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PUBLICAnONS m OPERATIONS RESEARCH No. 2 















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QA 273.P36 
Finite queuing tables, 



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OPERATIONS RESEARCH SOCIETY 
OF AMERICA 

Publications in Operations Research 
Number 2 



PUBLICATIONS IN OPERATIONS RESEARCH 

Operations Research Society of America 



JOHN W. ABRAMS 

RUSSELL L. ACKOFF 
THOMAS E. CAYWOOD 
CHARLES GOODEVE 

WILLIAM J. HORVATH 
B. O. KOOPMAN 



Editor 

George Shortley 

Associate Editors 

JOHN F. MAGEE 
HUGH J. MISER 
THORNTON PAGE 
E. W. PAXSON 

WILLIAM J. PLATT 

ANDREW SCHULTZ, JR. 
JACINTO STEINHARDT 




No. 1. Queues, Inventories and Mainten-ance 
Philip M. Morse 

No. 2. Finite Queuing Tables 

L. G. Peck and R. N. Hazelwood 

No. 3. Efficiency in Government throich Systems Analysis 
Roland N. McKean 



No. 4. A Comprehensive Bibliogr.\phy on Oper.^tions Rese.arch 
Operations Research Group, Case Institute 



FINITE QUEUING TABLES 



By L. G. PECK 

and R. IN. HAZELWOOD 

Operations Research and Mathematics Group 
ARTHUR D. LITTLE, INC. Cambridge, Mass. 



NEW YORK • JOHN WILEY & SONS, INC 

LONDON • CHAPMAN & HALL, LLMITED 



Copyright © 1958 by John Wiley & Sons, Inc. 

All Rights Reserved. This book or any part 
thereof must not be reproduced in any form 
without the written permission of the publisher. 



Library of Congress Catalog Card Number: 58-9683 
Printed in the United States of America 



Acknowledffments 



The authors wish to express their gratitude to the Remington Rand Division of 
Sperry Rand for generously donating the time on UNI\ AC I at the Service Center in 
New York City, as well as for the valuable services of Mr. Norman Stoner who operated 
the machine and made many helpful suggestions about the format of the tables. 

The results of the machine computations were recorded on Univac magnetic tape 
and were printed directly from this tape at the rate of 600 lines per minute on the 
Univac high-speed printer. The book was then produced by photo-offset from the ma- 
chine printing, thus requiring no editing and guaranteeing the accuracy of the printed 
results. 



Preface 



General Introduction 

This monograph is intended to provide useful tables for the solution of a variety 
of queuing problems. There are several textbooks and monographs which discuss the 
theoretical aspects of queuing theory, and the literature contains an impressive num- 
ber of research papers dealing with such problems. However, there is a paucity of 
directions for useful applications of these ideas. A person exposed to the concepts 
of queues is able to recognize broad areas where the theory could be applied, but he 
is often at a loss to find ways of solving the problems. We hope that these tables will 
prove helpful in the application of queuing theory to operating problems. 

In general, queuing theory deals with the formation of a queue, or waiting line. 
Suppose there is some service point, such as a cashier in a supermarket, a toll gate 
on a bridge, a repairman servicing a broken machine, etc. Part of the time this service 
point will be busy providing service, part of the time it will be idle. If the service 
point or "channel" is busy and another customer arrives, he must wait. This forms 
a queue. 



Exponential Holding Time 

Let us assume that a customer who is "idle," i.e., not being serviced or waiting 
for service, demands service in a random pattern which does not depend upon previous 
history. If the probability that an idle customer demands service during a time interval 
of length dt is dt/V (in the limit as dt -* 0), the physical significance of I] is easily 
determined as follows. Let a customer be idle at time f = 0. Divide the interval from 
t =0 to t = t^ intoi^-subintervals of length dt, so that v dt — t^. The probability that 

the customer remains idle up to time f« and then demands service during the interval 
from tf, to f . + dt^ is 



V 



U 



viii PREFACE 

Thus the average length of time that an idle customer remains idle is 



1/ 



'0 

The average idle time U is perhaps most significant in the application of the theory to 
repairmen servicing broken machines. Here the machines are the customers, and they 
create a demand for service when they break down. Thus U is the average length of a 
production run. The kind of statistical distribution of idle times (or trouble-free produc- 
tion runs) described here is called exponential distribution (because of the significance 

of the function e~ ) and is characteristic of random behavior which is independent of 
past history. 

We shall make the assumption of exponential distribution with respect to servicing 
time as well as idle time. More specifically, the probability that a service call which 
is in progress during a time interval of length dt is assumed to be dt/T. T is the aver- 
age servicing time (exclusive of the delay due to waiting in a queue) and e~ dt/T 
is the probability that the duration of a service call (exclusive of waiting) is between 
t and t + dt. 



Infinite Customer Population 

Queuing theory had its origins in the study of telephone service where the number 
/V of customers is very large and the demand \/U (= average number of calls per idle 
customer per unit time) is correspondingly small. In this case it is convenient to let 
N -*°° and assume that N/U tends to a finite limit A (= average number of calls per unit 
time— for the entire population). To work out the theory in this case, let M be the num- 
ber of channels and, for ra = 0, 1, 2, . . . , let P ^ (t) be the probability at time t that 
there are n customers being serviced (calling) or waiting for service (i.e., waiting for 
a free channel). Then, defining P_i (t) = 0, we have 

/ dt\ dt , ^ 

[\-\dt-n — ]P it) +\ dtP„ At) + {n+ D— P ^, it) {0=n<M) 

l-kdt-M—jP„{t)+\ dtP^_^ it) + M—P^_^^it) in ^ M) 



(1) PJt+dt) =^ 



These equations hold in the limit as dt -* and so ignore events whose probability is 

of the order (dt) or smaller (like two incoming calls during the interval dt). If we di- 
vide equations (1) by dt, let dt -* 0, and then assume that the system is in a steady 
state (so that all time derivatives are zero), we have 

U + 1)P„^1 - ^Pn = -Pn - ^Pn-l (0 ^ . < W) 

(2) "S 

WP„+1 - ^Pr. = MP. - ^P.-^ ^n>M) 



PREFACE 

where ^ = A , 

T = (no. of incoming calls per unit time) x (av. length of call) 

av. no. of incoming calls per unit time 

av. no. of calls completed per unit time per channel 

= av. no. of channels in use or av. no. of units being serviced 

If we add together the first n equations in (2), we find 



^3) ^Pr,-l = 

whence 



nP„ (O^ni/W) 



n 



MP^ {n^m 



(4) P, 



Pq (0 ^n^m) 



r 



Ml ,W"~'^ ^ 



Pn in ^ m 



We now determine P„ from the condition 2 P = 1; this leads to the requirement 
that M > g and gives 



w = 



(5) 






W-1^" ^^ U 



n=o n! U\ M-^ 



Most quantities of practical significance in this model may be determined from 
equations (3), (4), and (5). For example, as a check on the heuristic interpretation of 
^ given above, we see that the average number, H, of channels in use (or of calls in 
progress) is 

^ oo M-l oo 

(6) H ^ 1 nP^ + 1 MP ^ 1 ^P + 1 ^P ^ ^ 
The average length of the waiting line is 

CO ^" ^^ fW 

(7) L = 1 {n-M)P^ » P. 1 in-M) ^ = P.- ^ 



X PREFACE 

Since the average number of arrivals to (or departures from) the queue per unit time is 
A and the average length of the queue is L, it follows that the average waiting time is 

(8) W = L/X = LT/H 

Finally, the probability that an incoming call is delayed is 

^^ M M~H 

It is interesting to note that the average delay to a delayed call is W/D = T/(M—H), 
which does not depend at all on P ... 

Another important quantity is the probability D(t) dt that an incoming call will be 
delayed for a length of time between t and t + dt. This may be calculated as follows. 
In the first place, if at time all channels are in use and there are k—\ calls waiting 
for service (one of these being assigned to a channel the moment a previous call is 
completed), it is clear that a channel will finally become free at a time between t and 
t + dt with the probability 

i^-~\^-lM TuJ \Tvl T {k-l)\\TJ 



Thus 



D(t) = 









T n^M\T I " J M\T 



This agrees with our earlier results for D and IT; the probability that a call is delayed 
at all is 

I D{t) dt = D 

and the average delay to a call is 

roo TM U^Pr, 

t D(t) dt = ^ = W 

For M - 1 everything is easily computed from (3). Specifically: 

p, - ^"(i-a 

L = ^V(l-0. etc. 

This should be compared with the results in the case of finite population, to which we 
now proceed. 



PREFACE ^ 

Finite Customer Population 

The case in which demand arises from a finite rather than an infinite population is 
treated in these tables. 

Let the population N be fixed and, as before, let T, i, W be the average servicing, 
idle, and waiting times, respectively. If H, J, L are the average numbers of customers 
being serviced ("holding," in telephone parlance), idle and waiting, respectively, it is 
seen that H -^ J + L = .\ and 



(10) H : } : L -.S = r : r : IT : (r , f - IT) 

The fractions H/N, J/N, L.\ also represent the probability that a customer is holding, 
idle, or waiting, respectively (or the average fraction of customers in such states). 

If there were no waiting, the average number of channels in use (= average number 
of customers holding) would be AT '{T -^ U): because of the queue and because waiting 
customers (in the model we are considering) do not generate demand, the average num- 
ber of channels in use is reduced to \T'{T ^ L -^ ^). 

The factor 

T + U H + J 

F = 



r -^ r ^ r n 

represents the over-all efficiency of the system. It is a measure of the reduction of the 
average number of idle customers (or machines running) due to the formation of a queue. 
Tbis over-all efficiencv is peculiar to the case of a finite population. It is equal to 
one in the case of infinite population (T -»<»). F is one of the quantities tabulated as 
a function of A, M. and 



r + r 



From a knowledge of F, A, M, X, and T (or I'), it is easy to obtain H. J. L, and W. 
Thus 

H = FNX 
(10a) L = il-F) y 

J = SFil - X) 

can be obtained from (10). 

The probability D of a delay, which has the same significance as in the infinite 
population case, is tabulated as a function of A, M, and X. For a finite population, we 
introduce as before the probability P that n customers are holding or waiting, with the 

convention that P _, = P . j_-, = 0. Following the same reasoning which gave rise to (1) 

through (5), with the important difference that at any instant demand for service can 
arise only from the A— n customers who are idle, we find corresponding to (2): 



PREFACE 



(11) 



f(« + l)P„+l-— (/V-«)P„ = nP^ -_(/V-„ + l)P^_^ {OU^M) 



^^n+l --^(^-«)^„ = ^Pn -^(^-" + l)/'„-l m^n^m 



u 



u 



so that 



(12) 



Y^(^- + i)^_i =^ 



nP^ (O^n^M) 



^P^ {M^n^N) 



Finally 



(13) 



/V(/V-l) ...(/v- 



p_ = 



n + l) I X Y 



M\M 



n~M 



fc) 



{n^M) 



NjN-l) ...(/V-n + 1) / X Y Pq ^" ^ ^^ 



^here 



, ^ . -1 ^-lM/V-1)... /V-a + 1/ ^ \" ^ 
(14 Po = ^ + ^ 



/VCV-l) ...(/V-n + 1)/ A' X" 



^ j^l^^-'W 



(tt,) 



Organization of the Tables 

The tables are arranged by increasing values of the population A'. For each A', 
the values of X increase from 0.001 to 0.950. For each value of X, several values of 
M, the number of channels, may be found. For a given X and M, values of D and F are 
listed. 

To look up a value, search the pages for the appropriate A', look on that page for 
the value of X, and then read off the D's and F's associated with the various M*s. 

The values of N and X in the table increase according to: 



Range A' 


AA' 


Range X 


^X 


4-26 


1 


0.001-0.026 


0.001 


26-70 


2 


0.026-0.070 


0.002 


70-170 


5 


0.070-0.170 


0.005 


170- 


10 


0.170-0.340 


0.010 






0.340-0. 600 


0.020 






0.600-0.950 


0.050 



PREFACE xii 

Some Examples of Use of the Tables 

Consider a situation where there are eight automatic machines in operation. From 
past experience, it is known that these machines will operate for an average of 60 
hours, then require an average of 40 hours repair. Thus: 

/V = 8 

40 

X = = 0.400 

40 +60 

Now let us assume that each machine will produce a product representing a profit 
of SIO.OO per productive hour, and that the cost of servicing the machines is $5.00 per 
hour per serviceman. The cost per serviceman continues whether or not he is actually 
working. From equation (lOa) we can express H, L, and / in terms of F: 

H = 3.20f 
L = 8{1-F) 
/ = 4.80f 

Referring to the tables for population = 8, and X = 0.400, we can construct a table: 



M 6 5 4 3 2 1 

H 3.199"^ 3.17 3.05 2,70 1.97 l.OO" 

L 0.002 0.08 0.37 1.25 4.06 5.51 

/ 4.799"^ 4.75 4.58 4.05 2.97 1.49 

Service cost = 51/ 30.00 25.00 20.00 15.00 10.00 5.00 

$/hour expected earnings = 10/ 47.99 47.50 45.80 40.50 29.70 14.90 

$/hour expected net 17.99 22.50 25.80 25.50 19.70 9.90 



Now let us suppose that by instituting a policy of preventive maintenance that 
costs $10.00 per hour for the total of eight machines, it is possible to reduce the 
servicing time from 40 hours to 20 hours while increasing the production time from 60 
to 80 hours. Then: 

20 

X = = 0.200 

80 + 20 



The new values of //, L, and / become: 



// = 1.6F 
L = 8(1 -f) 
/ = 6.4F 



xiv PREFACE 

Referring to the tables for population =8 and ^ = 0.200, we can construct another table: 



M 






4 


3 


2 


1 


H 






1.599 


1,58 


1.47 


0.97 


L 






0.002 


0.12 


0.67 


3.15 


J 






6.399 


6.30 


5.86 


3.88 


Service c( 


DSt* 




30.00 


25.00 


20.00 


15.00 


Expected 


earni 


ngs 


63.99 


63.00 


58.60 


38.80 


Expected 


net 




33.99 


38.00 


38.60 


23.80 


Including 


fixed 


cost 


of $10.00. 









Notice here how the effect of preventive maintenance in reducing X results in a higher 
expected net. The service cost for two repairmen plus the maintenance is equal to the 
cost for four repairmen in the previous example, but because of better equipment utiliza- 
tion, it is seen that the expected net increases by nearly 50 per cent. 

We can also define a measure of how effectively the servicemen are used in each 
case. Since // is the average number of machines being serviced, H/M represents the 
fraction of time the serviceman will be busy, and: 

Coefficient of loss for servicemen = 1 — H/M 

For the examples cited above, when X = 0.4, the maximum expected net was at- 
tained with iW = 4. Here, H = 3.05, so that 

1 - H/M = 0.238 

while for X = 0.2, the maximum was attained with M = 2, for which H - 1.47, and 

1 - H/M = 0.265 

Another type of problem for which these tables are useful is determination of the 
number of service channels needed to meet demand. Suppose there are nine welders 
connected to a power system. Each welder operates independently of the others. The 
average time of each welding operation is 9 seconds, and between each welding there 
is an average time of 91 seconds. Then 






7 = 9 

(/ = 91 

X = 9/9 + 91 = 0.090 



Looking at the table (page 00) for these values, we see that the probability of a 
delay, D, is quite high for only one channel CW = 1). If simple average demand had been 
used, we might calculate that with nine welders and X - 0.090 one channel would be 
sufficient. The effect of random demands for service makes the one-channel case inef- 
ficient from the standpoint of the welders. Almost two thirds of the demand for power 
will meet with a delay. For /l/ = l, the average length of the waiting line will be 0.98. 
If the number of channels is increased to two, L =0.099. With three channels, L =0.009. 



PREFACE XV 

Knowing the average length of the waiting line for the various numbers of channels 
and the service time T, we can compute the average delay. Since T = 9 seconds, 

when M = I average delay = 8.82 seconds 
= 2 average delay = 0.891 second 
= 3 average delay = 0.081 second 

The cost of the lost time for the welders can be computed and measured against the 
cost of providing more service channels. The cost of the delay may include slower 
production rates as well as pay costs. 



Machine Program 

In the Univac calculation used to prepare the tables, equation (12) was used, 

rather than (13) and (14), because it is a recurrence formula of the sort which is best 

adapted to digital computation. For a given M, N, X, one can determine from (12) the 

value of n for which P is a maximum. The machine program begins computing with 

this value of n and a trial value P„ = 1/2. It then proceeds by steps to higher values 

of n until A' is reached or until the calculated trial value of P is less than 10 

n 

The same is done working from the starting value of n downward toward n = 0. Finally 
the trial values of P are scaled so as to satisfy 2P =1. This assures an accuracy 

better than ^'10 in all calculated results. The values were then rounded to three 
significant figures. 

In case M — N (so that a channel is always available for a call and there is no 
waiting), we find from (13) that 



whence 



anc 



^-(^)(.^r^o 



v-ij:)fe)^(-T^r-o-.r^ 



p„ -Q^"(i-^)^-" 



The average number of channels in use (calls in progress) is 



H. I 



nP = NX 
« = " 



xvi PREFACE 

We may go farther and find the variance or average value of 

2 N 2 

(// - no. of calls in progress) = 2 P (H — n) 

n = " 

^ H^ -2H 1 nP + 1 n^P 

= nV - 2nV +NX[l + (/V-1) X] 

In making the computations, we did not therefore tabulate values of M greater than 

/V^ + 4a - /V^ + 4 >J NX{l-X). 

Summary of Definitions and Nomenclature 

/V = Population (number of machines, number of customers, etc.) 

M = Service channels (repairmen, telephone lines, etc.) 

T = Average service time (repair time, length of conversation, etc.) 

W - Average waiting time 

V = Average idle time (running time, time not calling for service, etc.) 

NT 

H = Average number of units being serviced = 

{T + W + U) 

m 

L = Average number of units waiting for service = 
/ = Average number of units idle (running) 
F = Efficiency factor = 



{T + W + U) 

NU 



{T + W + U) 
H + J 



X = Service factor = 



H + L +J 
T 



T + U 
D = Probability that if a unit calls for service it will have to wait ("delay" probability) 

Now, since 

NX = Average number of units demanding service, 

H = FNX 
L = /V(l-F) 
/ = NFil-X) 



FINITE 


QUEUING TABLES 
















POPULATION 


4 - 


5 


X 


M 


D 


F 


X 


M 


D 


F 


X 


M 


D 


F 


X 


M 


D 


F 


.015 


1 


.045 


.999 


.200 


1 


.549 


.862 


.480 


1 


.926 


.51 1 


.062 


2 


.02? 


.999 


.022 


1 


.066 


.998 


.210 


3 


.009 


.999 


.500 


3 


.125 


.980 




1 


.245 


.982 


.030 


1 


.090 


.997 




2 


.116 


.986 




2 


.529 


.850 


.064 


2 


.02^ 


.999 


.034 


1 


.102 


.996 




1 


.572 


.849 




1 


.937 


.492 




1 


.253 


.981 


.038 


1 


.1 14 


.995 


.220 


3 


.01 1 


.999 


.520 


3 


.141 


.976 


.066 


2 


.024 


.999 


.042 


1 


.126 


.994 




2 


.129 


.984 




2 


.561 


.835 




1 


.260 


.979 


.046 


1 


.137 


.993 




1 


.593 


.835 




1 


.947 


.475 


.068 


2 


.026 


.999 


.048 


1 


.143 


.992 


.230 


3 


.012 


.999 


.540 


3 


.157 


.972 




1 


.268 


.978 


.052 


1 


.155 


.991 




2 


.140 


.982 




2 


.592 


.820 


.070 


2 


.02-7 


.999 


.054 


1 


.161 


.990 




1 


.614 


.822 




1 


.956 


.459 




1 


.275 


.977 


.058 


1 


.173 


.989 


.240 


3 


.014 


.999 


.560 


3 


.176 


.968 


.075 


2 


.051 


.999 


.060 


1 


.179 


.988 




2 


.151 


.980 




2 


.623 


.805 




1 


.294 


.973 


.062 


1 


.184 


.987 




1 


.634 


.808 




1 


.963 


.443 


.080 


2 


.055 


.998 


.064 


1 


.190 


.986 


.250 


3 


.016 


.999 


.580 


3 


.195 


.964 




1 


.31 3 


.969 


.066 


1 


.196 


.985 




2 


.163 


.977 




2 


.653 


.789 


.085 


2 


.040 


.998 


.070 


2 


.014 


.999 




1 


.654 


.794 




1 


.969 


.429 




1 


.35? 


.965 




1 


.208 


.984 


.260 


3 


.018 


.998 


.600 


3 


.216 


.959 


.090 


2 


.04U 


.998 


.075 


2 


.016 


.999 




2 


.175 


.975 




2 


.682 


.774 




1 


.350 


.960 




1 


.222 


.981 




1 


.673 


.780 




1 


.975 


.415 


.095 


2 


.049 


.997 


.080 


2 


.018 


.999 


.270 


3 


.020 


.998 


.650 


3 


.275 


.944 




.1 


.368 


.955 




1 


.237 


.978 




2 


.137 


.972 




2 


.752 


.734 


.100 


2 


.054 


.997 


.085 


2 


.021 


.999 




1 


.691 


.766 




1 


.985 


.384 




1 


.386 


.950 




1 


.251 


.975 


.280 


3 


.022 


.998 


.700 


3 


.343 


.926 


.105 


2 


.059 


.997 


.090 


? 


.023 


.999 




2 


.200 


.968 




2 


.816 


.695 




1 


.404 


.945 




1 


.265 


.972 




1 


.708 


.752 




1 


.991 


.357 


.110 


2 


.065 


.996 


.095 


2 


.026 


.999 


.290 


3 


.024 


.996 


.750 


3 


.422 


.905 




1 


.421 


.939 




1 


.280 


.969 




2 


.213 


.965 




2 


.871 


.657 


.1 15 


2 


.071 


.995 


.100 


2 


.028 


.999 




1 


.725 


.738 




1 


.996 


.333 




1 


.459 


.933 




1 


.294 


.965 


.300 


3 


.027 


.997 


.800 


3 


.512 


.880 


.120 


2 


.076 


.995 


.105 


2 


.031 


.998 




2 


.226 


.962 




2 


.917 


.621 




1 


.456 


.927 




1 


.308 


.962 




1 


.741 


.724 




1 


.998 


.312 


.125 


2 


.08? 


.994 


.110 


2 


.034 


.998 


.310 


3 


.030 


.997 


.850 


3 


.614 


.852 




1 


.473 


.920 




1 


.321 


.958 




2 


.240 


.958 




2 


.954 


.587 


.130 


2 


.C80 


.993 


.115 


2 


.037 


.998 




1 


.756 


.710 




1 


.999 


.294 




1 


.469 


.914 




1 


.335 


.954 


.320 


3 


.033 


.997 


.900 


3 


.729 


.821 


.135 


c~ 


.095 


.993 


.120 


2 


.041 


.997 




2 


.254 


.954 




2 


.979 


.555 




1 


.505 


.907 




1 


.349 


.950 




1 


.771 


.696 


.950 


3 


.857 


.786 


.140 


2 


.10? 


.992 


.125 


2 


.044 


.997 


.330 


3 


.036 


.996 




2 


.995 


.526 




1 


.521 


.900 




1 


.362 


.945 




2 


.268 


.950 










.145 


3 


.01 1 


.999 


.130 


2 


.047 


.997 




1 


.785 


.683 












2 


.109 


.991 




1 


.376 


.941 


.340 


3 


.039 


.996 












1 


.557 


.892 


.135 


2 


.051 


.996 




2 


.282 


.945 










.150 


3 


.01? 


.999 




1 


.389 


.936 




1 


.798 


.670 


POPULATION 


5 




2 


.115 


.990 


.140 


2 


.055 


.996 


.360 


3 


.047 


.994 












1 


.553 


.885 




1 


i402 


.931 




2 


.312 


.936 


.012 


1 


.048 


.999 


.155 


3 


.01 3 


.999 


.145 


2 


.058 


.995 




1 


.823 


.644 


.019 


1 


.076 


.998 




2 


.123 


.989 




1 


.415 


.926 


.380 


3 


.055 


.993 


.025 


1 


.100 


.997 




1 


.56R 


.877 


.150 


2 


.062 


.995 




2 


.342 


.926 


.030 


1 


.120 


.996 


.160 


3 


.C15 


.999 




1 


.428 


.921 




1 


.846 


.619 


.034 


1 


.135 


.995 




2 


.1 50 


.988 


.155 


2 


.066 


.994 


.400 


3 


.064 


.992 


.036 


1 


.143 


.994 




1 


.58? 


.869 




1 


.441 


.916 




2 


.372 


.915 


.040 


1 


.159 


.993 


.165 


3 


.016 


.999 


.160 


2 


.071 


.994 




1 


.866 


.595 


.042 


1 


.167 


.992 




2 


.1 57 


.987 




1 


.454 


.910 


.420 


3 


.074 


.990 


.044 


1 


.175 


.991 




1 


.597 


.861 


.165 


2 


.075 


.993 




2 


.403 


.903 


.046 


1 


.183 


.990 


.170 


3 


.017 


.999 




1 


.466 


.904 




1 


.884 


.572 


.050 


1 


.198 


.989 




2 


.145 


.985 


.170 


2 


.079 


.993 


.440 


3 


.085 


.986 


.052 


1 


.206 


.988 




1 


.61 1 


.853 




1 


.479 


.899 




2 


.435 


.891 


.054 


1 


.214 


.987 


.180 


3 


.021 


.999 


.180 


2 


.088 


.991 




1 


.900 


.551 


.056 


2 


.018 


.999 




2 


.161 


.983 




1 


.503 


.887 


.460 


3 


.097 


.985 




1 


.222 


.985 




1 


.658 


.836 


.190 


2 


.098 


.990 




2 


.466 


.878 


.058 


2 


.019 


.999 


.190 


3 


.024 


.998 




1 


.526 


.874 




1 


.914 


.530 




1 


.229 


.984 




2 


.177 


.980 


.200 


3 


.008 


.999 


.480 


3 


.111 


.983 


.060 


2 


.020 


.999 




1 


.665 


.819 




2 


.108 


.988 




2 


.498 


.864 




1 


.237 


.983 


.200 


3 


.028 


.998 



FINITE QUEUING TABLES 

X M D F X 
.200 
.210 

.220 



POPULATION 5 
F X M D 



,230 



,240 



,250 



,260 



,270 



,280 



,290 



,300 



,310 



,320 



,330 



,340 



,360 



,380 



,400 



,420 



2 


.194 


.976 


.420 


3 


.21 1 


.966 


POPULATION 


6 


.130 


3 


.018 


.999 


1 


.689 


.801 




2 


.616 


.826 












2 


.1 59 


.989 


3 


.032 


.998 




1 


.961 


.471 


.010 


1 


.050 


.999 




1 


.594 


.882 


2 


.21 1 


.973 


.440 


4 


.037 


.996 


.017 


1 


.085 


.998 


.135 


3 


.020 


.999 


1 


.713 


.783 




3 


.238 


.960 


.022 


1 


.1 10 


.997 




2 


.148 


.988 


3 


.036 


.997 




2 


.652 


.807 


.026 


1 


.130 


.996 




1 


.61? 


.873 


2 


.229 


.969 




1 


.969 


.451 


.030 


1 


.149 


.995 


.140 


3 


.023 


.999 


1 


.735 


.765 


.460 


4 


.045 


.995 


.032 


1 


.159 


.994 




2 


.158 


.986 


3 


.041 


.997 




3 


.266 


.953 


.034 


1 


.169 


.993 




1 


.650 


.863 


2 


.247 


.965 




2 


.686 


.787 


.038 


1 


.189 


.992 


.145 


3 


.025 


.999 


1 


.756 


.747 




1 


.975 


.432 


.040 


1 


.199 


.991 




2 


.168 


.985 


3 


.046 


.996 


.480 


4 


.053 


.994 


.042 


1 


.208 


.990 




1 


.647 


.853 


2 


.265 


.960 




3 


.296 


.945 


.044 


1 


.218 


.989 


.150 


3 


.027 


.998 


1 


.775 


.730 




2 


.719 


.767 


.046 


1 


.228 


.987 




2 


.179 


.983 


3 


.052 


.995 




1 


.980 


.415 


.048 


2 


.021 


.999 




1 


.664 


.843 


2 


.284 


.955 


.500 


4 


.063 


.992 




1 


.237 


.986 


.155 


3 


.050 


.998 


1 


.794 


.712 




3 


.327 


.936 


.050 


2 


.023 


.999 




2 


.189 


.981 


3 


.058 


.994 




2 


.750 


.748 




1 


.247 


.985 




1 


.680 


.833 


2 


.303 


.950 




1 


.985 


.399 


.052 


2 


.025 


.999 


.160 


3 


.033 


.998 


1 


.81 1 


.695 


.520 


4 


.073 


.991 




1 


.257 


.984 




2 


.200 


.980 


3 


.064 


.994 




3 


.359 


.927 


.054 


2 


.027 


.999 




1 


.695 


.822 


2 


.323 


.944 




2 


.779 


.728 




1 


.266 


.982 


.165 


3 


.056 


.998 


1 


.827 


.677 




1 


.988 


.384 


.056 


2 


.029 


.999 




2 


.21 1 


.978 


3 


.071 


.993 


.540 


4 


.085 


.989 




1 


.276 


.981 




1 


.710 


.812 


2 


.342 


.938 




3 


.392 


.917 


.058 


2 


.031 


.999 


.170 


3 


.059 


.998 


1 


.842 


.661 




2 


.806 


.708 




1 


.285 


.979 




2 


.22? 


.976 


4 


.007 


.999 




1 


.991 


.370 


.060 


2 


.033 


.999 




1 


.725 


.801 


3 


.079 


.992 


.560 


4 


.098 


.986 




1 


.295 


.978 


.180 


3 


.045 


.997 


2 


.362 


.932 




3 


.426 


.906 


.062 


2 


.035 


.999 




2 


.245 


.971 


1 


.856 


.644 




2 


.831 


.689 




1 


.304 


.976 




1 


.75? 


.779 


4 


.008 


.999 




1 


.993 


.357 


.064 


2 


.037 


.999 


.190 


3 


.05? 


.996 


3 


.086 


.990 


.580 


4 


.113 


.984 




1 


.314 


.974 




2 


.268 


.966 


2 


.382 


.926 




3 


.461 


.895 


.066 


2 


.039 


.999 




1 


.778 


.757 


1 


.869 


.628 




2 


.854 


.670 




1 


.323 


.973 


.200 


3 


.060 


.995 


4 


.009 


.999 




1 


.994 


.345 


.068 


2 


.042 


.998 




2 


.291 


.961 


3 


.094 


.989 


.600 


4 


.130 


.981 




1 


.333 


.971 




1 


.801 


.736 


2 


.402 


.919 




3 


.497 


.883 


.070 


2 


.044 


.998 


.210 


3 


.069 


.994 


1 


.881 


.613 




2 


.875 


.652 




1 


.342 


.969 




2 


.315 


.955 


4 


.010 


.999 




1 


.996 


.333 


.075 


2 


.050 


.998 




1 


.82? 


.714 


3 


.103 


.988 


.650 


4 


.179 


.972 




1 


.365 


.964 


.220 


4 


.010 


.999 


2 


.422 


.912 




3 


.588 


.850 


.080 


2 


.057 


.997 




3 


.078 


.993 


1 


.892 


.597 




2 


.918 


.608 




1 


.388 


.958 




2 


.340 


.948 


4 


.012 


.999 




1 


.998 


.308 


.085 


2 


.064 


.997 




1 


.84? 


.693 


3 


.1 12 


.986 


.700 


4 


.240 


.960 




1 


.410 


.953 


.230 


4 


.01? 


.999 


2 


.442 


.904 




3 


.678 


.815 


.090 


2 


.071 


.996 




3 


.088 


.992 


1 


.902 


.583 




2 


.950 


.568 




1 


.432 


.946 




2 


.364 


.941 


4 


.013 


.999 




1 


.999 


.286 


.095 


2 


.078 


.996 




1 


.860 


.672 


3 


.121 


.985 


.750 


4 


.316 


.944 




1 


.454 


.940 


.240 


4 


.014 


.999 


2 


.462 


.896 




3 


.763 


.777 


.100 


2 


.086 


.995 




3 


.098 


.991 


1 


.91 1 


.569 




2 


.972 


.532 




1 


.475 


.932 




2 


.389 


.934 


4 


.017 


.998 


.800 


4 


.410 


.924 


.105 


2 


.094 


.994 




1 


.876 


.652 


3 


.141 


.981 




3 


.841 


.739 




1 


.496 


.'925 


.250 


4 


.016 


.999 


2 


.501 


.880 




2 


.987 


.500 


.110 


2 


.103 


.993 




3 


.109 


.989 


1 


.927 


.542 


.850 


4 


.522 


.900 




1 


.516 


.917 




2 


.41 4 


.926 


4 


.021 


.998 




3 


.907 


.702 


.115 


3 


.013 


.999 




1 


.890 


.632 


3 


.163 


.976 




2 


.995 


.470 




2 


.111 


.992 


.260 


4 


.01 8 


.999 


2 


.540 


.863 


.900 


4 


.656 


.871 




1 


.537 


.909 




3 


.121 


.987 


1 


.941 


.516 




3 


.957 


.666 


.120 


3 


.015 


.999 




2 


.459 


.918 


4 


.026 


.997 




2 


.998 


.444 




2 


.120 


.991 




1 


.90-^ 


.613 


3 


.186 


.972 


.950 


4 


.815 


.838 




1 


.556 


.900 


.270 


4 


.021 


.998 


2 


.579 


.845 




3 


.989 


.631 


.125 


3 


.016 


.999 




3 


.1 53 


.985 


1 


.952 


.493 












2 


.129 


.990 




2 


.463 


.909 


4 


.031 


.997 












1 


.575 


.892 




1 


.915 


.594 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 6 - 7 
F X M D F 



.280 



.290 



.300 



.310 



.320 



.330 



.340 



.360 



.380 



.400 



.420 



.440 



4 


.024 


.998 


3 


.146 


.983 


2 


.488 


.900 


1 


.925 


.577 


4 


.028 


.998 


3 


.159 


.981 


2 


.512 


.890 


1 


.934 


.560 


4 


.031 


.997 


3 


.173 


.978 


2 


.536 


.880 


1 


.942 


.543 


4 


.035 


.997 


3 


.188 


.976 


2 


.560 


.870 


1 


.950 


.528 


u 


.040 


.996 


3 


.203 


.973 


2 


.583 


.859 


1 


.956 


.513 


4 


.045 


.996 


3 


.219 


.969 


2 


.606 


.848 


1 


.962 


.499 


4 


.050 


.995 


3 


.235 


.966 


2 


.628 


.837 


1 


.967 


.485 



4 .061 .994 

3 .269 .958 

2 .670 .814 
1 .975 .460 

5 .008 .999 

4 .074 .992 

3 .305 .949 



2 .711 .790 

1 .981 .436 
5 .010 .999 
4 .089 .990 

3 .343 .939 

2 .748 .766 
1 .986 .415 



5 .013 .999 

4 .106 .987 

3 .381 .928 
2 .782 .742 
1 .989 .396 

5 .016 .999 

4 .125 .984 



.500 



.520 



.540 



,560 



.580 



.600 



.650 



.700 



.750 



.800 



.850 



.900 



4 


.194 


.972 


.030 


1 


.179 


.994 


.125 


1 


.669 


.858 


3 


.541 


.875 


.032 


1 


.191 


.993 


.130 


3 


.054 


.998 


2 


.888 


.650 


.034 


1 


.203 


.992 




2 


.19A 


.983 


1 


.997 


.333 


.036 


1 


.214 


.991 




1 


.68B 


.847 


5 


.038 


.996 


.038 


1 


.226 


.990 


.135 


3 


.057 


.998 


4 


.221 


.966 


.040 


1 


.238 


.988 




2 


.209 


.981 


3 


.581 


.859 


.042 


2 


.024 


.999 




1 


.707 


.834 


2 


.907 


.629 




1 


.249 


.987 


.140 


3 


.041 


.998 


1 


.998 


.320 


.04U 


2 


.027 


.999 




2 


.22? 


.979 


5 


.046 


.995 




1 


.261 


.986 




1 


.725 


.822 


4 


.250 


.960 


.046 


2 


.029 


.999 


.145 


3 


.045 


.997 


3 


.621 


.843 




1 


.273 


.984 




2 


.256 


.977 


2 


.924 


.609 


.048 


2 


.031 


.999 




1 


.74? 


.810 


1 


.998 


.309 




1 


.284 


.983 


.150 


3 


.050 


.997 


5 


.055 


.994 


.050 


2 


.034 


.999 




2 


.249 


.974 


4 


.281 


.953 




1 


.296 


.981 




1 


.759 


.797 


3 


.659 


.826 


.052 


2 


.037 


.999 


.155 


3 


.054 


.997 


2 


.938 


.589 




1 


.307 


.979 




2 


.263 


.972 


1 


.999 


.298 


.054 


2 


.039 


.999 




1 


.775 


.784 


5 


.066 


.992 




1 


.318 


.978 


.160 


3 


.05q 


.996 


4 


.315 


.946 


.056 


2 


.042 


.999 




2 


.27« 


.969 


3 


.696 


.809 




1 


.330 


.976 




1 


.789 


.771 


2 


.950 


.570 


.058 


2 


.o/;5 


.999 


.165 


3 


.064 


.996 


1 


.999 


.287 




1 


.341 


.974 




2 


.29? 


.966 


5 


.078 


.991 


.060 


2 


.048 


.998 




1 


.804 


.758 


4 


.350 


.937 




1 


.352 


.972 


.170 


3 


.060 


.995 


3 


.731 


.792 


.062 


2 


.051 


.998 




2 


.306 


.963 


2 


.960 


.552 




1 


.363 


.970 




1 


.817 


.745 


1 


.999 


.278 


.064 


2 


.054 


.998 


.180 


4 


.01 ■> 


.999 


5 


.116 


.985 




1 


.374 


.967 




3 


.080 


.994 


4 


.445 


.913 


.066 


2 


.057 


.998 




2 


.356 


.956 


3 


.81 1 


.747 




1 


.385 


.965 




1 


.84? 


.720 


2 


.979 


.512 


.068 


2 


.061 


.998 


.190 


4 


.014 


.999 


5 


.168 


.977 




1 


.396 


.963 




3 


.09? 


.993 


4 


.547 


.884 


.070 


2 


.064 


.997 




2 


.365 


.949 


3 


.877 


.704 




1 


.407 


.960 




1 


.864 


.694 


2 


.990 


.476 


.075 


2 


.073 


.997 


.200 


4 


.017 


.999 


5 


.237 


.966 




1 


.434 


.953 




3 


.105 


.991 


4 


.653 


.851 


.080 


2 


.062 


.996 




2 


.395 


.941 


3 


.927 


.662 




1 


.460 


.946 




1 


.683 


.669 


2 


.995 


.444 


.085 


2 


.092 


.995 


.210 


4 


.021 


.999 


5 


.328 


.950 




1 


.486 


.939 




3 


.1 IQ 


.989 


4 


.757 


.815 


.090 


2 


.102 


.994 




2 


.425 


.932 


3 


.962 


.623 




1 


.51 1 


.930 




1 


.900 


.645 


2 


.998 


.417 


.095 


2 


.1 12 


.993 


.220 


4 


.025 


.998 


5 


.444 


.930 




1 


.536 


.921 




3 


.1 54 


.987 


4 


.852 


.777 


.100 


3 


.016 


.999 




2 


.454 


.92? 


3 


.984 


.588 




2 


.123 


.992 




1 


.915 


.622 


5 


.590 


.904 




1 


.559 


.912 


.230 


4 


.029 


.998 



,460 



3 .421 .916 

2 .813 .719 

1 .992 .378 
5 .021 .998 

4 .146 .981 

3 .461 .903 

2 .841 .695 



.950 



4 .929 .739 

3 .995 .555 

5 .774 .872 

4 .981 .702 
3 .999 .526 



il05 



110 



il 15 



3 .019 .999 

2 .134 .991 

1 .583 .902 

3 .021 .999 

2 .146 .990 
1 .605 .892 

3 .024 .999 



.240 



3 .150 .985 

2 .484 .912 

1 .927 .600 

4 .054 .998 

3 .166 .983 

2 .513 .902 
1 .95S .579 



,480 



.500 



1 


.994 


.362 


POPULATION 


7 


5 


.025 


.998 








4 


.169 


.977 


.009 


.054 


.999 


3 


.501 


.889 


.016 


.096 


.998 


2 


.866 


.673 


.020 


.120 


.997 


1 


.996 


.347 


.023 


.138 


.996 


5 


.031 


.997 


.026 


.155 


.995 



il20 



.125 



2 .158 .988 

1 .627 .881 

3 .027 .999 

2 .170 .987 

1 .648 .870 

3 .030 .999 

2 .183 .985 



.250 



.260 



4 .059 .997 

3 .183 .980 

2 .54? .890 

1 .9401 ,559 

4 .045 .997 

3 .20? .977 

2 .570 .879 



FINITE QUEUING TABLES 



POPULATION 



7 - 



.260 
.270 



.280 



1 .956 .540 



.051 .996 
.220 .973 
.598 .866 



1 .963 .522 
a .058 .995 
3 .240 .969 



.4U0 



.460 



2 


.913 


.636 


.800 


3 


.993 


.536 


.080 


1 .550 


.932 


1 


.998 


.325 


.850 


6 


.377 


.949 


.085 


3 .017 


.999 


6 


.009 


.999 




5 


.792 


.829 




2 .123 


.993 


5 


.078 


.992 




4 


.967 


.671 




1 .550 


.922 


4 


.290 


.955 




3 


.998 


.504 


.090 


3 .020 


.999 



3 .643 .842 
2 .931 .612 



.900 



b .531 .926 
5 .897 .790 



2 .1 57 .992 
1 .586 .912 



2 .624 .854 
1 .969 .504 



.480 



.290 



,300 



.310 



.320 



,330 



,340 



,360 



.380 



.400 



.420 



.440 



5 


.009 


.999 


4 


.065 


.994 


3 


.260 


.965 


2 


.650 


.840 


1 


.974 


.488 


5 


.01 1 


.999 


4 


.073 


.993 


3 


.281 


.961 


2 


.675 


.827 


1 


.978 


.473 


5 


.013 


.999 


4 


.082 


.992 


3 


.302 


.956 


2 


.699 


.813 


1 


.982 


.458 


5 


.015 


.999 


4 


.091 


.991 


3 


.324 


.950 


2 


.722 


.799 


1 


.985 


.444 


5 


.017 


.999 


4 


.101 


.990 


3 


.346 


.945 


2 


.744 


.785 


1 


.987 


.431 


5 


.020 


.999 


4 


.1 12 


.988 


3 


.368 


.939 


2 


.765 


.771 


1 


.989 


.419 


5 


.026 


.998 


4 


.135 


.985 


3 


.414 


.926 


2 


.803 


.743 


1 


.993 


.396 


5 


.033 


.997 


4 


.161 


.981 


3 


.461 


.912 


2 


.837 


.715 


1 


.995 


.375 


5 


.042 


.996 


4 


.190 


.976 


3 


.508 


.896 


2 


.866 


.688 


1 


.996 


.357 


5 


.052 


.995 


4 


.221 


.970 


3 


.554 


.879 


2 


.891 


.662 


1 


.998 


.340 


6 


.007 


.999 


5 


.064 


.994 


4 


.254 


.963 


3 


.599 


.861 



.500 



.520 



.540 



.560 



,580 



.600 



.650 



.700 



.750 



1 .999 .31 1 
6 .012 .999 
5 .094 .990 
4 .328 .947 
3 .685 .823 

2 .945 .589 
1 .999 .296 



.950 



4 .990 .635 
6 .735 .896 

5 .971 .751 
4 .999 .601 



6 


.016 


.999 


POPULATION 


5 


.112 


.987 




4 


.367 


.937 


.009 1 . 


3 


.724 


.803 


.015 1 . 


2 


.957 


.567 


.018 1 . 


1 


.999 


.286 


.022 1 . 



6 .020 .998 



.024 



063 .999 

105 .998 

126 .997 

154 .996 

1 .167 .995 



.800 



5 


.133 


.984 


.026 


1 


.181 


.994 


4 


.408 


.926 


.030 


1 


.209 


.992 


3 


.761 


.782 


.032 


1 


.222 


.991 


2 


.967 


.546 


.034 


1 


.236 


.990 


6 


.025 


.998 


.036 


1 


.250 


.989 


5 


.156 


.980 


.038 


2 


.028 


.999 


4 


.451 


.915 




1 


.263 


.987 


3 


.795 


.762 


.040 


2 


.030 


.999 


2 


.975 


.527 




1 


.277 


.986 


6 


.031 


.997 


.042 


2 


.033 


.999 


5 


.181 


.976 




1 


.290 


.984 


4 


.494 


.902 


.044 


2 


.037 


.999 


3 


.827 


.741 




1 


.304 


.983 


2 


.981 


.509 


.046 


2 


.040 


.999 


6 


.038 


.996 




1 


.317 


.981 


5 


.209 


.971 


.048 


2 


.043 


.999 


4 


.537 


.889 




1 


.330 


.979 


3 


.355 


.721 


.050 


2 


.046 


.999 


2 


.986 


.492 




1 


.343 


.977 


6 


.047 


.995 


.052 


2 


.050 


.999 


5 


.240 


.966 




1 


.356 


.975 


4 


.581 


.875 


.054 


2 


.054 


.998 


3 


.880 


.701 




1 


.370 


.972 


2 


.990 


.476 


.056 


2 


.057 


.998 


6 


.075 


.992 




1 


.382 


.970 


5 


.329 


.948 


.058 


2 


.061 


.998 


4 


.687 


.836 




1 


.395 


.968 


3 


.930 


.654 


.060 


2 


.065 


.998 


2 


.996 


.439 




1 


.408 


.965 


6 


.118 


.986 


.062 


2 


.069 


.997 


5 


.434 


.926 




1 


.421 


.962 


4 


.783 


,794 


.064 


2 


.074 


.997 


3 


.963 


.610 




1 


.433 


.959 


2 


.998 


.408 


.066 


2 


.078 


.997 


6 


.178 


.978 




1 


.446 


.956 


5 


.550 


.898 


.068 


2 


.082 


.997 


4 


.864 


.752 




1 


.458 


.953 


3 


.982 


.571 


.070 


2 


.087 


.996 


2 


.999 


.381 




1 


.470 


.950 


6 


.262 


.966 


.075 


2 


.098 


.995 


5 


.673 


.865 




1 


.501 


.942 


4 


.926 


.71 1 


.080 


2 


.111 


.995 



.09! 



.100 



.105 



.110 



.115 



.120 



i125 



.130 



.135 



.140 



.145 



.150 



.155 



.160 



.165 



.170 



,180 



3 .02- 



.999 



2 .150 .991 



1 


.613 


.901 


3 


.02^ 


.999 


2 


.16=, 


.989 


1 


.658 


.889 


3 


.051 


.999 


2 


.179 


.988 


1 


.663 


.876 


3 


.055 


.999 


2 


.194 


.986 


1 


.687 


.863 


3 


.059 


.998 


2 


.210 


.984 


1 


.709 


.849 


3 


.044 


.998 


2 


.225 


.981 


1 


.751 


.835 


3 


.049 


.998 


2 


.24 1 


.979 



1 .751 .821 



3 


.054 


.997 


2 


.25S 


.976 


1 


.770 


.807 


3 


.060 


.997 


2 


.274 


.973 



1 .789 .792 
3 .066 .996 



2 


.29 1 


.970 


1 


.806 


.777 


3 


.072 


.996 


2 


.308 


.967 


1 


.82? 


.762 


4 


.01 ' 


.999 


3 


.07O 


.995 


2 


.325 


.964 


1 


.8 57 


.747 


4 


.014 


.999 


3 


.086 


.994 


2 


.34? 


.960 


1 


.851 


.732 


4 


.016 


.999 


3 


.09 3 


.994 


2 


.360 


.956 


1 


.864 


.717 


4 


.01« 


.999 


3 


.100 


.993 


2 


.377 


.952 


1 


.876 


.702 


4 


.020 


.999 


3 


.108 


.992 


2 


.395 


.947 


1 


.887 


.688 


4 


.024 


.999 


3 


.125 


.990 


2 


.450 


.938 



FINITE QUEUING TABLES 
X M D F X 



,180 1 .907 .659 

,190 4 ,029 .998 

3 .143 .988 

2 .465 .927 
1 .923 .632 

,200 4 .035 .998 

3 .162 .985 





2 


.499 


.916 




1 


.937 


.606 


210 


4 


.041 


.997 




3 


.182 


.982 




2 


.533 


.904 




1 


.949 


.581 


220 


4 


.048 


.997 




3 


.203 


.979 




2 


.566 


.891 




1 


.958 


.558 


230 


4 


.056 


.996 




3 


.225 


.975 




2 


.599 


.878 




1 


.966 


.536 



.320 



.330 



.340 



.360 



M 



.380 



D F 

3 .453 .921 

2 .330 .737 

1 .995 .390 
5 .045 .996 

4 .181 .980 

3 .480 .913 

2 .849 .721 



1 .996 .378 

5 .051 .996 
4 .198 .977 
3 .506 .904 

2 .865 .705 
1 .997 .367 

6 .01 1 .999 



5 .065 .994 

4 .235 .970 
3 .559 .885 
2 .894 .674 
1 .998 .347 

6 .014 .999 

5 .081 .992 



POPULATION 8 - 9 
F X M D F 



540 


7 


.013 


.999 


.025 


1 


.199 


.994 




6 


.095 


.990 


.028 


1 


.223 


.992 




5 


.314 


.953 


.030 


1 


.25R 


.991 




4 


.641 


.857 


.032 


1 


.254 


.990 




3 


.905 


.683 


.034 


2 


.029 


.999 




2 


.993 


.463 




1 


.2b9 


.988 


560 


7 


.017 


.999 


.036 


2 


.053 


.999 




6 


.115 


.988 




1 


.285 


.987 




5 


.356 


.945 


.038 


2 


.056 


.999 




4 


.686 


.839 




1 


.300 


.985 




3 


.925 


.662 


.040 


2 


.040 


.999 




2 


.995 


.446 




1 


.315 


.983 


580 


7 


.022 


.998 


.042 


2 


.044 


.999 




6 


.137 


.985 




1 


.351 


.981 




5 


.400 


.935 


.044 


2 


.04q 


.999 




4 


.728 


.821 




1 


.346 


.979 




3 


.941 


.641 


.046 


2 


.05? 


.999 




2 


.997 


.431 




1 


.361 


.977 


600 


7 


.028 


.998 


.048 


2 


.056 


.998 




6 


.163 


.981 




1 


.376 


.974 




5 


.445 


.924 


.050 


2 


.061 


.998 



,240 5 .011 .999 

4 .065 .995 

3 .248 .971 
2 .630 .863 
1 .973 .515 

,250 5 .013 .999 

4 .074 .994 



.400 



4 .274 ,963 4 .767 .802 1 .391 .972 

3 .611 .865 3 .955 .621 .052 2 .065 .998 
2 .918 .644 2 .998 .417 1 .405 .969 
1 .999 .329 .650 7 .049 .995 .054 2 .070 .998 
6 .019 .999 6 .240 .969 1 .420 .967 

5 ,100 .990 5 .563 .893 .056 2 .075 .997 

4 .316 .954 4 .852 .755 1 .455 .964 



3 .272 .967 

2 .660 .849 

1 .978 .496 
.260 5 .016 .999 

4 .085 .993 

3 .296 .962 

2 .689 .833 



3 .660 ^844 3 .978 .576 .058 2 .080 .997 

2 .937 .616 2 .999 .385 1 .449 .961 
1 .999 .312 .700 7 .0o2 .992 .060 2 .085 .997 

.420 6 .025 .998 6 .338 .952 1 .463 .957 

5 .122 .987 5 .681 .856 .062 2 .090 .997 

4 .360 .943 4 ,915 ,708 1 ,477 ,954 

3 ,706 ,821 3 .991 .535 .064 2 .095 .996 



.270 



.280 



,290 



1 


.982 


.478 




2 


.953 


.589 


.750 


7 


.133 


.986 




1 


.491 


.950 


5 


.019 


.999 


.440 


6 


.032 


.997 




6 


.457 


.929 


.066 


2 


.101 


.996 


4 


.096 


.992 




5 


.147 


.983 




5 


.789 


.816 




1 


.505 


.947 


3 


.321 


.956 




4 


.406 


.932 




4 


.957 


.665 


.068 


2 


.106 


.995 


2 


.716 


.818 




3 


.749 


.798 




3 


.997 


.500 




1 


.519 


.943 


1 


.986 


.461 




2 


.965 


.564 


.800 


7 


.210 


.977 


.070 


2 


.11? 


.995 


5 


.022 


.999 


.460 


6 


.041 


.996 




6 


.591 


.901 




1 


,55? 


.939 


4 


,108 


.990 




5 


.175 


.979 




5 


.878 


.774 


.075 


3 


,018 


.999 


3 


.347 


.950 




4 


.453 


.919 




4 


.982 


.624 




2 


,127 


,994 


2 


.742 


.802 




3 


.788 


.775 




3 


.999 


.469 




1 


,565 


.928 


1 


.989 


.445 




2 


.974 


.541 


.850 


7 


.321 


.963 


.080 


3 


,02? 


.999 


5 


.026 


.998 


.480 


6 


.051 


.995 




6 


.731 


.867 




2 


.14? 


.993 


4 


.121 


.989 




5 


.205 


.974 




5 


.943 


.733 




1 


.597 


.917 


3 


.373 


.944 




4 


.501 


.905 




4 


.994 


.588 


.085 


3 


.026 


,999 



2 .767 ,785 

1 .991 .430 
.300 5 .030 .998 

4 .135 .987 

3 .399 .937 

2 .789 .769 
1 .993 .416 



.310 5 .034 .998 

4 .149 .985 

3 .426 .929 
2 .811 .753 
1 .994 .403 

.320 5 .039 .997 

4 .165 .982 



.500 



.520 



3 


.823 


.752 


.900 


7 


.478 


.942 


2 


.981 


.519 




6 


.861 


.829 


7 


.008 


.999 




5 


.982 


.694 


6 


.064 


.994 




4 


.999 


.556 


5 


.239 


.968 


.950 


7 


.698 


.913 


4 


.548 


.890 




6 


.960 


.789 


3 


.854 


.728 




5 


.998 


.658 


2 


.986 


.499 


POPULATION 


9 


7 


.010 


.999 










6 


.078 


.992 


.008 




.064 


.999 


5 


.275 


.961 


.014 




.1 12 


.998 


4 


.595 


.874 


.017 




.136 


.997 


3 


.881 


.706 


.020 




.1 59 


,996 


2 


.990 


.480 


.022 




.175 


.995 



.090 



.095 



,100 



.105 



2 .158 .991 

1 ,627 ,904 

3 ,050 ,999 

2 ,175 ,989 

1 ,657 ,891 

3 ,055 ,999 

2 ,19? .988 



1 .684 .877 
3 .040 .998 

2 .210 .985 

1 .711 .862 

3 .046 .998 

2 .228 ,983 
1 .756 .846 



FINITE QUEUING TABLES 
X M D F X 



Population 9 - 9 

F X n D F 



1 10 



1 15 



120 



.125 



.130 



.135 



140 



145 



150 



155 



160 



165 



170 



180 



190 



,200 



.210 



3 .052 .99J 



.210 



2 .636 .872 



.330 



4 .278 .965 



.540 



6 .213 .974 



2 


.246 


.981 




1 


.977 


.524 




3 


.609 


.875 




5 


.49? 


.915 


1 


.759 


.830 


.220 


5 


.016 


.999 




2 


.919 


.658 




4 


.792 


.793 


3 


.058 


.997 




4 


.082 


.994 




1 


.999 


.337 




3 


.96? 


.614 


2 


.265 


.978 




3 


.281 


.968 


.340 


6 


.022 


.999 




2 


.993 


.41 1 


1 


.781 


.814 




2 


.670 


.855 




5 


.100 


.991 


.560 


8 


.010 


.999 


3 


.065 


.997 




1 


.982 


.501 




4 


.302 


.960 




7 


.07? 


.993 


2 


.284 


.975 


.230 


5 


.020 


.999 




3 


.637 


.863 




6 


.249 


.968 


1 


.802 


.797 




4 


.094 


.993 




2 


.930 


.641 




5 


.54? 


.901 


3 


.072 


.996 




3 


.310 


.963 




1 


.999 


.327 




4 


.£,23 


.772 


2 


.304 


.97 1 




2 


.703 


.838 


.360 


6 


.030 


.998 




3 


.97? 


.593 


1 


.821 


.780 




1 


.986 


.481 




5 


.125 


.988 




2 


.999 


.397 


4 


.013 


.999 


.240 


5 


.024 


.999 




4 


.351 


.950 


.580 


8 


.01 3 


.999 


3 


.080 


.996 




4 


.108 


.991 




3 


.690 


.838 




7 


.C8Q 


.992 


2 


.323 


.968 




3 


.339 


.956 




2 


.949 


.609 




6 


.289 


.962 


1 


.839 


.763 




2 


.733 


.820 


.■^80 


6 


.040 


.997 




5 


.59? 


.886 


4 


.015 


.999 




1 


.989 


.461 




5 


.154 


.984 




4 


.S6n 


.750 


3 


.088 


.995 


.250 


5 


.028 


.99b 




4 


.402 


.937 




3 


.980 


.573 


2 


.343 


.964 




4 


.123 


.990 




3 


.740 


.813 




2 


.999 


.383 


1 


.855 


.746 




3 


.368 


.950 




2 


.964 


.5b0 


.600 


8 


.017 


.999 


4 


.017 


.999 




2 


.762 


.802 


.400 


7 


.009 


.999 




7 


.lOQ 


.989 


3 


.096 


.994 




1 


.992 


.443 




6 


.051 


.996 




6 


.35? 


.954 


2 


.363 


.960 


.260 


5 


.033 


.998 




5 


.186 


.979 




5 


.64 1 


.870 


1 


.870 


.729 




4 


.139 


.988 




4 


.454 


.924 




4 


.883 


.730 


4 


.020 


.999 




3 


.398 


.942 




3 


.784 


.787 




3 


.985 


.555 


3 


.105 


.993 




2 


.789 


.784 




2 


.974 


.553 


.650 


8 


.0 5? 


.997 


2 


.383 


.955 




1 


.994 


.427 


.420 


7 


.012 


.999 




7 


.173 


.981 


1 


.884 


.712 


.270 


5 


.039 


.997 




6 


.066 


.994 




6 


.450 


.930 


4 


.022 


.999 




4 


.156 


.985 




5 


.221 


.973 




5 


.755 


.827 


3 


.114 


.992 




3 


.429 


.934 




4 


.507 


.908 




4 


.941 


.679 


2 


.404 


.950 




2 


.813 


.765 




3 


.824 


.760 




3 


.994 


.513 


1 


.896 


.695 




1 


.995 


.41 1 




2 


.982 


.527 


.700 


a 


.053 


.995 


4 


.025 


.999 


.280 


5 


.046 


.997 


.440 


7 


.01b 


.999 




7 


.261 


.968 


3 


.124 


.991 




4 


.174 


.983 




6 


.082 


.992 




6 


.57Q 


.899 


2 


.424 


.945 




3 


.459 


.926 




5 


.2o0 


.967 




5 


.850 


.781 


1 


.908 


.679 




2 


.336 


.747 




4 


.5d0 


.892 




4 


.97? 


.633 


4 


.028 


.999 




1 


.996 


.396 




3 


.858 


.734 




3 


.99^ 


.476 


3 


.134 


.990 


.290 


6 


.010 


.999 




2 


.987 


.504 


.750 


8 


. 100 


.991 


2 


.444 


.940 




5 


.053 


.996 


.460 


7 


.021 


.998 




7 


.376 


.950 


1 


.918 


.663 




4 


.193 


.980 




6 


.102 


.990 




6 


.703 


.863 


4 


.031 


.998 




3 


.490 


.917 




5 


.302 


.959 




5 


.919 


.736 


3 


.1 44 


.989 




2 


.856 


.726 




4 


.61 1 


.874 




4 


.989 


.592 


2 


.464 


.934 




1 


.997 


.383 




3 


.887 


.708 




3 


.999 


.444 


1 


.927 


.647 


.300 


6 


.012 


.999 




2 


.991 


.482 


.800 


8 


.163 


.983 


4 


.034 


.998 




5 


.061 


.995 


.480 


7 


.028 


.998 




7 


.Sl^, 


.926 


3 


.155 


.988 




4 


.213 


.977 




6 


.125 


.987 




6 


.823 


.823 


2 


.484 


.929 




3 


.520 


.907 




5 


.347 


.949 




5 


.964 


.693 


1 


.935 


.631 




2 


.874 


.710 




4 


.661 


.854 




4 


.99-7 


.555 


4 


.042 


.998 




1 


.998 


.370 




3 


.912 


.683 


.350 


8 


.27? 


.972 


3 


.178 


.985 


.310 


6 


.014 


.999 




2 


.994 


.463 




7 


.670 


.895 


2 


.523 


.916 




5 


.069 


.994 


.500 


7 


.036 


.997 




6 


.91 "? 


.781 


1 


.949 


.602 




4 


.234 


.973 




6 


.1 51 


.984 




5 


.983 


.653 


4 


.050 


.997 




3 


.550 


.897 




5 


.393 


.939 




4 


.99Q 


.523 


3 


.202 


.981 




2 


.891 


.692 




4 


.708 


.834 


.900 


8 


.450 


.954 


2 


.562 


.902 




1 


.998 


.358 




3 


.932 


.659 




7 


.824 


.858 


1 


.961 


.574 


.320 


6 


.016 


.999 




2 


.996 


.444 




6 


.971 


.740 


4 


.060 


.996 




5 


.079 


.993 


.520 


7 


.046 


.996 




5 


.993 


.617 


3 


.227 


.978 




4 


.256 


.969 




6 


.180 


.979 


.950 


8 


.663 


.927 


2 


.599 


.887 




3 


.580 


.886 




5 


.442 


.927 




7 


.943 


.818 


1 


.970 


.548 




2 


.906 


.675 




4 


.752 


.814 




6 


.996 


.702 


5 


.013 


.999 




1 


.999 


.347 




3 


.949 


.636 










4 


.070 


.995 


.330 


6 


.019 


.999 




2 


.997 


.427 










3- 


.254 


.973 




5 


.089 


.992 


.540 


7 


.057 


.995 











FINITE QUEUING TABLES 
X M D F X 



.008 




.072 


.999 


.090 


1 


.722 


.867 


.013 




.1 17 


.998 


.095 


3 


.049 


.998 


.016 




.144 


.997 




2 


.237 


.984 


.019 




.170 


.996 




1 


.750 


.850 


.021 




.188 


.995 


.100 


3 


.056 


.998 


.023 




.206 


.994 




2 


.258 


.981 


.025 




,Z2^ 


.993 




1 


.776 


.832 



.180 



190 



2 


.614 


.890 


1 


.975 


.549 


5 


.016 


.999 


4 


.078 


.995 


3 


.269 


.973 


2 


.654 


.873 


1 


.932 


.522 



,300 



.310 



)N 


10 - 


- 10 


1 





F 


5 


.106 


.991 


4 


.304 


.963 


3 


.635 


.872 


2 


.93? 


.653 


1 


.999 


.333 


6 


.051 


.998 


5 


.12'^ 


.990 



.026 



1 .232 .992 



.028 


1 .250 


.99 1 


.030 


1 .268 


.990 


.032 


2 .033 


.999 




1 .285 


.988 


.034 


2 .037 


.999 



1 .302 .986 



.036 2 .041 .999 

1 .320 .984 

,038 2 .046 .999 

1 .337 .982 

,040 ? .050 .999 



.042 



.044 



.046 



.048 



1 .35ii .980 

2 .055 .999 



1 


.371 


.978 


2 


.060 


.998 


1 


.388 


.975 


2 


.065 


.998 


1 


.404 


.973 


2 


.071 


.998 



1 .421 .970 



050 


2 


.076 


.998 




1 


.437 


.967 


052 


2 


.082 


.997 




1 


.454 


.963 


054 


2 


.088 


.997 




1 


.470 


.960 


056 


2 


.094 


.997 




1 


.486 


.956 


058 


2 


.100 


.996 




1 


.501 


.953 


060 


2 


.106 


.996 




1 


.517 


.949 


062 


2 


.1 13 


.996 




1 


.532 


.945 


06" 


2 


.119 


.995 




1 


.547 


.940 


066 


2 


.126 


.995 




1 


.562 


.936 


068 


3 


.020 


.999 




2 


.133 


.994 




1 


.577 


.931 


070 


3 


.022 


.999 




2 


.1 40 


.994 




1 


.591 


.926 


075 


3 


.026 


.999 




2 


.158 


.992 




1 


.627 


.913 


080 


3 


.031 


.999 




2 


.177 


.990 




1 


.660 


.899 


085 


3 


.037 


.999 




2 


.196 


.988 




1 


.692 


.883 


090 


3 


.043 


.998 




2 


.216 


.986 



.105 



.110 



.115 



.120 



.125 



.130 



.135 



.140 



.145 



.150 



.155 



160 



165 



,170 



.180 



3 .064 .997 

2 .279 .976 

1 .800 .814 

3 .072 .997 

2 .301 .974 
1 .822 .795 

3 .081 .996 



2 .324 .971 

1 .Sii3 .776 
4 .016 .999 

3 .090 .995 

2 .346 .967 
1 .861 .756 

4 .019 .999 



3 


.100 


.994 


2 


.369 


.962 


1 


.878 


.737 


4 


.022 


.999 


3 


.1 10 


.994 


2 


.392 


.956 



1 .393 .718 



4 


.025 


.999 


3 


.121 


.993 


2 


.415 


.952 


1 


.907 


.699 


4 


.028 


.999 


3 


.132 


.991 


2 


.437 


.947 


1 


.919 


.680 


4 


.032 


.999 


3 


.144 


.990 


2 


.460 


.941 


1 


.929 


.662 


4 


.036 


.996 


3 


.156 


.989 


2 


.433 


.935 


1 


.939 


.644 


4 


.040 


.998 


3 


.169 


.987 


2 


.505 


.926 


1 


.947 


.627 


4 


.044 


.996 


3 


.152 


.986 


2 


.528 


.921 


1 


.954 


.610 


u 


.049 


.997 


3 


.195 


.984 


2 


.550 


.914 


1 


.961 


.594 


4 


.054 


.997 


3 


.209 


.982 


2 


.571 


.906 


1 


.966 


.579 


5 


.013 


.999 


4 


.066 


.996 


3 


.238 


.976 



.200 



.210 



5 .020 .999 



.351 .957 



,220 



,230 



.240 



.250 



.260 



.270 



.?ec 



.290 



.300 



4 


.092 


.994 


3 


.300 


.968 


2 


.692 


.854 


1 


.987 


.497 


5 


.025 


.999 


4 


.106 


.992 


3 


.333 


.961 


2 


.728 


.835 


1 


.990 


.474 


5 


.030 


.998 


4 


.124 


.990 


3 


.366 


.954 


2 


.761 


.815 


1 


.993 


.453 


5 


.037 


.998 


4 


.142 


.988 


3 


.400 


.947 


2 


.791 


.794 


1 


.995 


.434 


5 


.044 


.997 


4 


.162 


.986 


3 


.434 


.936 


2 


.819 


.774 


1 


.996 


.416 


6 


.010 


.999 


5 


.052 


.997 


4 


.183 


.983 


3 


.469 


.929 


2 


.344 


.753 


1 


.997 


.400 


6 


.013 


.999 


5 


.OoO 


.996 


4 


.205 


.980 


3 


.503 


.919 


2 


.666 


.732 


1 


.998 


.384 


6 


.015 


.999 


5 


.070 


.995 


4 


.228 


.976 


3 


.537 


.908 


2 


.866 


.712 


1 


.999 


.370 


6 


.018 


.999 


5 


.061 


.994 


4 


.252 


.972 


3 


.571 


.896 


2 


.903 


.692 


1 


.999 


.357 


6 


.022 


.999 


5 


.093 


.993 


4 


.278 


.966 


3 


.603 


.884 


2 


.918 


.672 


1 


.999 


.345 


6 


.026 


.998 



.320 



.330 



.340 



.360 



.380 



.400 



.420 



.440 



.a60 



3 


.666 


.858 


2 


.9^1 


.635 


6 


.0 56 


.993 


5 


.1 55 


.988 


4 


.359 


.952 


3 


.695 


.845 


2 


.952 


.617 


6 


.04? 


.997 


5 


.151 


.986 


4 


.387 


.945 


3 


.72^ 


.831 


2 


.961 


.600 


7 


.01'^ 


.999 


6 


.049 


.997 


5 


.168 


.983 


4 


.416 


.938 


3 


.75^^ 


.816 


2 


.96=1 


.584 


7 


.Olu 


.999 


6 


.060 


.995 


5 


.205 


.978 


4 


.474 


.923 


3 


.793 


.787 


2 


.973 


.553 


7 


.019 


.999 


6 


.08"^ 


.993 


5 


.2"-' 


.971 


4 


.553 


.906 


3 


.8U0 


.758 


2 


.9-6 


.525 


7 


.026 


.998 


6 


.105 


.991 


5 


.29? 


.963 


4 


.591 


.887 


3 


.875 


.728 


2 


.991 


.499 


7 


.C5a 


.998 


6 


.1 5o 


.987 


5 


.3^^ 


.954 


4 


.646 


.866 


3 


.905 


.700 


2 


.99a 


.476 


7 


.0U5 


.997 


6 


.160 


.984 


5 


.39^ 


.943 


4 


.69S 


.845 


3 


.923 


.672 


2 


.996 


.454 


8 


.01 1 


.999 


7 


.053 


.995 


6 


.19"^ 


.979 


5 


.4U5 


.930 


4 


.7^7 


.622 


3 


.9U7 


.646 


2 


.99P 


.435 



FINITE QUEUING TABLES 



POPULATION 10 - 11 



.480 



,500 



8 


.015 


.999 


7 


.074 


.994 


6 


.230 


.973 


5 


.499 


.916 


4 


.791 


.799 


3 


.961 


.621 


2 


.998 


.417 


8 


.020 


.999 


7 


.093 


.992 


6 


.271 


.966 


5 


.553 


.901 


4 


.830 


.775 


3 


.972 


.598 



.750 



.800 



2 .999 .400 



.850 



.900 



5 


.975 


.666 


4 


.998 


.533 


9 


.134 


.986 


3 


.446 


.944 


7 


.763 


.859 


6 


.939 


.747 


5 


.991 


.625 


4 


.999 


.500 


9 


.232 


.979 


8 


.61 1 


.916 


7 


.879 


.818 


6 


.978 


.705 


5 


.998 


.586 



.060 



.062 



.064 



.^66 



.068 



2 


.129 


.995 


1 


.569 


.939 


3 


.0^:1 


.999 


2 


.137 


.994 


1 


.5o6 


.934 


3 


.023 


.999 


2 


.145 


.994 


1 


.602 


.929 


3 


.025 


.999 


2 


.153 


.993 


1 


.618 


.923 


3 


.028 


.999 


2 


.lol 


.993 



,140 



,145 



.150 



,155 



3 


.173 


.988 


2 


.51? 


.932 


1 


.95? 


.633 


4 


.C4q 


.998 


3 


.18^ 


.986 


2 


.5 57 


.9?5 



9 .387 .963 



1 .633 .917 



1 .960 .614 



4 .C5^ .997 

3 .203 .985 

2 .f61 .917 

1 .966 .596 

4 .059 .997 

3 .219 .982 

2 .585 .908 



,520 



.540 



.560 



,580 



,600 



,650 



.700 



.750 



8 


.026 


.998 




8 


.785 


.881 


.070 


3 


.030 


.999 




1 


.97? 


.578 


7 


.1 15 


.989 




7 


.957 


.777 




2 


.169 


.992 


.160 


5 


.01" 


.999 


6 


.316 


.958 




6 


.995 


.667 




1 


.648 


.91 1 




4 


.Co6 


.996 


5 


.606 


.884 


.950 


9 


.630 


.936 


.075 


3 


.036 


.999 




3 


.255 


.980 


4 


.864 


.752 




8 


.934 


.841 




2 


.191 


.990 




2 


.60Q 


.900 


3 


.980 


.575 




7 


.994 


.737 




1 


.685 


.895 




1 


.977 


.562 


2 


.999 


.385 










.080 


3 


.043 


.999 


.165 


5 


.01 5 


.999 


8 


.034 


.997 


POPULATION 


1 1 




2 


.213 


.988 




4 


.07-^ 


.996 


7 


.141 


.986 












1 


.719 


.878 




3 


.25? 


.978 


6 


.363 


.949 


.007 


1 


.070 


.999 


.085 


3 


.050 


.998 




2 


.65? 


.890 


5 


.658 


.867 


.012 


1 


.120 


.998 




2 


.236 


.985 




1 


.980 


.546 


4 


.893 


.729 


.015 


1 


.150 


.997 




1 


.751 


.860 


.170 


5 


.018 


.999 


3 


.986 


.555 


.018 


1 


.179 


.996 


.090 


3 


.058 


.998 




4 


.C80 


.995 


8 


.044 


.996 


.020 


1 


.199 


.995 




2 


.260 


.982 




3 


.269 


.975 


7 


.171 


.982 


.022 


1 


.219 


.994 




1 


.780 


.840 




2 


.654 


.881 


6 


.413 


.939 


.023 


1 


.229 


.993 


.095 


3 


.067 


.997 




1 


.984 


.531 


5 


.707 


.848 


.025 


1 


.248 


.992 




2 


.284 


.979 


.180 


5 


.02? 


.999 


4 


.917 


.706 


.026 


1 


.258 


.991 




1 


.807 


.820 




4 


.096 


.994 


3 


.991 


.535 


.023 


1 


.278 


.990 


.100 


3 


.076 


.997 




3 


.304 


.969 


8 


.057 


.995 


.030 


2 


.036 


.999 




2 


.308 


.976 




2 


.697 


.861 


7 


.204 


.977 




1 


.297 


.98o 




1 


.832 


.799 




1 


.989 


.503 


6 


.465 


.927 


.032 


2 


.04 1 


.999 


.105 


3 


.086 


.996 


.190 


5 


.028 


.999 


5 


.753 


.829 




1 


.316 


.986 




2 


.333 


.972 




4 


.113 


.992 


4 


.937 


.684 


.034 


2 


.046 


.999 




1 


.854 


.778 




3 


.341 


.963 


3 


.994 


.517 




1 


.335 


.964 


.110 


4 


.019 


.999 




2 


.757 


.840 


9 


.010 


.999 


.036 


2 


.051 


.999 




3 


.096 


.995 




1 


.99? 


.477 


8 


.072 


.994 




1 


.354 


.982 




2 


.359 


.967 


.200 


5 


.055 


.998 


7 


.242 


.972 


.038 


2 


.056 


.999 




1 


.874 


.756 




4 


.1 5^ 


.990 


6 


.518 


.915 




1 


.373 


.980 


.115 


4 


.022 


.999 




3 


.37P 


.955 


5 


.795 


.809 


.040 


2 


.062 


.999 




3 


.108 


.994 




2 


.773 


.818 


4 


.953 


.663 




1 


.392 


.977 




2 


.364 


.963 




1 


.995 


.454 


3 


.996 


.500 


.042 


2 


.068 


.99b 




1 


.892 


.735 


.210 


5 


.04? 


.998 


9 


.021 


.999 




1 


.41 1 


.974 


.120 


4 


.025 


.999 




4 


.154 


.988 


8 


.123 


.988 


.044 


2 


.074 


.996 




3 


.120 


.993 




3 


.416 


.947 


7 


.353 


.954 




1 


.429 


.971 




2 


.410 


.957 




2 


.806 


.795 


6 


.651 


.878 


.046 


2 


.080 


.996 




1 


.908 


.714 




1 


.996 


.432 


5 


.882 


.759 




1 


.447 


.968 


.125 


4 


.029 


.999 


.220 


5 


.051 


.997 


4 


.980 


.614 


.048 


2 


.086 


.997 




3 


.132 


.992 




4 


.176 


.985 


3 


.999 


.461 




1 


.465 


.964 




2 


.435 


.952 




3 


.455 


.937 


9 


.040 


.997 


.050 


2 


.093 


.997 




1 


.921 


.693 




2 


.856 


.772 


8 


.200 


.979 




1 


.433 


.961 


.130 


4 


.033 


.999 




1 


.998 


.413 


7 


.484 


.929 


.052 


2 


.100 


.997 




3 


.145 


.991 


.230 


6 


.01 3 


.999 


6 


.772 


.836 




1 


.501 


.957 




2 


.461 


.946 




5 


.061 


.996 


5 


.940 


.71 1 


.054 


2 


.107 


.996 




1 


.933 


.67? 




4 


.200 


.982 


4 


.992 


.571 




1 


.518 


.953 


.135 


4 


.038 


.998 




3 


.493 


.927 


9 


.075 


.994 


.056 


2 


.114 


.996 




3 


.159 


.990 




2 


.86? 


.749 


8 


.307 


.965 




1 


.536 


.948 




2 


.486 


.939 




1 


.998 


.395 


7 


.626 


.897 


.058 


2 


.122 


.995 




1 


.943 


.652 


.240 


6 


.017 


.999 


6 


.870 


.792 




1 


.553 


.944 


.140 


4 


.042 


.998 




5 


.07? 


.995 



10 



FINITE QUEUING TA8LES 
X M D F X 



,2U0 



,250 



a .226 .978 

3 .531 .916 
2 .885 .726 
1 .999 .379 
6 .020 .999 
5 .084 .994 

4 .253 .974 



,360 



.380 



5 .301 .964 

4 .596 .891 
3 .878 .735 
2 .992 .504 
7 .043 .997 

6 .144 .987 

5 .355 .953 



.S40 



,560 



POPULATION 11 - 12 
F X M D F 



4 


.9bl 


.669 


POPULATION 


12 


3 


.996 


.505 








9 


.027 


.998 


.007 


1 .077 


.999 


8 


.115 


.990 


.012 


1 .15? 


.998 


7 


.306 


.963 


.015 


1 .165 


.997 


6 


.580 


.900 


.017 


1 .186 


.996 



,332 .792 



.019 



1 .200 .995 



.260 



,270 



,280 



,290 



,300 



,310 



,320 



,330 



,340 



.360 



3 


.568 


.904 


4 


.656 


.868 




4 


.965 


.647 


.021 


1 


.250 


.994 


2 


.904 


.703 


3 


.910 


.703 




3 


.997 


.487 


.022 


1 


.24 1 


.993 


1 


.999 


.364 


2 


.995 


.478 


.580 


9 


.036 


.997 


.024 


1 


.26? 


.992 


6 


.025 


.999 


.400 8 


.013 


.999 




8 


.142 


.986 


.025 


1 


.273 


.991 


5 


.097 


.993 


7 


.057 


.996 




7 


.355 


.954 


.02c, 


1 


.284 


.990 


4 


.281 


.970 


6 


.179 


.982 




6 


.635 


.884 


.028 


2 


.053 


.999 


3 


.605 


.891 


5 


.412 


.941 




5 


.367 


.770 




1 


.305 


.988 


2 


.921 


.681 


4 


.712 


.844 




4 


.975 


.625 


.030 


2 


.04^ 


.999 


1 


.999 


.350 


3 


.934 


.673 




3 


.998 


.470 




1 


.326 


.986 


6 


.030 


.998 


2 


.997 


.454 


.'.OO 


9 


.047 


.996 


.032 


2 


.049 


.999 


5 


.112 


.991 


.420 8 


.018 


.999 




8 


.173 


.983 




1 


.347 


.984 


4 


.310 


.964 


7 


.074 


.994 




7 


.408 


.944 


.034 


2 


.055 


.999 


3 


.640 


.877 


6 


.218 


.977 




6 


.688 


.866 




1 


.363 


.982 


2 


.936 


.660 


5 


.470 


.927 




5 


.897 


.748 


.036 


2 


.061 


.999 


6 


.036 


.998 


4 


.764 


.819 




4 


.983 


.605 




1 


.389 


.979 


5 


.128 


.990 


3 


.953 


.644 




3 


.999 


.455 


.038 


2 


.063 


.998 


4 


.341 


.959 


2 


.998 


.433 


.650 


10 


.013 


.999 




1 


.409 


.976 


3 


.674 


.862 


.440 8 


.024 


.998 




9 


.087 


.993 


.040 


2 


.074 


.998 


2 


.948 


.639 


7 


.095 


.991 




8 


.272 


.969 




1 


.450 


.973 


6 


.042 


.997 


6 


.261 


.970 




7 


.547 


.914 


.042 


2 


.081 


.998 


5 


.145 


.987 


5 


.528 


.912 




6 


.805 


.820 




1 


.450 


.970 


4 


.372 


.952 


4 


.809 


.794 




5 


.950 


.696 


.044 


2 


.083 


.998 


3 


.706 


.847 


3 


.967 


.616 




4 


.994 


.559 




1 


.470 


.966 


2 


.958 


.620 


2 


.999 


.413 


.700 


10 


.028 


.998 


.046 


2 


.096 


.997 


7 


.01 1 


.999 


.460 8 


.032 


.998 




9 


.152 


.986 




1 


.490 


.963 


6 


.050 


.997 


7 


.120 


.989 




a 


.399 


.949 


.048 


2 


.103 


.997 


5 


.164 


.985 


6 


.308 


.962 




7 


.6b7 


.877 




1 


.509 


.959 


4 


.403 


.945 


5 


.586 


.894 




6 


.894 


.772 


.050 


2 


.111 


.996 


3 


.737 


.832 


4 


.849 


.768 




5 


.960 


.648 




1 


.523 


.954 


2 


.966 


.601 


3 


.977 


.591 




4 


.998 


.519 


.052 


2 


.119 


.996 


7 


.01 3 


.999 


2 


.999 


.395 


.750 


10 


.056 


.996 




1 


.547 


.950 


6 


.058 


.996 


.480 8 


.043 


.997 




9 


.249 


.975 


.054 


2 


. 123 


.995 


5 


.184 


.982 


7 


.149 


.966 




8 


.547 


.922 




1 


.566 


.945 


4 


.435 


.937 


6 


.359 


.952 




7 


.812 


.835 


.056 


2 


.1 56 


.995 


3 


.766 


.816 


5 


.643 


.876 




6 


.952 


.725 




1 


.584 


.939 


2 


.973 


.582 


4 


.883 


.742 




5 


.993 


.606 


.058 


3 


.024 


.999 


7 


.016 


.999 


3 


.985 


.567 


.800 


10 


.107 


.991 




2 


.145 


.994 


6 


.067 


.995 


.500 9 


.01 1 


.999 




9 


.383 


.957 




1 


.60? 


.934 


5 


.205 


.979 


8 


.056 


.996 




8 


.701 


.888 


.060 


3 


.026 


.999 


4 


.468 


.929 


7 


.182 


.981 




7 


.906 


.791 




2 


.154 


.994 


3 


.792 


.800 


6 


.412 


.941 




6 


.982 


.681 




1 


.620 


.928 


2 


.978 


.565 


5 


.696 


.856 




5 


.998 


.568 


.06^ 


3 


.023 


.999 


7 


.019 


.999 


4 


.91 1 


.717 


.850 


10 


.197 


.984 




2 


.163 


.993 


6 


.077 


.994 


3 


.990 


.545 




9 


.554 


.932 




1 


.6 57 


.922 


5 


.228 


.976 


.520 9 


.015 


.999 




8 


.840 


.848 


.064 


3 


.051 


.999 


4 


.500 


.920 


8 


.072 


.994 




7 


.965 


.748 




2 


.17? 


.992 


3 


.817 


.784 


7 


.219 


.976 




6 


.996 


.642 




1 


.654 


.916 


2 


.983 


.549 


6 


.467 


.929 


.900 


10 


.349 


.970 


.066 


3 


.054 


.999 


7 


.023 


.999 


5 


.746 


.835 




9 


.746 


.899 




2 


.18? 


.992 


6 


.089 


.993 


4 


.933 


.693 




8 


.941 


.807 




1 


.670 


.909 


5 


.251 


.972 


3 


.993 


.524 




7 


.992 


.707 


.068 


3 


.05^ 


.999 


4 


.532 


.91 1 


.540 9 


.020 


.999 




6 


.999 


.606 




2 


.191 


.991 


3 


.839 


.767 


8 


.092 


.992 


.950 


10 


.599 


.946 




1 


.686 


.902 


2 


.986 


.533 


7 


.261 


.970 




9 


.919 


.860 


.070 


3 


.059 


.999 


7 


.032 


.998 


6 


.523 


.915 




8 


.991 


.765 




2 


.201 


.990 


6 


.114 


.990 


5 


.791 


.813 




7 


.999 


.670 




1 


.70? 


.895 



n 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 12 - 12 
F X M D F 



.075 3 .047 .999 

2 .226 .988 

1 .739 .876 
.080 3 .056 .998 

2 .252 .985 
1 .773 .855 

,085 3 .065 .998 



2 .278 .982 

1 .804 .834 
,090 3 .075 .997 

2 .305 .978 
1 .832 .81 1 

,095 3 .086 .996 



.155 



I 160 



.333 .974 



il65 



.170 



3 .274 .976 
2 .661 .885 



.260 



4 .365 .957 
3 .699 .858 



.380 



4 .762 .826 
3 .954 .652 



1 


.986 


.534 




2 


.957 


.633 




2 


.99B 


.438 


5 


.022 


.999 


.270 


7 


.012 


.999 


.400 


8 


.050 


.998 


4 


.092 


.995 




6 


.052 


.997 




7 


.105 


.9^1 


3 


.294 


.973 




5 


.1d4 


.986 




6 


.27 1 


.970 


2 


.685 


.875 




4 


.399 


.949 




5 


.554 


.914 


1 


.989 


.518 




3 


.733 


.842 




4 


.81' 


.798 


5 


.025 


.999 




2 


.967 


.61 1 




3 


.969 


.621 


4 


.101 


.994 


.280 


7 


.015 


.999 




2 


.999 


.417 


3 


.313 


.970 




6 


.061 


.996 


.420 


8 


.04 1 


.997 


2 


.708 


.864 




5 


.186 


.983 




7 


.1 54 


.988 


1 


.991 


.503 




4 


.435 


.941 




6 


.323 


.961 



5 .028 .999 



3 .765 .825 



5 .597 .895 



100 



.105 



110 



115 



,120 



125 



.130 



135 



140 



145 



150 



155 



1 


.857 


.788 


4 


.019 


.999 


3 


.098 


.996 


2 


.361 


.970 


1 


.879 


.764 


4 


.023 


.999 


3 


.111 


.995 


2 


.389 


.965 


1 


.899 


.740 


4 


.027 


.999 


3 


.124 


.994 


2 


.417 


.959 


1 


.915 


.717 


4 


.031 


.999 


3 


.138 


.992 


2 


.446 


.953 


1 


.930 


.693 


4 


.036 


.999 


3 


.153 


.991 


2 


.474 


.946 


1 


.942 


.671 


4 


.041 


.998 


3 


.168 


.990 


2 


.502 


.939 


1 


.952 


.649 


4 


.047 


.998 


3 


.185 


.988 


2 


.530 


.932 


1 


.961 


.627 


4 


.053 


.998 


3 


.201 


.986 


2 


.557 


.923 


1 


.968 


.607 


4 


.060 


.997 


3 


.219 


.984 


2 


.584 


.91 5 


1 


.974 


.587 


5 


.014 


.999 


4 


.067 


.997 


3 


.237 


.982 


2 


.61 1 


.905 



1 .979 .569 



5 


.017 


.999 


4 


.075 


.996 


3 


.255 


.979 


2 


.636 


.896 


1 


.983 


.551 


5 


.019 


.999 


4 


.083 


.995 



.180 



190 



.200 



.210 



,220 



.230 



.240 



.250 



.260 



4.111 .993 

3 .334 .967 

2 .730 .852 
1 .993 .489 
5 .035 .998 

4 .132 .991 

3 .375 .959 



2 .771 .826 
1 .995 .462 



,?90 



,300 



2 .974 .591 
7 .018 .999 
6 .072 .995 
5 .210 .980 
4 .470 .933 

3 .794 .807 
2 .980 .572 



7 .022 .999 
6 .084 .994 



5 


.044 


.998 


5 


.235 


.977 


4 


.155 


.989 


4 


.506 


.923 


3 


.417 


.950 


3 


.821 


.789 


2 


.808 


.804 


2 


.985 


.553 


1 


.997 


.438 


.310 7 


.027 


.998 


5 


.054 


.997 


6 


.097 


.993 


4 


.180 


.986 


5 


.261 


.973 


3 


.459 


.940 


4 


.541 


.913 


2 


.841 


.778 


3 


.846 


.771 


1 


.998 


.416 


2 


.988 


.536 


6 


.015 


.999 


.320 7 


.032 


.993 


5 


.065 


.996 


6 


.111 


.991 


4 


.207 


.982 


5 


.288 


.968 


3 


.501 


.929 


4 


.576 


.902 


2 


.870 


.753 


3 


.868 


.753 


1 


.999 


.397 


2 


.991 


.520 


6 


.019 


.999 


.330 7 


.038 


.998 


5 


.078 


.995 


6 


.126 


.990 


4 


.236 


.979 


5 


.317 


.963 


3 


.543 


.917 


4 


.610 


.891 


2 


.894 


.728 


3 


.887 


.736 


1 


.999 


.379 


2 


.993 


.504 


6 


.024 


.999 


.340 8 


.010 


.999 


5 


.092 


.994 


7 


.045 


.997 


4 


.266 


.974 


6 


.143 


.988 


3 


.584 


.904 


5 


.346 


.958 


2 


.914 


.703 


4 


.643 


.879 


1 


.999 


.362 


3 


.904 


.718 


6 


.030 


.998 


2 


.995 


.490 


5 


.108 


.992 


.360 8 


.015 


.999 


4 


.298 


.969 


7 


.061 


.996 


3 


.624 


.890 


6 


.181 


.983 


2 


.932 


.679 


5 


.407 


.945 


6 


.036 


.996 


4 


.705 


.853 


5 


.125 


.991 


3 


.933 


.684 


4 


.331 


.963 


2 


.997 


.463 


3 


.662 


.874 


.380 8 


.022 


.999 


2 


.946 


.655 


7 


.081 


.994 


6 


.043 


.997 


6 


.224 


.977 


5 


.144 


.989 


5 


.470 


.930 



.440 



.460 



.480 



.500 



.520 



.540 



4 .854 .770 

3 .97Q .593 

2 .999 .397 

9 .013 .999 

8 .055 .996 

7 .160 .984 

6 .378 .950 



5 .657 .875 
4 .890 .742 



.560 



3 


.987 


.567 


9 


.018 


.999 


8 


.072 


.994 


7 


.206 


.979 


6 


.457 


.938 


5 


.713 


.853 


4 


.918 


.715 


3 


.991 


.543 


9 


.025 


.998 


8 


.093 


.992 


7 


.249 


.973 


6 


.496 


.924 


5 


.765 


.830 


4 


.94 1 


.688 


3 


.995 


.520 


9 


.053 


.998 


8 


.119 


.990 


7 


.296 


.965 


6 


.556 


.909 


5 


.81 1 


.806 


4 


.958 


.663 


3 


.997 


.500 


9 


.045 


.997 


8 


.148 


.986 


7 


.348 


.957 


6 


.61 5 


.892 


5 


.851 


.783 


4 


.971 


.639 


3 


.99n 


.481 


10 


.01? 


.999 


9 


.059 


.996 


8 


.182 


.982 


7 


.402 


.946 


6 


.671 


.874 


5 


.885 


.759 


4 


.980 


.616 


3 


.999 


.463 


10 


.017 


.999 


9 


.076 


.994 


8 


.221 


.977 



12 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 12 - 13 
F X M D F 



560 


7 


.460 


.935 


POPULA 


TION 


13 




6 


.725 


.854 












5 


.913 


.736 


.007 


1 


.084 


.999 




4 


.987 


.594 


.01 1 


1 


.132 


.998 




3 


.999 


.446 


.014 


1 


.168 


.997 


530 


10 


.023 


.999 


.016 


1 


.191 


.996 




9 


.097 


.992 


.018 


1 


.215 


.995 




8 


.265 


.97 1 


.020 


1 


.239 


.994 




7 


.518 


.922 


.021 


1 


.250 


.993 




6 


.774 


.834 


.023 


1 


.274 


.992 




5 


.936 


.713 


.024 


1 


.286 


.991 




U 


.991 


.574 


.025 


2 


.037 


.999 


600 


10 


.031 


.998 




1 


.297 


.990 




9 


.123 


.989 


.026 


2 


.039 


.999 




8 


.314 


.964 




1 


.309 


.989 




7 


.577 


.907 


.028 


2 


.045 


.999 




6 


.818 


.814 




1 


.332 


.987 




5 


.954 


.691 


.030 


2 


.051 


.999 




4 


.994 


.555 




1 


.355 


.985 


650 


1 1 


.009 


.999 


.032 


2 


.058 


.999 




10 


.061 


.995 




1 


.378 


.982 




9 


.207 


.980 


.034 


2 


.065 


.999 




8 


.451 


.940 




1 


.401 


.979 




7 


.718 


.866 


.036 


2 


.072 


.998 




6 


.904 


.762 




1 


.423 


.976 




5 


.982 


.640 


.038 


2 


.030 


.998 




4 


.998 


.513 




1 


.445 


.973 


700 


1 1 


.020 


.999 


.040 


2 


.087 


.99fa 



2 .223 .969 



1 


.736 


.885 


3 


.050 


.999 


2 


.234 


.988 


1 


.752 


.877 


3 


.ObO 


.998 


2 


.263 


.985 



.068 



.070 



.075 



1 .768 .854 
.080 3 .071 .998 

2 .292 .981 

1 .821 .830 
.085 3 .082 .997 

2 .322 .977 
1 .350 .805 



.090 U .019 .999 

3 .095 .996 

2 .352 .973 

1 .876 .760 
.095 4 .023 .999 

3 .109 .995 

2 .383 .968 



1 .398 .753 
.100 4 .027 .999 

3 .123 .994 

2 .414 .962 
1 .917 .727 

.105 4 .032 .999 

3 .139 .993 



.145 



.150 



2 .681 .884 



1 


.990 


.528 


5 


.025 


.999 


4 


.101 


.994 


3 


.31 1 


.973 


2 


.70*- 


.872 


1 


.995 


.51 1 



.155 5 .029 .999 

4 .11? .994 

3 .353 .969 
2 .7 51 .860 
1 .994 .495 

.160 5 .03^ .999 

4 .12^ .993 



3 .355 .965 

2 .754 .847 

1 .995 .480 
,165 5 .057 ,998 

4 .1 55 .992 

3 .378 .961 

2 .776 .834 



1 .996 .466 
,170 5 .04? ,998 

4 .14R ,990 

3 .401 .957 

2 .797 .821 
1 .997 .452 

,180 5 .05? .997 



10 .115 .991 

9 .325 .964 .042 

8 .602 .908 

7 .835 .821 .044 

6 .957 .712 

5 .994 .595 .045 

.750 1 1 .042 .997 



10 .200 .982 .048 

9 .472 .941 

8 .747 .869 .050 

7 .920 .773 

6 .985 .666 .052 

5 .998 .556 

.800 11 .086 .994 .054 



10 .328 .967 

9 .638 .910 

8 .867 .826 .056 

7 .969 .728 

6 .996 .625 

.850 11 .167 .987 .058 

10 .501 .945 



9 .798 .873 

8 .948 .783 .060 
7 .992 .686 

6 .999 .588 

.900 11 .314 .975 .062 

10 .707 .914 

9 .922 .831 



8 .987 .741 .064 

7 .999 .648 
.950 1 1 .569 .953 

10 .904 .876 .066 

9 .988 .789 

8 .999 .702 

.068 



1 .467 ,969 

2 .096 .997 

1 .489 .966 .110 

2 .104 .997 

1 .510 .961 

2 .113 .997 

1 .531 .957 .115 



2 .122 .996 

1 .552 .952 

2 .131 .996 

1 .573 .947 .120 

2 .140 .995 
1 .593 .941 

3 .025 .999 



2 .150 .995 .125 

1 .612 .936 

3 .028 .999 

2 .160 .994 

1 .631 .929 .130 

3 .031 .999 

2 .170 .993 



1 .650 .923 

3 .033 .999 .135 

2 .180 .992 

1 .668 .916 

3 .036 .999 

2 .190 .992 

1 .686 .909 .140 



3 .040 .999 

2 .201 .991 

1 .703 .901 

3 .043 .999 

2 .212 .990 .145 
1 .720 .893 

3 .046 .999 



2 


.446 


.956 


1 


.933 


.702 


4 


.037 


.999 


3 


.155 


.992 


2 


.477 


.949 


1 


.946 


.677 


4 


.043 


.998 


3 


.172 


.990 


2 


.508 


.942 


1 


.957 


.652 


4 


.050 


.998 


3 


.190 


.988 


2 


.538 


.934 


1 


.966 


.629 


4 


.057 


.998 


3 


.208 


.986 


2 


.563 


.925 


1 


.973 


.607 


4 


.065 


.997 


3 


.228 


.984 


2 


.597 


.916 


1 


.979 


.585 


5 


.016 


.999 


4 


.073 


.997 


3 


.248 


.982 


2 


.626 


.906 


1 


.983 


.565 


5 


.019 


.999 


4 


.082 


.996 


3 


.268 


.979 


2 


.654 


.895 


1 


.987 


.546 


5 


.022 


.999 


4 


.091 


.995 


3 


.289 


.976 



4 .175 .988 

3 .447 .947 
2 .655 .793 
1 .998 .427 

,190 6 .016 .999 

5 .065 .997 

4 .204 .984 



3 .494 .935 

2 .66'7 .766 
1 .999 .405 

.200 6 .020 .999 

5 .079 .995 

4 .255 .980 

3 .540 .923 



2 .894 .738 

1 .999 .385 
,210 6 .026 .999 

5 .094 .994 

4 .268 .976 

3 .585 .909 

2 .917 .710 



.220 6 .05? .998 

5 .11? .993 

4 .30? .970 

3 .629 .894 

2 .956 .684 

.230 6 .040 .998 

5.151 .991 



4 .359 .964 

3 .670 .877 
2 .950 .658 

.240 7 .01? .999 

6 .040 ,997 

5 .15? .988 

4 .376 .957 



13 



FINITE QUEUING TABLES 



POPULATION 1 3 - 14 
F X M D F 



,240 



,250 



.260 



.270 



.280 



.290 



,300 



,310 



.320 



,330 



,340 



3 


.710 


.860 


.340 


4 


.741 


.843 


.=^20 


9 


.098 


.992 


.900 


10 


.90? 


.852 


2 


.962 


.634 




3 


.947 


.671 




8 


.251 


.974 




9 


.9a? 


.769 


7 


.015 


.999 




2 


.998 


.452 




7 


.487 


.930 




8 


.998 


.684 


6 


.058 


.997 


.360 


8 


.032 


.996 




6 


.742 


.850 


.950 


12 


.540 


.959 


5 


.175 


.986 




7 


.104 


.992 




5 


.920 


.732 




1 1 


.887 


.889 


4 


.414 


.949 




6 


.261 


.973 




4 


.988 


.591 




10 


.984 


.810 


3 


.747 


.842 




5 


.516 


.922 




3 


.999 


.444 




9 


.999 


.729 


2 


.971 


.610 




4 


.798 


.813 


.540 


10 


.037 


.998 


POPULATION 


14 


7 


.018 


.999 




3 


.966 


.637 




9 


.125 


.989 










6 


.069 


.996 




2 


.999 


.427 




8 


.301 


.966 


.006 


1 


.078 


.999 


5 


.200 


.983 


.380 


9 


.01 1 


.999 




7 


.549 


.916 


.01 1 


1 


.143 


.998 


4 


.452 


.940 




3 


.044 


.997 




6 


.792 


.828 


.013 


1 


.169 


.997 


3 


.780 


.823 




7 


.135 


.989 




5 


.943 


.707 


.015 


1 


.194 


.996 


2 


.979 


.588 




6 


.317 


.964 




4 


.993 


.569 


.017 


1 


.220 


.995 


7 


.023 


.999 




5 


.584 


.903 


.560 


1 1 


.010 


.999 


.019 


1 


.246 


.994 


6 


.082 


.995 




4 


.846 


.782 




10 


.050 


.997 


.020 


1 


.25« 


.993 


5 


.227 


.979 




3 


.978 


.605 




9 


.157 


.986 


.022 


1 


.284 


.992 


4 


.491 


.931 


.400 


9 


.016 


.999 




8 


.355 


.958 


.023 


1 


.297 


.991 


3 


.81 1 


.804 




8 


.060 


.996 




7 


.610 


.900 


.024 


2 


.040 


.999 


2 


.984 


.567 




7 


.171 


.985 




6 


.836 


.806 




1 


.309 


.990 


7 


.028 


.999 




6 


.376 


.953 




5 


.960 


.684 


.025 


2 


.043 


.999 


6 


.096 


.993 




5 


.650 


.881 




4 


.995 


.549 




1 


.32? 


.989 


5 


.255 


.975 




4 


.886 


.752 


.580 


1 1 


.014 


.999 


.026 


2 


.C46 


.999 


4 


.530 


.920 




3 


.986 


.576 




10 


.066 


.995 




1 


.354 


.988 


3 


.839 


.784 


.420 


9 


.022 


.999 




9 


.194 


.982 


.028 


2 


.053 


.999 


2 


.988 


.548 




8 


.080 


.994 




8 


.412 


.948 




1 


.359 


.985 


7 


.034 


.998 




7 


.213 


.979 




7 


.669 


.882 


.030 


2 


.060 


.999 


6 


.111 


.992 




6 


.438 


.940 




6 


.874 


.783 




1 


.384 


.983 


5 


.284 


.971 




5 


.711 


.858 




5 


.972 


.661 


.032 


2 


.06R 


.999 


4 


.568 


.909 




4 


.917 


.722 




4 


.997 


.530 




1 


.409 


.980 


3 


.864 


.765 




3 


.992 


.549 


.600 


1 1 


.020 


.999 


.034 


2 


.076 


.998 


2 


.991 


.529 


.440 


9 


.031 


.998 




10 


.066 


.993 




1 


.453 


.977 


7 


.041 


.998 




8 


. 104 


.992 




9 


.237 


.976 


.036 


2 


.084 


.998 


6 


.128 


.990 




7 


.260 


.972 




8 


.472 


.936 




1 


.457 


.973 


5 


.315 


.966 




6 


.502 


.926 




7 


.725 


.864 


.038 


2 


.09"^ 


.998 


4 


.605 


.897 




5 


.766 


.833 




6 


.905 


.761 




1 


.481 


.969 


3 


.886 


.745 




4 


.941 


.693 




5 


.982 


.640 


.040 


2 


.10? 


.997 


2 


.994 


.512 




3 


.995 


.524 




4 


.998 


.513 




1 


.504 


.965 


8 


.012 


.999 


.460 


10 


.010 


.999 


.650 


1 1 


.043 


.997 


.042 


2 


.111 


.997 


7 


.048 


.997 




9 


.043 


.997 




10 


.156 


.986 




1 


.527 


.961 


6 


.147 


.988 




8 


.133 


.989 




9 


.366 


.958 


.044 


2 


.121 


.997 


5 


.347 


.960 




7 


.31 1 


.964 




8 


.626 


.901 




1 


.550 


.956 


4 


.641 


.884 




6 


.566 


.909 




7 


.843 


.815 


.046 


2 


.1 50 


.996 


3 


.905 


.726 




5 


.815 


.808 




6 


.959 


.708 




1 


.57? 


.950 


2 


.995 


.496 




4 


.960 


.665 




5 


.994 


.591 


.048 


2 


.141 


.995 


8 


.015 


.999 




3 


.997 


.501 


.700 


12 


.014 


.999 




1 


.594 


.945 


7 


.057 


.996 


.480 


10 


.014 


.999 




1 1 


.086 


.994 


.050 


3 


.026 


.999 


6 


.167 


.986 




9 


.058 


.996 




10 


.261 


.974 




2 


.151 


.995 


5 


.380 


.954 




a 


.168 


.985 




9 


.519 


.931 




1 


.61 5 


.939 


4 


.676 


.871 




7 


.3b7 


.955 




8 


.768 


.859 


.052 


3 


.020 


.999 


3 


.921 


.707 




6 


.628 


.891 




7 


.924 


.765 




2 


.16? 


.994 


2 


.997 


.480 




5 


.857 


.782 




6 


.985 


.659 




1 


.656 


.932 


8 


.018 


.999 




4 


.973 


.639 




5 


.998 


.549 


.054 


3 


.05? 


.999 


7 


.067 


.996 




3 


.998 


.481 


.750 


12 


.032 


.998 




2 


. 173 


.993 


6 


.188 


.983 


.500 


10 


.020 


.999 




1 1 


.161 


.987 




1 


.657 


.925 


5 


.413 


.947 




9 


.076 


.994 




10 


.404 


.955 


.056 


3 


.0 55 


.999 


4 


.710 


.857 




8 


.207 


.980 




9 


.680 


.896 




2 


.184 


.993 


3 


.935 


.689 




7 


.426 


.943 




8 


.379 


.813 




1 


.677 


.918 


2 


.997 


.466 




6 


.687 


.871 




7 


.970 


.717 


.058 


3 


.05« 


.999 


8 


.022 


.999 




5 


.892 


.757 




6 


.996 


.615 




2 


.19^ 


.992 


7 


.078 


.995 




4 


.982 


.614 


.«00 


12 


.069 


.995 




1 


.696 


.910 


6 


.21 1 


.980 




5 


.999 


.461 




1 1 


.279 


.975 


.060 


3 


.04? 


.999 


5 


.448 


.939 


.520 


10 


.027 


.99b 


.900 


1 1 


.668 


.927 




2 


.207 


.991 



14 



FINITE QUEUING TABLES 
X M D F X 



060 


1 


.714 


.902 


.130 


1 


.989 


.547 


062 


3 


.046 


.999 


.135 


5 


.024 


.999 




2 


.219 


.990 




4 


.096 


.995 




1 


.732 


.894 




3 


.297 


.976 


064 


3 


.050 


.999 




2 


.691 


.885 




2 


.231 


.989 




1 


.992 


.527 



,066 



.068 



.070 



,075 



,080 



,085 



,090 



.095 



.100 



105 



1 10 



115 



120 



125 



130 



1 .750 .885 



140 



5 .028 .999 



3 


.054 


.998 


2 


.244 


.988 


1 


.766 


.876 


3 


.058 


.998 


2 


.256 


.987 


1 


.782 


.866 


3 


.062 


.998 


2 


.269 


.985 


1 


.798 


.856 


3 


.074 


.998 


2 


.301 


.982 


1 


.833 


.830 


3 


.088 


.997 


2 


.333 


.977 



1 .863 .803 
4 .021 .999 



3 


.102 


.996 


2 


.367 


.973 


1 


.890 


.775 


4 


.026 


.999 


3 


.1 17 


.995 


2 


.401 


.967 


1 


.912 


.746 


4 


.031 


.999 


3 


.133 


.994 


2 


.435 


.961 


1 


.931 


.718 


4 


.036 


.999 


3 


.151 


.992 


2 


.469 


.954 


1 


.946 


.690 


4 


.043 


.999 


3 


.169 


.991 


2 


.502 


.947 



1 .958 .663 



4 .050 .998 

3 .189 .989 
2 .536 .938 
1 .967 .637 

4 .058 .998 



3 


.209 


.987 


2 


.569 


.929 


1 


.975 


.613 


4 


.066 


.997 


3 


.230 


.985 


2 


.601 


.919 


1 


.981 


.589 


5 


.017 


.999 


4 


.075 


.997 


3 


.252 


.982 


2 


.632 


.909 


1 


.986 


.567 


5 


.020 


.999 


4 


.085 


.996 


3 


.274 


.980 


2 


.662 


.897 



145 



.150 



il55 



.160 



il65 



.170 



.180 



il90 



>00 



.210 



4 


.107 


.994 


3 


.321 


.973 


2 


.719 


.873 


1 


.994 


.509 


5 


.032 


.999 


4 


.119 


.994 


3 


.345 


.969 


2 


.745 


.859 


1 


.995 


.492 


5 


.036 


.999 


4 


.132 


.992 


3 


.370 


.965 


2 


.770 


.846 



1 .997 .476 



5 .041 .998 
4 .145 .991 



3 


.395 


.961 


2 


.793 


.331 


1 


.997 


.460 


5 


.047 


.996 


4 


.159 


.990 


3 


.420 


.956 


2 


.815 


.817 


1 


.998 


.446 


5 


.053 


.99t 


4 


.174 


.988 


3 


.445 


.950 


2 


.835 


.802 


1 


.999 


.433 


6 


.015 


.999 


5 


.059 


.997 


4 


.189 


.987 


3 


.470 


.945 


2 


.354 


.787 



1 .999 .420 



6 


.019 


.999 


5 


.074 


.996 


4 


.222 


.983 


3 


.521 


.932 


2 


.836 


.757 


1 


.999 


.397 


6 


.025 


.999 


5 


.090 


.99£. 


4 


.257 


.976 


3 


.570 


.918 


2 


.913 


.727 


6 


.032 


.999 


5 


.109 


.993 


4 


.295 


.973 


3 


.619 


.902 


2 


.934 


.697 


6 


.040 


.998 


5 


.130 


.991 


4 


.333 


.967 


3 


.665 


.885 


2 


.951 


.669 



.220 



,^30 



,240 



.'50 



,260 



.270 



.260 



,290 



.■^00 



,31 



POPULATION 14 - 14 
F X M U F 



7 .013 .999 



,310 



2 .99R .461 



o 


.049 


.997 


.320 8 


.028 


.998 


5 


.153 


.969 


7 


.09' 


.994 


4 


.374 


.960 


6 


.234 


.978 


3 


.708 


.867 


5 


.476 


.935 


2 


.963 


.642 


4 


.765 


.837 


7 


.016 


.999 


3 


.95-7 


.663 


6 


.060 


.997 


2 


.999 


.446 


5 


.178 


.986 


.330 8 


.054 


.993 


4 


.415 


.952 


7 


.106 


.992 


3 


.748 


.848 


6 


.26 5 


.974 


2 


.973 


.616 


5 


.513 


.926 


7 


.020 


.999 


4 


.795 


.820 


6 


.073 


.990 


3 


.96^^ 


.645 


5 


.205 


.983 


2 


.99Q 


.433 


4 


.457 


.943 


.340 8 


.04 1 


.998 


3 


.785 


.828 


7 


.12"^ 


.991 


2 


.981 


.592 


6 


.291 


.970 


7 


.025 


.999 


5 


.550 


.916 


6 


.087 


.995 


4 


.82? 


.804 


5 


.234 


.980 


3 


.973 


.627 


4 


.499 


.932 


2 


.999 


.420 


3 


.813 


.807 


.360 9 


.016 


.999 


2 


.986 


.569 


8 


.057 


.996 


7 


.032 


.998 


7 


.160 


.987 


6 


.103 


.993 


6 


.353 


.959 


5 


.2o5 


.975 


5 


.62? 


.895 


4 


.541 


.921 


4 


.&7n 


.771 


3 


.848 


.786 


3 


.984 


.593 


2 


.990 


.548 


.380 9 


.02^ 


.999 


7 


.039 


.998 


8 


.078 


.995 


6 


.120 


.992 


7 


.20^ 


.981 


5 


.297 


.970 


6 


.419 


.947 


4 


.582 


.909 


5 


.690 


.871 


3 


.874 


.764 


4 


.907 


.738 


2 


.993 


.528 


3 


.991 


.563 


a 


.012 


.999 


.400 9 


.053 


.998 


7 


.047 


.997 


8 


.104 


.992 


6 


.139 


.990 


7 


.25? 


.975 


5 


.331 


.965 


6 


.486 


.932 


4 


.622 


.896 


5 


.751 


.845 


3 


.896 


.743 


4 


.956 


.706 


2 


.995 


.510 


3 


.995 


.535 


8 


.015 


.999 


.420 10 


.01? 


.999 


7 


.056 


.997 


9 


.046 


.997 


b 


.160 


.987 


8 


.1 55 


.989 


5 


.366 


.958 


7 


.307 


.967 


4 


.661 


.882 


6 


.555 


.915 


3 


.916 


.723 


5 


.806 


.818 


2 


.996 


.492 


4 


.957 


.675 


8 


.019 


.999 


3 


.99-7 


.510 


7 


.067 


.996 


.440 10 


.017 


.999 


6 


.183 


.965 


9 


.06"^ 


.996 


5 


.402 


.951 


8 


.172 


.985 


4 


.698 


.868 


7 


.366 


.956 


3 


.932 


.702 


6 


.62? 


.896 


2 


.998 


.476 


5 


.85? 


.790 


8 


.023 


.999 


4 


.971 


.647 


7 


.078 


.995 


3 


.998 


.487 


O 


.208 


.982 


.460 10 


.025 


.999 


5 


.439 


.944 


9 


.08" 


.994 


4 


.732 


.852 


8 


.215 


.980 


3 


.945 


.682 


7 


.429 


.945 



15 



FINITE QUEUING TABLES 



POPULATION 14 



15 



.460 



.480 



.500 



,520 



.540 



,560 



.580 



.600 



.650 



6 


.685 


.875 


.650 


8 


.770 


.857 


.030 


2 


.069 


.999 


.085 


2 


.41 3 


.967 


5 


.890 


.763 




7 


.922 


.764 




1 


.413 


.981 




1 


.92? 


.743 


4 


.982 


.620 




6 


.984 


.659 


.032 


2 


.078 


.993 


.090 


4 


.054 


.999 


3 


.999 


.466 




5 


.998 


.549 




1 


.439 


.977 




3 


.141 


.994 


10 


.035 


.998 


.700 


13 


.010 


.999 


.034 


2 


.087 


.998 




2 


.450 


.961 


9 


.1 10 


.991 




12 


.064 


.996 




1 


.465 


.974 




1 


.940 


.712 


8 


.263 


.973 




1 1 


.209 


.982 


.036 


2 


.096 


.998 


.095 


4 


.040 


.999 


7 


.493 


.931 




10 


.442 


.949 




1 


.491 


.970 




3 


.161 


.992 


6 


.743 


.852 




9 


.695 


.890 


.038 


2 


.106 


.997 




2 


.486 


.953 


5 


.920 


.735 




8 


.881 


.808 




1 


.516 


.965 




1 


.955 


.682 


4 


.989 


.594 




7 


.969 


.713 


.040 


2 


.1 17 


.997 


.100 


4 


.040 


.998 


1 1 


.01 1 


.999 




6 


.995 


.612 




1 


.541 


.961 




3 


.181 


.991 


10 


.048 


.997 


.750 


13 


.024 


.999 


.042 


2 


.127 


.996 




2 


.523 


.945 


9 


.141 


.988 




12 


.128 


.990 




1 


.565 


.955 




1 


.966 


.653 


8 


.316 


.965 




1 1 


.343 


.966 


.044 


2 


.1 38 


.996 


.105 


4 


.056 


.998 


7 


.558 


.915 




10 


.612 


.916 




1 


.589 


.950 




3 


.20? 


.989 


6 


.796 


.829 




9 


.832 


.846 


.046 


2 


.149 


.995 




2 


.559 


.936 


5 


.944 


.709 




8 


.950 


.760 




1 


.612 


.943 




1 


.975 


.626 


4 


.993 


.571 




7 


.991 


.666 


.048 


3 


.029 


.999 


.110 


4 


.065 


.998 


1 1 


.016 


.999 




6 


.999 


.571 




2 


.161 


.995 




3 


.225 


.986 


10 


.064 


.996 


.800 


13 


.055 


.997 




1 


.635 


.937 




2 


.594 


.926 


9 


.177 


.984 




12 


.237 


.981 


.050 


3 


.032 


.999 




1 


.98? 


.600 


8 


.374 


.956 




1 1 


.517 


.942 




2 


.173 


.994 


.1 15 


5 


.017 


.999 


7 


.622 


.898 




10 


.775 


.880 




1 


.637 


.930 




4 


.074 


.997 


6 


.841 


.805 




9 


.927 


.801 


.052 


3 


.035 


.999 




3 


.24R 


.984 


5 


.961 


.684 




8 


.984 


.714 




2 


.185 


.993 




2 


.62=^ 


.915 


4 


.996 


.549 




7 


.998 


.625 




1 


.679 


.922 




1 


.986 


.576 


1 1 


.023 


.999 


.850 


13 


.121 


.992 


.054 


3 


.039 


.999 


.120 


5 


.021 


.999 


10 


.085 


.994 




12 


.404 


.964 




2 


.197 


.992 




4 


.08S 


.996 


9 


.220 


.979 




1 1 


.709 


.909 




1 


.700 


.914 




3 


.273 


.981 


a 


.435 


.944 




10 


.902 


.837 


.056 


3 


.043 


.999 




2 


.661 


.903 


7 


.684 


.879 




9 


.978 


.756 




2 


.210 


.991 




1 


.990 


.553 


6 


.880 


.781 




8 


.997 


.672 




1 


.720 


.905 


.125 


5 


.024 


.999 


5 


.974 


.659 


.900 


13 


.254 


.983 


.058 


3 


.047 


.999 




4 


.096 


.996 


4 


.998 


.529 




12 


.629 


.937 




2 


.223 


.990 




3 


.293 


.978 


1 1 


.032 


.998 




1 1 


.879 


.870 




1 


.739 


.896 




2 


.69 3 


.890 


10 


.110 


.991 




10 


.974 


.793 


.060 


3 


.051 


.999 




1 


.993 


.532 


9 


.267 


.973 




9 


.996 


.714 




2 


.236 


.989 


.130 


5 


.029 


.999 


8 


.498 


.932 


.950 


13 


.513 


.964 




1 


.758 


.887 




4 


.109 


.995 


7 


.741 


.859 




12 


.870 


.900 


.062 


3 


.056 


.999 




3 


.323 


.974 


6 


.91 1 


.757 




1 1 


.979 


.827 




2 


.249 


.988 




2 


.723 


.877 


5 


.983 


.637 




10 


.998 


.752 




1 


.776 


.877 




1 


.995 


.512 


4 


.999 


.510 


POPULATION 


15 


.064 


3 


.061 


.998 


.135 


5 


.053 


.999 


1 1 


.044 


.997 












2 


.263 


.987 




4 


.12? 


.994 


10 


.140 


.988 


.006 


1 


.084 


.999 




1 


.793 


.867 




3 


.34Q 


.970 


9 


.320 


.965 


.010 


1 


.140 


.998 


.066 


3 


.066 


.998 




2 


.751 


.863 


8 


.562 


.917 


.013 


1 


.182 


.997 




2 


.276 


.985 




1 


.996 


.493 


7 


.792 


.839 


.015 


1 


.209 


.996 




1 


.809 


.856 


.140 


5 


.053 


.999 


6 


.936 


.734 


.017 


1 


.237 


.995 


.068 


3 


.071 


.998 




4 


.1 56 


.993 


5 


.989 


.615 


.013 


1 


.251 


.994 




2 


.290 


.984 




3 


.376 


.966 


4 


.999 


.493 


.019 


1 


.264 


.993 




1 


.824 


.845 




2 


.778 


.848 


12 


.013 


.999 


.021 


1 


.292 


.992 


.070 


3 


.076 


.998 




1 


.997 


.476 


1 1 


.059 


.996 


.022 


1 


.305 


.991 




2 


.304 


.982 


.145 


5 


.044 


.998 


10 


.176 


.985 


.023 


2 


.042 


.999 




1 


.839 


.833 




4 


.151 


.991 


9 


.378 


.956 




1 


.319 


.990 


.075 


3 


.091 


.997 




3 


.40"^ 


.961 


8 


.626 


.902 


.024 


2 


.046 


.999 




2 


.340 


.978 




2 


.80^ 


.833 


7 


.838 


.817 




1 


.333 


.989 




1 


.872 


.804 




1 


.99R 


.459 


6 


.955 


.71 1 


.025 


2 


.049 


.999 


.080 


4 


.023 


.999 


.150 


5 


.050 


.998 


5 


.993 


.595 




1 


.346 


.986 




3 


.106 


.996 




4 


.166 


.990 


1? 


.030 


.998 


.026 


2 


.053 


,999 




2 


.376 


.973 




3 


.450 


.956 


1 1 


.116 


.991 




1 


.360 


.986 




1 


.899 


.774 




2 


.826 


.817 


10 


.292 


.970 


.028 


2 


.061 


.999 


.085 


4 


.028 


.999 




1 


.999 


.444 


9 


.535 


.927 




1 


.386 


.984 




3 


.123 


.995 


.155 


5 


.057 


.997 



16 



f^INITE QUEUING TABLES 
X M D F X 



155 



160 



165 



170 



.180 



.190 



.200 



.210 



,220 



,230 



.240 



.250 



a 


.182 


.988 


3 


.458 


.950 


2 


.847 


.801 


1 


.999 


.430 


6 


.017 


.999 


5 


.064 


.997 


a 


.199 


.987 


3 


.485 


.944 


2 


.866 


.785 


1 


.999 


.417 


6 


.019 


.999 


5 


.072 


.996 


4 


.217 


.985 


3 


.513 


.938 


2 


.884 


.768 


1 


.999 


.404 


6 


.022 


.999 


5 


.081 


.996 


U 


.236 


.982 


3 


.540 


.931 


2 


.899 


.752 


6 


.029 


.999 


5 


.100 


.994 


4 


.275 


.977 


3 


.593 


.915 


2 


.925 


.720 


6 


.037 


.998 


5 


.121 


.993 


4 


.316 


.972 


3 


.644 


.898 


2 


.946 


.688 


6 


.047 


.998 


5 


.145 


.991 


4 


.359 


.965 


3 


.693 


.879 


2 


.961 


.658 


7 


.016 


.999 


6 


.058 


.997 


5 


.171 


.988 


4 


.403 


.957 


3 


.738 


.859 


2 


.972 


.629 


7 


.021 


.999 


6 


.072 


.996 


5 


.200 


.985 


4 


.448 


.947 


3 


.779 


.838 


2 


.981 


.603 


7 


.026 


.999 


6 


.087 


.995 


5 


.231 


.981 


4 


.493 


.937 


3 


.815 


.816 


2 


.937 


.578 


7 


.033 


.998 


6 


.104 


.993 


5 


.264 


.977 


4 


.539 


.925 


3 


.848 


.793 


2 


.991 


.554 


7 


.041 


.998 


6 


.123 


.992 


5 


.299 


.972 



.250 



.260 



.270 



.280 



.290 



.300 



.310 



.320 



.330 



.340 



I'l D F 

4 .583 .913 
3 .876 .770 
2 .994 .533 
8 .014 .999 
7 .050 .997 
6 .144 .990 

5 .336 .966 



4 


.626 


.399 


3 


.900 


.747 


2 


.996 


.512 


8 


.017 


.999 


7 


.060 


.997 


6 


.167 


.987 


5 


.374 


.959 


4 


.668 


.884 


3 


.920 


.725 


2 


.997 


.494 


8 


.022 


.999 


7 


.072 


.996 


6 


.192 


.984 


5 


.412 


.952 


4 


.707 


.869 


3 


.937 


.703 


2 


.998 


.476 


8 


.027 


.999 


7 


.086 


.995 


6 


.219 


.981 


5 


.452 


.943 


4 


.744 


.852 


3 


.951 


.681 


2 


.999 


.460 


3 


.033 


.998 


7 


.101 


.993 


6 


.248 


.977 


5 


.492 


.934 


4 


.778 


.835 


3 


.962 


.661 


2 


.999 


.444 


8 


.040 


.998 


7 


.118 


.992 


6 


.278 


.973 


5 


.532 


.924 


4 


.810 


.818 


3 


.971 


.641 


2 


.999 


.430 


9 


.014 


.999 


8 


.048 


.997 


7 


.137 


.990 


6 


.311 


.968 


5 


.571 


.914 


4 


.838 


.800 


3 


.978 


.622 


9 


.017 


.999 


8 


.058 


.997 


7 


.157 


.986 


6 


.344 


.963 


5 


.610 


.902 


4 


.863 


.782 


3 


.983 


.604 


9 


.021 


.999 


8 


.068 


.996 


7 


.179 


.985 


6 


.379 


.957 



,340 



,"^60 



,380 



.400 



.420 



.440 



.460 



.480 



.500 



5 


.647 


.890 


4 


.885 


.764 


3 


.987 


.587 


9 


.031 


.998 


8 


.094 


.994 


7 


.228 


.979 


6 


.450 


.942 


5 


.718 


.864 


4 


.922 


.729 


3 


.993 


.555 


10 


.012 


.999 


9 


.044 


.997 


8 


.125 


.991 


7 


.2o4 


.971 


6 


.523 


.926 


5 


.780 


.835 


4 


.948 


.695 


3 


.996 


.526 


10 


.018 


.999 


9 


.061 


.996 


8 


.163 


.987 


7 


.345 


.962 


6 


.595 


.906 


5 


.834 


.806 


4 


.967 


.663 


3 


.998 


.500 


10 


.026 


.999 


9 


.063 


.994 


8 


.2(j7 


.981 


7 


.41 1 


.950 


6 


.664 


.885 


5 


.878 


.776 


4 


.979 


.633 


3 


.999 


.476 


10 


.037 


.998 


9 


.111 


.992 


8 


.257 


.975 


7 


.479 


.936 


6 


.728 


.862 


5 


.913 


.747 


4 


.987 


.605 


3 


.999 


.455 


1 1 


.014 


.999 


10 


.052 


.997 


9 


.144 


.988 


8 


.313 


.967 


7 


.548 


.920 


6 


.785 


.837 


5 


.939 


.718 


4 


.99^ 


.579 


1 1 


.021 


.999 


10 


.071 


.995 


9 


.183 


.984 


8 


.373 


.957 


7 


.616 


.902 


6 


.835 


.812 


5 


.959 


.691 


4 


.996 


.555 


1 1 


.029 


.998 


10 


.094 


.993 


9 


.228 


.979 


8 


.437 


.945 


7 


.680 


.882 



POPULATION 


15 ■ 


- 15 


X 


M 


D 


F 


.500 


6 


.676 


.786 




5 


.973 


.665 




4 


.993 


.533 


.520 


12 


.010 


.999 




1 1 


.04 1 


.997 




10 


.123 


.990 




9 


.279 


.972 




8 


.504 


.932 




7 


.740 


.861 




6 


.910 


.760 




5 


.983 


.640 




4 


.999 


.513 


.540 


12 


.01 '1 


.999 




1 1 


.056 


.996 




10 


.157 


.987 




9 


.35^ 


.964 




8 


.57 1 


.917 




7 


.79a 


.839 




6 


.956 


.735 




5 


.989 


.617 




4 


.999 


.494 


.560 


12 


.021 


.999 




1 1 


.075 


.995 




10 


.19« 


.983 




9 


.397 


.954 




8 


.6 56 


.900 




7 


.64 1 


.817 




6 


.956 


.71 1 




5 


.994 


.595 


.580 


12 


.029 


.998 




1 1 


.100 


.993 




10 


.244 


.977 




9 


.461 


.942 




8 


.69 P. 


.881 




7 


.681 


.794 




6 


.97 1 


.688 




5 


.99A 


.575 


.600 


12 


.041 


.997 




1 1 


.129 


.990 




10 


.29-7 


.970 




9 


.527 


.929 



.650 



.700 



8 .756 .862 



7 


.91 ^ 


.771 


6 


.961 


.666 


5 


.99° 


.555 


13 


.021 


.999 


12 


.086 


.994 


1 1 


.250 


.979 


10 


.450 


.947 


9 


.690 


.890 


8 


.87^ 


.81 1 


7 


.965 


.716 


6 


.99U 


.615 


13 


.04a 


.997 


12 


.16"^ 


.987 


1 1 


.37^ 


.962 



,750 



10 .620 .914 

9 .828 .844 

8 .946 .759 

7 .989 .666 

6 .999 .571 

14 .C1« .999 

13 .10? .993 



17 



FINITE QUEUING TABLES 



POPULATIOfNl 15 



16 



.750 


12 


.289 


.974 


.034 


1 


.497 


.971 


.090 


3 


.168 


.992 


.155 


4 


.224 


.985 




1 1 


.545 


.935 


.036 


2 


.110 


.997 




2 


.499 


.953 




3 


.522 


.939 




10 


.778 


.874 




1 


.524 


.966 




1 


.961 


.678 




2 


.891 


.769 




9 


.923 


.796 


.038 


2 


.121 


.997 


.095 


a 


.051 


.998 


.160 


6 


.024 


.999 




8 


.982 


.710 




1 


.550 


.961 




3 


.190 


.990 




5 


.C85 


.996 




7 


.997 


.622 


.040 


2 


.132 


.996 




2 


.538 


.944 




4 


.244 


.982 


.800 


14 


.044 


.997 




1 


.576 


.955 




1 


.972 


.647 




3 


.551 


.931 




13 


.201 


.985 


.042 


2 


.144 


.996 


.100 


4 


.060 


.998 




2 


.907 


.751 




12 


.461 


.953 




1 


.602 


.949 




3 


.214 


.988 


.165 


6 


.023 


.999 




1 1 


.724 


.900 


.044 


2 


.1 56 


.995 




2 


.576 


.935 




5 


.096 


.995 




10 


.898 


.829 




1 


.627 


.943 




1 


.980 


.618 




4 


.265 


.980 




9 


.974 


.749 


.046 


3 


.031 


.999 


.105 


4 


.071 


.997 




3 


.580 


.923 




8 


.996 


.667 




2 


.169 


.995 




3 


.238 


.986 




2 


.921 


.734 


.850 


14 


.103 


.994 




1 


.651 


.935 




2 


.614 


.924 


.170 


6 


.03? 


.999 




13 


.362 


.970 


.043 


3 


.035 


.999 




1 


.986 


.591 




5 


.107 


.994 




12 


.664 


.923 




2 


.182 


.994 


.110 


5 


.020 


.999 




4 


.286 


.977 




1 1 


.874 


.858 




1 


.674 


.928 




4 


.082 


.997 




3 


.60=1 


.915 




10 


.968 


.783 


.050 


3 


.039 


.999 




3 


.264 


.983 




2 


.934 


.717 




9 


.994 


.706 




2 


.195 


.993 




2 


.650 


.912 


.180 


6 


.04 1 


.998 




8 


.999 


.627 




1 


.697 


.919 




1 


.990 


.565 




5 


.1 50 


.992 


.900 


14 


.229 


.986 


.052 


3 


.043 


.999 


.115 


5 


.024 


.999 




4 


.331 


.971 




13 


.592 


.945 




2 


.209 


.992 




4 


.094 


.996 




3 


.66? 


.896 




12 


.855 


.885 




1 


.719 


.91 1 




3 


.291 


.980 




2 


.954 


.683 




1 1 


.965 


.814 


.054 


3 


.047 


.999 




2 


.685 


.899 


.190 


7 


.014 


.999 




10 


.994 


.741 




2 


.223 


.991 




1 


.993 


.542 




6 


.053 


.998 




9 


.999 


.667 




1 


.740 


.901 


.120 


5 


.028 


.999 




5 


.157 


.990 


.950 


1 4 


.488 


.968 


.056 


3 


.052 


.999 




4 


.107 


.995 




4 


.373 


.963 




13 


.853 


.910 




2 


.237 


.990 




3 


.318 


.976 




3 


.713 


.876 




12 


.974 


.842 




1 


.760 


.891 




2 


.718 


.885 




2 


.963 


.651 




1 1 


.997 


.772 


.058 


3 


.057 


.999 




1 


.995 


.520 


.200 


7 


.019 


.999 












2 


.251 


.989 


.125 


5 


.033 


.999 




6 


.066 


.997 












1 


.780 


.881 




4 


.121 


.994 




5 


.187 


.987 










.060 


3 


.062 


.998 




3 


.346 


.973 




4 


.426 


.954 












2 

1 


.266 
.798 


.987 
.870 




2 

1 


.749 
.997 


.870 
.499 




3 
2 


.7b0 
.97^ 


.854 
.621 


POPULATION 


16 


.062 


3 


.067 


.998 


.130 


5 


.039 


.999 


.210 


7 


.025 


.999 












2 


.230 


.986 




4 


.136 


.993 




6 


.082 


.996 


.006 


1 


.090 


.999 




1 


.815 


.85b 




3 


.375 


.966 




5 


.219 


.983 


.010 


1 


.150 


.998 


.064 


3 


.073 


.996 




2 


.778 


.854 




4 


.474 


.944 


.012 


1 


.180 


.997 




2 


.295 


.984 




1 


.998 


.480 




3 


.80? 


.831 


.014 


1 


.209 


.996 




1 


.832 


.84fc 


.135 


5 


.045 


.998 




2 


.985 


.593 


.016 


1 


.239 


.995 


.066 


3 


.079 


.998 




4 


.151 


.992 


.220 


7 


.0 5? 


.999 


.017 


1 


.254 


.994 




2 


.310 


.983 




3 


.404 


.963 




6 


.09Q 


.994 


.019 


1 


.283 


.993 




1 


.347 


.834 




2 


.805 


.838 




5 


•253 


.979 


.020 


1 


.298 


.992 


.068 


3 


.085 


.997 




1 


.998 


.463 




4 


.523 


.933 


.021 


1 


.312 


.991 




2 


.326 


.981 


.140 


5 


.052 


.998 




3 


.659 


.807 


.022 


2 


.044 


.999 




1 


.862 


.822 




4 


.168 


.990 




2 


.990 


.567 




1 


.327 


.990 


.070 


3 


.091 


.997 




3 


.433 


.958 


.230 


7 


.040 


.998 


.023 


2 


.048 


.999 




2 


.341 


.979 




2 


.830 


.821 




6 


.119 


.993 




1 


.341 


.989 




1 


.875 


.809 




1 


.999 


.446 




5 


.290 


.974 


.024 


2 


.052 


.999 


.075 


4 


.023 


.999 


.145 


5 


.059 


.998 




4 


.571 


.920 




1 


.356 


.988 




3 


.108 


.996 




4 


.186 


.989 




3 


.67 1 


.782 


.025 


2 


.056 


.999 




2 


.330 


.974 




3 


.463 


.952 




2 


.994 


.543 




1 


.370 


.986 




1 


.905 


.776 




2 


.853 


.804 


.240 


8 


.014 


.999 


.026 


2 


.061 


.999 


.OSO 


4 


.029 


.999 




1 


.999 


.431 




7 


.050 


.998 




1 


.385 


.985 




3 


.127 


.995 


.150 


6 


.018 


.999 




6 


. 141 


.991 


.02P 


2 


.069 


.999 




2 


.420 


.968 




5 


.0o7 


.997 




5 


.329 


.968 




1 


.413 


.982 




1 


.928 


.743 




4 


.204 


.987 




4 


.61 3 


.906 


.030 


2 


.079 


.999 


.085 


4 


.036 


.999 




3 


.492 


.946 




3 


.893 


.757 




1 


.441 


.979 




3 


.146 


.994 




2 


.873 


.767 




2 


.99^ 


.520 


.032 


2 


.089 


.998 




2 


.459 


.961 




1 


.999 


.417 


.250 


8 


.01 3 


.999 




1 


.469 


.975 




1 


.947 


.710 


.155 


6 


.021 


.999 




7 


.061 


.997 


.034 


2 


.099 


.998 


.090 


4 


.043 


.999 




5 


.076 


.996 




6 


.166 


.988 



18 



FINITE QUEUING TABLES 

X M D F X M 
.250 

.260 



.270 



.280 



,290 



,300 



,310 



,320 



,330 



,340 



POPULATION 16 - 17 
F X M D F 



5 


.370 


.962 


.340 6 


.471 


.940 


.500 10 


.161 


.987 


.700 


10 


.767 


.874 


n 


.663 


.890 


5 


.736 


.860 


9 


.332 


.965 




9 


.91^ 


.798 


3 


.920 


.733 


4 


.930 


.725 


8 


.560 


.921 




8 


.978 


.713 


2 


.997 


.500 


3 


.994 


.551 


7 


.763 


.846 




7 


.996 


.625 


8 


.023 


.999 


.360 10 


.016 


.999 


6 


.931 


.743 


.750 


15 


.013 


.999 


7 


.074 


.996 


9 


.053 


.997 


5 


.988 


.624 




14 


.081 


.995 


6 


.193 


.985 


8 


.142 


.989 


4 


.999 


.500 




13 


.242 


.980 


5 


.41 1 


.954 


7 


.308 


.969 


.520 12 


.026 


.999 




12 


.481 


.949 


a 


.706 


.874 


6 


.548 


.922 


1 1 


.063 


.994 




11 


.721 


.896 


3 


.938 


.709 


5 


.800 


.830 


10 


.204 


.982 




10 


.889 


.827 


2 


.998 


.481 


4 


.956 


.689 


9 


.396 


.955 




9 


.969 


.749 


8 


.029 


.999 


3 


.997 


.521 


8 


.629 


.903 




8 


.994 


.666 


7 


.089 


.995 


.380 10 


.024 


.999 


7 


.834 


.822 




7 


.999 


.583 


6 


.222 


.982 


9 


.075 


.995 


6 


.953 


.717 


.800 


15 


.055 


.998 


5 


.454 


.946 


8 


.185 


.985 


5 


.993 


.601 




14 


.169 


.988 


4 


.746 


.856 


7 


.375 


.958 


.540 12 


.037 


.998 




13 


.409 


.962 


3 


.953 


.686 


6 


.624 


.901 


1 1 


.110 


.992 




12 


.67 3 


.916 


2 


.999 


.463 


5 


.853 


.798 


10 


.253 


.976 




1 1 


.865 


.853 


8 


.036 


.998 


4 


.973 


.655 


9 


.463 


.943 




10 


.960 


.780 


7 


.105 


.993 


3 


.999 


.493 


8 


.694 


.884 




9 


.99? 


.703 


6 


.253 


.978 


.400 10 


.035 


.998 


7 


.876 


.798 




8 


.999 


.625 


5 


.496 


.936 


9 


.102 


.993 


6 


.969 


.692 


.850 


15 


.087 


.995 


4 


.782 


.838 


8 


.235 


.979 


5 


.996 


.578 




14 


.32-< 


.975 


3 


.964 


.664 


7 


.446 


.945 


.560 13 


.013 


.999 




13 


.619 


.935 


2 


.999 


.446 


6 


.696 


.877 


12 


.051 


.997 




12 


.84« 


.876 


9 


.013 


.999 


5 


.896 


.767 


1 1 


.144 


.989 




1 1 


.955 


.807 


8 


.044 


.998 


4 


.984 


.623 


10 


.309 


.969 




10 


.991 


.735 


7 


.124 


.992 


3 


.999 


.469 


9 


.532 


.929 




9 


.99Q 


.662 


6 


.286 


.973 


.420 11 


.015 


.999 


a 


.754 


.863 


.900 


15 


.206 


.988 


5 


.539 


.926 


10 


.050 


.997 


7 


.91 1 


.773 




14 


.556 


.953 


4 


.816 


.820 


9 


.135 


.990 


6 


.980 


.668 




13 


.82Q 


.898 


3 


.973 


.643 


8 


.292 


.971 


5 


.993 


.558 




12 


.955 


.832 


9 


.016 


.999 


7 


.519 


.929 


.580 13 


.019 


.999 




1 1 


.99? 


.764 


8 


.053 


.997 


6 


.760 


.852 


12 


.070 


.995 




10 


.999 


.694 


7 


.144 


.990 


5 


.928 


.735 


1 1 


.1 83 


.985 


.950 


15 


.463 


.971 


6 


.320 


.968 


4 


.991 


.594 


10 


.370 


.960 




14 


.855 


.918 


5 


.581 


.914 


.440 11 


.022 


.999 


9 


.600 


.914 




13 


.96=^ 


.855 


4 


.845 


.801 


10 


.069 


.995 


8 


.808 


.842 




12 


.996 


.789 


3 


.980 


.622 


9 


.174 


.986 


7 


.937 


.750 










9 


.020 


.999 


8 


.354 


.961 


6 


.988 


.646 










8 


.064 


.996 


7 


.591 


.91 1 


5 


.999 


.539 










7 


.167 


.987 


5 


.816 


.825 


.600 13 


.028 


.998 










6 


.357 


.962 


5 


.952 


.705 


12 


.094 


.993 


POPULATION 


17 


5 


.622 


.902 


4 


.995 


.568 


1 1 


.229 


.980 










a 


.871 


.782 


.460 11 


.032 


.996 


10 


.435 


.950 


.006 


1 


.096 


.999 


3 


.985 


.603 


10 


.094 


.993 


9 


.667 


.897 


.010 


1 


.160 


.998 


9 


.025 


.999 


9 


.221 


.980 


8 


.854 


.820 


.012 


1 


.19? 


.997 


8 


.076 


.995 


8 


.421 


.950 


7 


.957 


.726 


.014 


1 


.223 


.996 


7 


.191 


.985 


7 


.660 


.891 


6 


.993 


.625 


.015 


1 


.25q 


.995 


6 


.394 


.956 


6 


.863 


.798 


5 


.999 


.521 


.017 


1 


.270 


.994 


5 


.662 


.889 


5 


.969 


.677 


.650 14 


.014 


.999 


.018 


1 


.286 


.993 


4 


.894 


.762 


4 


.997 


.543 


13 


.063 


.996 


.019 


1 


.30? 


.992 


3 


.989 


.585 


.480 12 


.012 


.999 


12 


.179 


.986 


.020 


1 


.317 


.991 


9 


.030 


.998 


1 1 


.045 


.997 


1 1 


.373 


.961 


.021 


2 


.046 


.999 


8 


.090 


.994 


10 


.124 


.991 


10 


.607 


.916 




1 


.353 


.990 


7 


.218 


.981 


9 


.274 


.973 


9 


.812 


.849 


.022 


2 


.050 


.999 


6 


.432 


.948 


8 


.490 


.936 


8 


.936 


.765 




1 


.34q 


.989 


5 


.700 


.875 


7 


.725 


.869 


7 


.986 


.672 


.023 


2 


.055 


.999 


4 


.914 


.744 


6 


.901 


.770 


6 


.998 


.577 




1 


.364 


.988 


3 


.992 


.567 


5 


.981 


.650 


.700 14 


.036 


.998 


.024 


2 


.059 


.999 


9 


.037 


.998 


4 


.998 


.521 


1 3 


.130 


.991 




1 


.379 


.986 


8 


.106 


.993 


.500 12 


.018 


.999 


12 


.310 


.971 


.025 


2 


.064 


.999 


7 


.246 


.978 


1 1 


.062 


.996 


1 1 


.546 


.933 




1 


.395 


.985 



19 



FINITE QUEUING TABLES 
. X M D F 



.026 
.028 
.030 
.032 

.034 
.036 
.038 

.040 
.042 
.044 

.046 
.048 
.050 

.052 
.054 

.056 
.058 

.060 
.062 
.064 

.066 
.068 

.070 
.075 



2 .068 .999 

1 .410 .983 

2 .078 .999 

1 .440 .980 

2 .089 .998 

1 .470 .976 

2 .100 .998 



1 .499 ,972 

2 .111 .998 

1 .528 .967 

2 .123 .997 

1 .556 .962 

2 .136 .997 
1 .584 .956 



2 .149 .996 

1 .611 .950 

2 .162 .995 

1 .638 .943 

3 .033 .999 

2 .175 .994 
1 .664 .935 



3 


.037 


.999 


2 


.189 


.994 


1 


.688 


.927 


3 


.041 


.999 


2 


.204 


.993 


1 


.712 


.918 


3 


.046 


.999 


2 


.219 


.992 


1 


.736 


.908 


3 


.051 


.999 


2 


.234 


.991 


1 


.758 


.898 


3 


.056 


.999 


2 


.249 


.989 


1 


.779 


.887 


3 


.062 


.998 


2 


.264 


.988 


1 


.798 


.875 


3 


.067 


.998 


2 


.280 


.987 



1 .817 .863 



3 


.074 


.998 


2 


.296 


.985 


1 


.835 


.851 


3 


.080 


.998 


2 


.312 


.984 


1 


.851 


.838 


3 


.086 


.997 


2 


.329 


.982 


1 


.867 


.825 


3 


.093 


.997 


2 


.345 


.980 


1 


.881 


.81 1 


3 


.100 


.997 


2 


.362 


.978 


1 


.894 


.797 


4 


.023 


.999 


3 


.108 


.996 


2 


.379 


.976 


1 


.906 


.783 


4 


.030 


.999 


3 


.128 


.995 



X 

.075 
.080 

.085 

.090 

.095 
.100 

.105 
.1 10 



M 



.115 



.120 



.125 



.130 



.135 



.140 



145 



D F 

2 .421 .970 

1 .931 .747 
4 .037 .999 

3 .149 .994 

2 .464 .963 
1 .951 .712 

4 .045 .999 



3 .172 .992 

2 .506 .954 

1 .966 .677 

4 .054 .998 

3 .196 .990 

2 .548 .945 
1 .976 .644 



4 .064 .996 

3 .221 .988 

2 .589 .934 

1 .984 .614 

4 .075 .997 

3 .248 .986 

2 .629 .923 



.989 .585 
.022 .999 
.087 .997 
.276 .983 
.667 .910 
1 .993 .558 
5 .026 .999 



4 .101 .996 

3 .305 .979 

2 .704 .896 
1 .995 .534 

5 .032 .999 

4 .115 .995 

3 .335 .976 



2 .738 .881 

1 .997 .511 
5 .037 .999 
4 .131 .994 

3 .365 .971 

2 .771 .864 
1 .998 .490 



5 .044 .998 

4 .148 .993 

3 .396 .966 
2 .800 .847 
1 .999 .470 

5 .051 .998 

4 .165 .991 



3 .428 .961 

2 .828 .830 

1 .999 .452 
5 .059 .998 

4 .184 .989 

3 .459 .955 

2 .852 .811 



.999 .436 

.018 .999 

.068 .997 

.204 .988 

.491 .948 

.874 .793 

.021 .999 



.145 



.150 



155 



160 



.165 



170 



.180 



.190 



.200 



.210 



.220 



.230 



5 


.077 


.997 


4 


.225 


.986 


3 


.523 


.941 


2 


.894 


.774 


6 


.025 


.999 


5 


.087 


.996 


4 


.246 


.983 


3 


.554 


.933 


2 


.91 1 


.755 


6 


.0^9 


.999 


5 


.098 


.995 


4 


.268 


.981 


3 


.585 


.925 


2 


.926 


.736 


6 


.034 


.999 


5 


.1 10 


.994 


4 


.292 


.978 


3 


.615 


.916 


2 


.939 


.718 


6 


.039 


.998 


5 


.123 


.993 


4 


.315 


.97ii 


3 


.644 


.907 


2 


.949 


.699 


6 


.044 


.998 


5 


.136 


.992 


4 


.340 


.971 


3 


.673 


.896 


2 


.959 


.682 


7 


.016 


.999 


6 


.057 


.997 


5 


.165 


.990 


4 


.390 


.963 


3 


.727 


.875 


2 


.973 


.648 


7 


.022 


.999 


6 


.072 


.996 


5 


.198 


.987 


4 


.442 


.953 


3 


.776 


.851 


2 


.982 


.616 


7 


.028 


.999 


6 


.090 


.995 


5 


.233 


.983 


4 


.494 


.942 


3 


.819 


.826 


2 


.989 


.586 


7 


.036 


.998 


6 


.1 10 


.994 


5 


.271 


.978 


4 


.546 


.930 


3 


.856 


.800 


2 


.993 


.559 


7 


.046 


.998 


6 


.132 


.992 


5 


.312 


.972 


4 


.597 


.916 


3 


.888 


.774 


2 


.996 


.534 


3 


.017 


.999 


7 


.058 


.997 


6 


.1 58 


.990 


5 


.354 


.966 



POPULATION 
F X M 
.230 



.240 



17 



17 



.250 



.260 



.270 



.280 



.290 



.300 



.310 



.320 



4 


.647 


.900 


3 


.91 3 


.748 


2 


.997 


.511 


8 


.022 


.999 


7 


.071 


.996 


6 


.186 


.987 


5 


.398 


.958 


4 


.693 


.883 


3 


.934 


.722 


2 


.998 


.490 


8 


.029 


.999 


7 


.087 


.995 


6 


.216 


.983 


5 


.44"^ 


.950 


4 


.757 


.865 


3 


.951 


.697 


2 


.999 


.470 


8 


.056 


.998 


7 


.104 


.994 


6 


.249 


.979 


5 


.489 


.940 


4 


.777 


.846 


3 


.964 


.673 


2 


.999 


.452 


9 


.01 3 


.999 


8 


.04S 


.998 


7 


.124 


.992 


6 


.283 


.975 


5 


.555 


.929 


4 


.81 3 


.827 


3 


.974 


.650 


9 


.017 


.999 


8 


.055 


.997 


7 


. 146 


.990 


6 


.320 


.969 


5 


.58" 


.918 


4 


.845 


.806 


3 


.981 


.628 


9 


.02? 


.999 


8 


.067 


.996 


7 


.170 


.988 


6 


.35Q 


.963 


5 


.624 


.905 


4 


.873 


.786 


3 


.986 


.607 


9 


.027 


.999 


8 


.080 


.995 


7 


.196 


.985 


6 


.398 


.957 


5 


.666 


.891 


4 


.897 


.76'=^ 


3 


.990 


.587 


9 


.033 


.998 


8 


.095 


.994 


7 


.225 


.981 


6 


.459 


.949 


5 


.706 


.876 


4 


.91 8 


.745 


3 


.99^ 


.569 


10 


.012 


.999 


9 


.04 1 


.998 


8 


.113 


.993 


7 


.255 


.978 



20 



FINITE QUEUING TABLES 

X M D F X 
.320 



.330 



Population i7 - i8 

F X M D F 



,340 



,360 



.380 



,400 



,420 



.440 



,460 



6 


.480 


.940 


.460 10 


.152 


.988 


.600 12 


.175 


.986 


population 


18 


5 


.744 


.861 


9 


.312 


.969 


1 1 


.353 


.964 










4 


.935 


.725 


8 


.532 


.929 


10 


.575 


.924 


.006 


1 


.102 


.999 


3 


.995 


.551 


7 


.759 


.859 


9 


.782 


.860 


.009 


1 


.153 


.998 


10 


.015 


.999 


6 


.919 


.758 


8 


.920 


.778 


.012 


1 


.203 


.997 


9 


.050 


.997 


5 


.985 


.636 


7 


.981 


.685 


.013 


1 


.220 


.996 


8 


.132 


.991 


4 


.999 


.511 


6 


.997 


.568 


.015 


1 


.254 


.995 


7 


.288 


.973 


.480 12 


.028 


.999 


.650 14 


.046 


.997 


.016 


1 


.271 


.994 


6 


.522 


.931 


1 1 


.083 


.995 


13 


.138 


.990 


.017 


1 


.287 


.993 


5 


.779 


.845 


10 


.195 


.984 


12 


.305 


.972 


.016 


1 


.304 


.992 


4 


.949 


.706 


9 


.378 


.959 


1 1 


.526 


.937 


.019 


1 


.320 


.991 


3 


.997 


.534 


8 


.605 


.91 1 


10 


.742 


.881 


.020 


2 


.047 


.999 


10 


.019 


.999 


7 


.815 


.834 


9 


.896 


.807 




1 


.357 


.990 


9 


.060 


.997 


6 


.945 


.730 


8 


.971 


.722 


.021 


2 


.05? 


.999 


8 


.153 


.989 


5 


.992 


.612 


7 


.995 


.633 




1 


.353 


.989 


7 


.322 


.968 


4 


.999 


.490 


6 


.999 


.543 


.022 


2 


.C56 


.999 


6 


.563 


.921 


.500 13 


.01 1 


.999 


.•700 15 


.026 


.999 




1 


.370 


.988 


5 


.81 1 


.828 


12 


.040 


.998 


14 


.101 


.993 


.023 


2 


.061 


.999 


4 


.960 


.687 


n 


.111 


.992 


13 


.255 


.979 




1 


.386 


.986 


3 


.998 


.519 


10 


.246 


.978 


12 


.475 


.948 


.024 


2 


.066 


.999 


10 


.029 


.999 


9 


.447 


.947 


1 1 


.702 


.899 




1 


.40^ 


.985 


9 


.085 


.995 


3 


.675 


.892 


10 


.872 


.832 


.025 


2 


.07 1 


.999 


8 


.201 


.984 


7 


.863 


.808 


9 


.961 


.754 




1 


.419 


.983 


7 


.394 


.956 


6 


.964 


.703 


3 


.992 


.672 


.026 


2 


.077 


.999 


6 


.643 


.898 


5 


.995 


.588 


7 


.999 


.588 




1 


.455 


.982 


5 


.865 


.795 


.520 13 


.016 


.999 


.750 15 


.Ot)4 


.996 


.028 


2 


.088 


.998 


4 


.977 


.651 


12 


.056 


.997 


14 


.202 


.985 




1 


.466 


.978 


3 


.999 


.490 


11 


.146 


.989 


13 


.422 


.959 


.030 


2 


.099 


.998 


1 1 


.013 


.999 


10 


.303 


.970 


12 


.662 


.915 




1 


.49 8 


.974 


10 


.043 


.998 


9 


.518 


.933 


1 1 


.849 


.854 


.032 


2 


.11? 


.998 


9 


.1 16 


.992 


8 


.739 


.870 


10 


.951 


.782 




1 


.529 


.969 


8 


.256 


.977 


7 


.901 


.782 


9 


.989 


.706 


.034 


2 


.124 


.997 


7 


.470 


.942 


6 


.977 


.677 


8 


.998 


.627 




1 


.559 


.963 


6 


.717 


.873 


5 


.997 


.565 


.800 16 


.028 


.999 


.036 


2 


.1 58 


.997 


5 


.907 


.761 


.540 13 


.024 


.999 


15 


.142 


.991 




1 


.589 


.957 


4 


.987 


.618 


12 


.076 


.995 


14 


.361 


.970 


.038 


2 


.151 


.996 


1 1 


.020 


.999 


11 


.187 


.985 


13 


.620 


.930 




1 


.61 « 


.951 


10 


.062 


.996 


10 


.366 


.961 


12 


.828 


.874 


.040 


2 


.166 


.995 


9 


.154 


.988 


9 


.589 


.917 


1 1 


.943 


.807 




1 


.646 


.943 


8 


.319 


.968 


8 


.797 


.848 


10 


.987 


.735 


.042 


3 


.055 


.999 


7 


.547 


.924 


7 


.931 


.757 


9 


.998 


.662 




2 


.180 


.995 


6 


.782 


.845 


6 


.986 


.653 


.850 16 


.074 


.996 




1 


.67 3 


.935 


5 


.939 


.728 


5 


.999 


.545 


15 


.287 


.980 


.044 


3 


.059 


.999 


4 


.993 


.588 


.560 13 


.034 


.998 


14 


.575 


.944 




2 


.19-=^ 


.994 


1 1 


.029 


.998 


12 


.103 


.993 


13 


.81 1 


.892 




1 


.699 


.926 


10 


.085 


.994 


1 1 


.236 


.979 


12 


.939 


.829 


.046 


3 


.044 


.999 


9 


.200 


.983 


10 


.434 


.951 


1 1 


.9t36 


.761 




2 


.21 1 


.993 


8 


.387 


.957 


9 


.658 


.900 


10 


.998 


.692 




1 


.725 


.917 


7 


.623 


.905 


8 


.846 


.825 


.900 16 


.165 


.990 


.048 


3 


.049 


.999 


6 


.838 


.817 


7 


.954 


.732 


15 


.521 


.959 




2 


.227 


.992 


5 


.961 


.696 


6 


.992 


.630 


14 


.802 


.909 




1 


.749 


.907 


4 


.996 


.560 


5 


.999 


.525 


13 


.943 


.848 


.050 


3 


.054 


.999 


1? 


.012 


.999 


.580 14 


.013 


.999 


12 


.989 


.784 




2 


.24^ 


.991 


1 1 


.043 


.998 


13 


.049 


.997 


1 1 


.998 


.719 




1 


.77? 


.895 


10 


.1 15 


.992 


12 


.135 


.990 


.950 16 


.440 


.975 


.052 


3 


.060 


.999 


9 


.253 


.977 


1 1 


.291 


.973 


15 


.816 


.925 




2 


.259 


.989 


8 


.459 


.944 


10 


.504 


.938 


14 


.962 


.866 




1 


.794 


.884 


7 


.694 


.883 


9 


.723 


.881 


13 


.995 


.805 


.054 


3 


.066 


.998 


6 


.883 


.787 


8 


.887 


.802 










2 


.276 


.988 


5 


.976 


.666 


7 


.970 


.708 










1 


.814 


.871 


4 


.998 


.535 


6 


.995 


.608 








.056 


3 


.07? 


.998 


12 


.019 


.999 


.600 14 


.019 


.999 










2 


.293 


.986 


1 1 


.060 


.996 


13 


.067 


.996 










1 


.853 


.858 



21 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 18 - 18 
F X M D F 



.058 3 .079 .998 .115 1 .999 .483 .190 7 .031 .999 .280 6 .393 .959 

2 .310 .985 .120 5 .048 .99b 6 .096 .995 5 .65° .897 

1 .851 .845 4 .158 .992 5 .243 .98? 4 .895 .773 
,060 3 .086 .998 3 .414 .965 4 .507 .942 3 .990 .594 

2 .327 .983 2 .818 .842 3 .830 .824 .290 9 .C55 .998 
1 .868 .830 1 .999 .463 2 .991 .583 8 .096 .994 

.062 3 .093 .997 .125 5 .056 .998 .?00 7 .040 .998 7 .224 .982 



,064 



,066 



2 .345 .981 

1 .883 .816 

3 .101 .997 

2 .363 .979 
1 .897 .801 

4 .024 .999 

3 .109 .997 



>130 



4 .177 .991 

3 .448 .959 
2 .846 .823 
1 .999 .444 
6 .018 .999 

5 .065 .997 

4 .198 .989 



.210 



6 .118 .993 
5 .284 .977 
4 .563 .928 
3 .868 .797 
2 .994 .555 
8 .015 .999 

7 .052 .998 



6 .456 .951 

5 .70? .881 

4 .917 .752 

3 .99"^ .574 

.300 10 .01^ .999 

9 .04-^ .998 

8 .lis .993 



,068 



,070 



,075 



.080 



,085 



,090 



.095 



100 



105 



110 



115 



2 


.381 


.977 




3 


.482 


.953 


6 


.143 


.991 


7 


.256 


.978 


1 


.910 


.786 




2 


.870 


.803 


5 


.328 


.971 


6 


.430 


.943 


4 


.026 


.999 


.135 


6 


.021 


.999 


4 


.617 


.913 


5 


.74"^ 


.865 


3 


.1 17 


.996 




5 


.075 


.997 


3 


.900 


.769 


4 


.95A 


.730 


2 


.399 


.974 




4 


.220 


.987 


2 


.997 


.529 


3 


.gg'^- 


.555 


1 


.921 


.771 




3 


.515 


.946 


.220 8 


.020 


.999 


.310 10 


.C17 


.999 


4 


.029 


.999 




2 


.892 


.783 


7 


.0b5 


.997 


9 


.05? 


.997 


3 


.126 


.996 


.140 


6 


.025 


.999 


6 


.171 


.989 


8 


.1 55 


.991 


2 


.417 


.972 




5 


.086 


.996 


5 


.374 


.964 


7 


.291 


.974 


1 


.932 


.756 




4 


.243 


.984 


4 


.668 


.696 


6 


.52 3 


.933 


4 


.037 


.999 




3 


.549 


.938 


3 


.925 


.741 


5 


.780 


.848 


3 


.148 


.994 




2 


.910 


.763 


2 


.998 


.505 


4 


.950 


.710 


2 


.462 


.965 


.145 


6 


.029 


.999 


.230 8 


.027 


.999 


3 


.997 


.537 


1 


.953 


.717 




5 


.098 


.996 


7 


.080 


.996 


.320 10 


.021 


.999 


4 


.045 


.999 




4 


.266 


.982 


6 


.202 


.986 


9 


.064 


.996 


3 


.173 


.993 




3 


.582 


.929 


5 


.422 


.956 


8 


.158 


.989 


2 


.508 


.956 




2 


.927 


.743 


4 


.717 


.878 


7 


.327 


.969 


1 


.968 


.680 


.150 


6 


.034 


.999 


3 


.945 


.714 


6 


.567 


.922 


4 


.055 


.998 




5 


.110 


.995 


2 


.999 


.483 


5 


.814 


.831 


3 


.198 


.991 




4 


.291 


.979 


.240 8 


.034 


.998 


4 


.96? 


.689 


2 


.552 


.947 




3 


.614 


.920 


7 


.098 


.994 


3 


.999 


.521 


1 


.979 


.645 




2 


.940 


.723 


6 


.236 


.982 


.330 10 


.027 


.999 


4 


.066 


.998 


.155 


6 


.040 


.999 


5 


.470 


.947 


9 


.077 


.996 


3 


.226 


.989 




5 


.124 


.994 


4 


.761 


.859 


8 


.18? 


.986 


? 


.596 


.936 




4 


.316 


.976 


3 


.960 


.687 


7 


.36S 


.963 


1 


.986 


.612 




3 


.646 


.910 


2 


.999 


.463 


6 


.610 


.91 1 


4 


.078 


.997 




2 


.952 


.704 


.250 8 


.043 


.998 


5 


.844 


.813 


3 


.255 


.986 


.160 


6 


.046 


.996 


7 


.118 


.993 


4 


.97? 


.670 


2 


.639 


.923 




5 


.138 


.993 


6 


.272 


.977 


3 


.99Q 


.505 


1 


.991 


.582 




4 


.342 


.972 


5 


.519 


.936 


.340 10 


.053 


.998 


5 


.024 


.999 




3 


.677 


.899 


4 


.802 


.838 


9 


.091 


.994 


4 


.092 


.997 




2 


.961 


.685 


3 


.972 


.66? 


8 


.209 


.983 


3 


.285 


.983 


.165 


6 


.052 


.998 


.260 9 


.017 


.999 


7 


.404 


.956 


2 


.680 


.909 




5 


.153 


.991 


8 


.054 


.997 


6 


.651 


.898 


1 


.994 


.554 




4 


.369 


.968. 


7 


.141 


.991 


5 


.871 


.795 


5 


.029 


.999 




3 


.706 


.888 


6 


.310 


.972 


4 


.979 


.651 


4 


.106 


.996 




2 


.969 


.666 


5 


.567 


.924 


3 


.999 


.490 


3 


.316 


.979 


.170 


7 


.017 


.999 


4 


.837 


.817 


.360 11 


.01 6 


.999 


2 


.718 


.894 




6 


.060 


.997 


3 


.980 


.638 


10 


.040 


.997 


1 


.996 


.528 




5 


.170 


.990 


.270 9 


.022 


.999 


9 


.126 


.991 


5 


.034 


.999 




4 


.396 


.964 


8 


.0t,6 


.997 


8 


.270 


.976 


4 


.122 


.995 




3 


.734 


.876 


7 


.166 


.988 


7 


.484 


.941 


3 


.348 


.975 




? 


.975 


.648 


6 


.351 


.966 


6 


.729 


.371 


? 


.754 


.878 


.180 


7 


.023 


.999 


5 


.614 


.91 1 


5 


.91 tJ 


.759 


1 


.998 


.505 




6 


.076 


.996 


4 


.868 


.795 


4 


.989 


.616 


5 


.041 


.999 




5 


.205 


.987 


3 


.986 


.615 


.380 11 


.024 


.999 


4 


.140 


.994 




4 


.451 


.954 


.?80 9 


.0,^8 


.999 


10 


.071 


.996 


3 


.381 


.970 




3 


.785 


.851 


8 


.080 


.995 


9 


. 169 


.987 


2 


.788 


.861 




2 


.985 


.614 


7 


.194 


.986 


8 


.357 


.966 



22 



FINITE QUEUING TABLES 
X M D F X 



,380 



,400 



,520 



7 .566 .922 
6 .796 .842 



5 


.945 


.724 


4 


.994 


.584 


1 1 


.036 


.998 


10 


.098 


.994 


9 


.220 


.982 



8 .410 .954 
7 ,644 .901 



6 


.852 


.812 


5 


.966 


.691 


4 


.997 


.555 


420 12 


.017 


.999 


1 1 


.053 


.997 


10 


.133 


.991 


9 


.278 


.974 


8 


.487 


.940 


7 


.718 


.877 


6 


.897 


.781 


5 


.980 


.660 


4 


.999 


.529 


440 12 


.026 


.999 


1 1 


.074 


.995 


10 


.175 


.986 


9 


.343 


.965 


8 


.564 


.923 


7 


.783 


.851 


6 


.930 


.750 


5 


.989 


.630 


4 


.999 


.505 


460 13 


.01 1 


.999 


12 


.038 


.998 


] 1 


.102 


.993 


10 


.225 


.981 


9 


.414 


.954 


8 


.639 


.904 


7 


.838 


.825 


6 


.955 


.720 


5 


.994 


.603 


480 13 


.017 


.999 


12 


.054 


.997 


1 1 


.136 


.990 


10 


.282 


.974 


9 


.487 


.941 


8 


.709 


.882 


7 


.883 


.797 


6 


.972 


.692 


5 


.997 


.579 



,500 13 .025 .999 



12 


.075 


.995 


1 1 


.178 


.986 


10 


.346 


.965 


9 


.562 


.925 


8 


.773 


.859 


7 


.919 


.770 


6 


.983 


.665 



5 .998 .555 

13 .037 .998 

12 .102 .993 

1 1 .227 .981 

10 .415 .954 

9 .635 .907 

8 .828 .835 



,520 



.540 



.560 



.580 



.600 



.650 



.750 



7 .946 .743 
6 .990 .640 



5 


.999 


.534 


14 


.015 


.999 


13 


.052 


.997 


12 


.136 


.990 


1 1 


.283 


.974 



10 .487 .942 
9 .704 .888 



8 


.874 


.81 1 


7 


.965 


.718 


6 


.994 


.617 


14 


.023 


.999 


13 


.073 


.995 



12 .177 .986 

11 .346 .966 

10 .561 .927 

9 .767 .867 

8 .911 .786 

7 .978 .693 

6 .997 .595 



14 .033 .998 

13 .099 .993 

12 .225 .981 

11 .414 .956 

10 .633 .91 1 

9 .322 .845 

8 .939 ,762 



7 

6 

15 .012 

14 .048 

.131 

.281 

.486 



13 
12 

1 1 



.987 .670 
.998 ,575 
,999 
.997 
.991 
.975 
.944 



10 .702 ,893 

9 .869 .822 

8 .960 .738 

7 .992 .648 

6 .999 .556 

15 .033 .996 

14 .106 ,993 



13 ,247 ,980 

12 .449 ,952 

11 ,668 .906 

10 ,845 .843 

9 .948 .766 

8 .988 .683 

7 .998 .596 



.700 16 .019 ,999 

15 ,079 ,995 

14 .209 .984 

13 .409 .960 

12 .635 .919 

11 .823 .861 

10 .936 .790 



9 .984 .714 



8 .997 ,635 

16 ,051 ,997 

15 ,167 ,989 

14 ,367 ,968 

13 .603 ,931 

12 ,804 ,877 



POPULATION 
F X M 



.750 11 ,927 ,811 
10 ,980 ,740 



,300 



9 


,996 


,667 


17 


,023 


,999 


16 


.1 19 


,993 


15 


.317 


,975 


14 


,569 


,942 



13 .788 ,892 
12 ,921 .830 



,850 



1 1 
10 
9 
17 
lb 



.979 
.996 
.999 
.063 
.255 



,763 
,694 
,625 
,997 
.983 



15 ,532 .953 
14 .776 ,905 

.921 

.980 

.996 



13 

12 
1 1 



.847 
.784 
,719 



,900 17 .167 ,991 
16 ,4o7 .964 



15 .774 .919 

14 .929 .863 
13 .984 ,802 
12 ,998 ,741 

.950 17 ,418 ,977 

16 ,798 ,932 

15 ,955 ,877 



14 ,993 .819 
13 .999 .760 



POPULATION 



19 



.006 
.009 
.01 1 
.01 3 
.01 4 



.016 
.^^17 
.018 
.019 

.020 



,021 



.022 



,023 



.024 



.025 



.026 



.028 



1 .108 .999 

1 .162 .998 

1 .198 .997 

1 .233 .996 

1 .251 .995 



1 .266 .994 



1 .304 .993 

1 .322 .992 

2 .048 .999 

1 .339 .991 

2 .053 .999 
1 .357 .990 



.999 
.988 
.999 
.987 
.999 
.985 
2 .074 .999 



.058 
.374 
.063 
.391 
.068 
1 .408 



1 .426 .984 

2 .079 .999 



1 .443 


.982 


2 .085 


.999 


1 .459 


.980 


2 .098 


.998 


1 .493 


.976 



.030 



.032 



.034 



.036 



.038 



.040 



.042 



.044 



.046 



.048 



.050 



.052 



.054 



.056 



.053 



.060 



.062 



.064 



.066 



.068 



.070 



.075 



)N 


18 - 


19 


1 


D 


F 


2 


.110 


.993 


1 


.526 


.971 


2 


.124 


.997 


1 


.559 


.965 


2 


.1 58 


.997 


1 


.590 


.959 


2 


.153 


.996 


1 


.620 


.952 


2 


.16'' 


.995 


1 


.650 


.945 


3 


.056 


.999 


2 


.183 


.995 


1 


.679 


.936 


3 


.04-^ 


.999 


2 


.199 


.994 


1 


.70-7 


.927 


3 


.04'S 


.999 


2 


.216 


.993 


1 


.754 


.917 


3 


.051 


.999 


2 


.253 


.992 


1 


.759 


.906 


3 


.05-7 


.999 


2 


.250 


.990 


1 


.783 


.894 


3 


.06 3 


.999 


2 


.26=^ 


.989 



1 .80'S .882 



3 


.070 


.998 


2 


.285 


.988 


1 


.82-7 


.868 


3 


.077 


.998 


2 


.304 


.986 


1 


.847 


.854 


3 


.034 


.998 


2 


.32^5 


.984 


1 


.86"^ 


.839 


3 


.09? 


.997 


2 


.3ai 


.982 


1 


.882 


.824 


3 


.100 


.997 


2 


.360 


.980 


1 


.b97 


.808 


3 


,}0°. 


.997 


2 


.379 


.976 


1 


.91 1 


.793 


4 


.027 


.999 


3 


.117 


.996 


2 


.39° 


.976 


1 


.92^ 


.776 


4 


.029 


.999 


3 


.126 


.996 


2 


.417 


.973 


1 


.954 


.760 


4 


.05? 


.999 


3 


.1 55 


.995 


2 


.456 


.970 


1 


.94 3 


.744 


4 


.056 


.999 


3 


.145 


,995 


2 


.456 


,967 


1 


.95? 


.727 


4 


.C+S 


.999 



23 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 19 - 19 
F X M D F 



,075 



,080 



3 .170 .993 

2 .504 .959 

1 .969 .688 

4 .055 .998 

3 .198 .991 

2 .552 .949 
1 .980 .650 



.140 
.145 



.150 



2 .939 ,733 
6 .039 .999 

5 .121 .994 
4 .311 .977 

3 .640 .915 
2 .951 .712 

6 .045 .998 



.220 



,230 



5 .439 .955 
4 .734 .875 
3 .952 .708 
2 .999 .478 
8 .039 .998 
7 .108 .994 

6 .251 .981 



.310 



9 .078 .996 

8 .18? .987 

7 .36? .964 

6 .606 .914 

5 .8-4? .819 

4 .97? .675 

3 .999 .509 



.085 



,090 



,095 



100 



4 .067 .998 



.105 



.110 



1 15 



120 



125 



130 



135 



140 



3 


.227 


.989 


2 


.598 


.938 


1 


.987 


.615 


4 


.080 


.997 


3 


.258 


.986 


2 


.644 


.925 


1 


.992 


.582 


5 


.025 


.999 


4 


.094 


.997 


3 


.290 


.983 


2 


.687 


.910 


1 


.995 


.553 


5 


.030 


.999 


4 


.110 


.996 


3 


.323 


.979 


2 


.728 


.894 


1 


.997 


.526 


5 


.037 


.999 


4 


.127 


.995 


3 


.357 


.975 


2 


.766 


.877 


1 


.998 


.501 


5 


.044 


.999 


4 


.146 


.993 


3 


.392 


.970 


2 


.800 


.858 


1 


.999 


.478 


5 


.052 


.998 


4 


.166 


.992 


3 


.428 


.964 


2 


.832 


.839 


1 


.999 


.458 


5 


.061 


.998 


4 


.187 


.990 


3 


.464 


.958 


2 


.860 


.818 


6 


.020 


.999 


5 


.071 


.997 


4 


.210 


.988 


3 


.500 


.951 


2 


.884 


.797 


6 


.024 


.999 


5 


.082 


.997 


4 


.234 


.986 


3 


.536 


.943 


2 


.905 


.776 


6 


.028 


.999 


5 


.094 


.996 


4 


.258 


.983 


3 


.571 


.935 


2 


.923 


.754 


6 


.033 


.999 


5 


.107 


.995 


4 


.284 


.981 


3 


.606 


.925 



.155 



.160 



.165 



.170 



.180 



.190 



.200 



.210 



.220 



5 .136 .993 

4 .338 .974 

3 .673 .904 
2 .962 .692 

6 .052 .998 

5 .153 .992 

4 .367 .970 



3 .704 .893 



5 .491 .944 



.320 10 .055 .998 



2 


.970 


.672 


7 


.018 


.999 


6 


.060 


.996 


5 


.170 


.990 


4 


.395 


.965 


3 


.734 


.880 


2 


.977 


.653 


7 


.021 


.999 


6 


.069 


.997 


5 


.188 


.989 


4 


.425 


.960 


3 


.762 


.867 


2 


.982 


.634 


7 


.024 


.999 


6 


.078 


.997 


5 


.207 


.987 


4 


.454 


.955 


3 


.789 


.854 


2 


.986 


.616 


7 


.033 


.999 


6 


.099 


.995 


5 


.248 


.983 


4 


.514 


.943 


3 


.836 


.826 


2 


.992 


.583 


7 


.043 


.996 


6 


.123 


.993 


5 


.292 


.977 


4 


.572 


.929 


3 


.876 


.796 


2 


.995 


.553 


8 


.017 


.999 


7 


.056 


.996 


6 


.1 50 


.991 


5 


.339 


.971 


4 


.629 


.912 


3 


.908 


.767 


2 


.997 


.526 


8 


.023 


.999 


7 


.070 


.997 


6 


.181 


.988 


5 


.388 


.963 


4 


.684 


.894 


3 


.933 


.737 


2 


.999 


.501 


8 


.030 


.999 


7 


.088 


.995 


6 


.215 


.985 



.240 



.250 



.?60 



,270 



.280 



.290 



.300 



4 


.780 


.854 


9 


.09"? 


.994 


3 


.967 


.681 


8 


.21 1 


.984 


9 


.016 


.999 


7 


.404 


.958 


8 


.049 


.998 


6 


.650 


.901 


7 


.1 30 


.992 


5 


.871 


.800 


6 


.291 


.976 


4 


.97° 


.655 



.542 .933 



.310 



4 


.320 


.832 


3 


.977 


.654 


9 


.020 


.999 


8 


.062 


.997 


7 


.156 


.990 


6 


.333 


.970 


5 


.593 


.920 


4 


.856 


.809 


3 


.984 


.629 


9 


.026 


.999 


8 


.076 


.996 


7 


.164 


.987 


6 


.377 


.963 


5 


.642 


.905 


4 


.886 


.786 


3 


.990 


.606 


9 


.033 


.998 


8 


.093 


.995 


7 


.215 


.984 


6 


.422 


.956 


5 


.689 


.890 


4 


.91 1 


.763 


3 


.993 


.584 


10 


.013 


.999 


9 


.042 


.998 


8 


.111 


.993 


7 


.249 


.980 


6 


.468 


.947 


5 


.733 


.873 


4 


.932 


.740 


3 


.995 


.563 


10 


.017 


.999 


9 


.052 


.997 


8 


.133 


.992 


7 


.265 


.976 


6 


.515 


.937 


5 


.773 


.856 


4 


.949 


.718 


3 


.997 


.544 


10 


.022 


.999 


9 


.064 


.997 


8 


.156 


.989 


7 


.323 


.970 


6 


.561 


.926 


5 


.810 


.837 


4 


.962 


.696 


3 


.998 


.526 


10 


.028 


.999 



.330 



.340 



,400 



.420 



3 .99Q .493 

11 .014 .999 

10 .04^ .998 

9 .111 .993 

8 .24? .980 

7 .446 .950 

6 .69? .888 



5 

4 

1 1 



.895 .781 

.985 .636 

.Ol'' .999 

10 .053 .997 

9.151 ,991 

8 .275 .976 

7 .489 .942 



.75? .873 
.916 .762 



4 .989 .618 



.360 11 



.028 .999 

10 .077 .996 

9 .177 .987 

8 .347 .966 



.574 .922 
.802 .842 
.949 .725 
.995 .584 



.380 12 .013 .999 
11 .04? .998 
10 .109 .993 



9 


.25? 


.981 


8 


.424 


.953 


7 


.657 


.899 


6 


.860 


.810 


5 


.969 


.689 


4 


.997 


.554 


12 


.021 


.999 


1 1 


.061 


.997 


10 


.146 


.990 


9 


.295 


.973 


8 


.505 


.938 


7 


.75? 


.874 


6 


.905 


.777 


5 


.983 


.656 


4 


.999 


.526 


12 


.052 


.998 


1 1 


.086 


.995 


10 


.193 


.985 


9 


.365 


.963 


8 


.586 


.920 


7 


.799 


.847 



24 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 19 - 20 
F X M D F 



,420 



,440 



6 .938 .745 

5 .990 .626 

4 .999 .501 

13 .015 .999 

12 .047 .997 

11 .119 .992 

10 .249 .979 



.560 10 .678 .900 

9 .852 .832 

8 .952 .748 

7 .990 .657 

6 .999 .564 

.580 15 .023 .999 

14 .071 .996 



.850 17 .226 .986 .040 2 .202 .994 

16 .490 .96C 1 .71? .929 

15 .740 .917 .042 3 .047 .999 

14 .900 .864 2 .219 .993 

13 .972 .804 1 .740 ,918 

12 .994 .743 .044 3 .05^ .999 

1 1 .999 .681 2 .257 .992 



.460 



.480 



,500 



.520 



.540 



,560 



9 


.440 


.950 


8 


.663 


.899 


7 


.854 


.818 


6 


.961 


.714 


5 


.995 


.598 


13 


.023 


.999 


12 


.067 


.996 


1 1 


.158 


.988 


10 


.312 


.971 


9 


.518 


.936 


8 


.735 


.876 


7 


.898 


.790 


6 


.977 


.685 


5 


.997 


.572 


13 


.035 


.998 


12 


.093 


.994 


1 1 


.206 


.984 


10 


.381 


.961 


9 


.596 


.918 


8 


.798 


.851 


7 


.931 


.761 


6 


.986 


.657 


5 


.999 


.548 


1 4 


.016 


.999 


13 


.050 


.997 


12 


.126 


.991 


1 1 


.262 


.977 


10 


.454 


.949 


9 


.670 


.899 


8 


.851 


.826 


7 


.955 


.733 


6 


.992 


.631 


5 


.999 


.526 


14 


.024 


.999 


13 


.071 


.996 


12 


.167 


.988 


1 1 


.324 


.969 


10 


.530 


.934 


9 


.739 


.878 


8 


.894 


.800 


7 


.972 


.707 


6 


.996 


.607 


14 


.035 


.998 


13 


.097 


.994 


12 


.215 


.983 


1 1 


.393 


.959 


10 


.606 


.918 


9 


.800 


.855 


8 


.927 


.774 


7 


.983 


.681 


6 


.998 


.585 


15 


.015 


.999 


14 


.051 


.997 


13 


.131 


.991 


12 


.271 


.976 


1 1 


.467 


.948 



.600 



.650 



.700 



.750 



.800 



13 .172 .987 

12 .335 .969 

11 .542 .934 

10 .745 .880 

9 .894 .806 

8 .970 .724 

7 .995 .635 



6 .999 .544 



.900 18 .150 .993 

17 .455 .969 

16 .746 .927 

15 .915 .875 

14 .979 .818 

13 .996 .760 

.950 18 .397 .979 



17 .779 .93P 



15 


.034 


.998 




16 


.947 


.886 


14 


.098 


.994 




15 


.991 


.831 


13 


.221 


.982 




14 


.999 


.776 


12 


.404 


.959 










1 1 


.617 


.918 










10 


.805 


.859 










9 


.927 


.784 


POPULATION 


20 


8 


.981 


.701 










7 


.997 


.614 


.006 


1 


.095 


.999 


16 


.024 


.999 


.009 


1 


.171 


.998 


15 


.080 


.995 


.01 1 


1 


.206 


.997 


14 


.197 


.965 


.01 3 


1 


.246 


.996 


13 


.378 


.964 


.014 


1 


.265 


.995 


12 


.592 


.927 


.01 5 


1 


.283 


.994 


1 1 


.786 


.873 


.0I6 


1 


.302 


.993 


10 


.915 


.804 


.017 


1 


.321 


.992 


9 


.976 


.728 


.018 


2 


.048 


.999 


8 


.995 


.648 




1 


.339 


.991 


7 


.999 


.567 


.019 


2 


.053 


.999 


17 


.014 


.999 




1 


.358 


.990 



16 .061 .997 

15 .170 .986 

14 .349 .969 

13 .568 .935 

12 .769 .885 

11 .905 .822 

10 .971 .751 



.850 



9 


.994 


.676 


8 


.999 


.601 


17 


.040 


.998 


16 


.138 


.991 


15 


.317 


.975 


14 


.544 


.943 


13 


.755 


.896 


12 


.898 


.837 


1 1 


.969 


.771 


10 


.993 


.702 


9 


.999 


.632 


18 


.018 


.999 


17 


.100 


.994 


16 


.278 


.980 


15 


.519 


.951 


14 


.745 


.907 


13 


.896 


.851 


12 


.968 


.768 


1 1 


.993 


.724 


10 


.999 


.656 


18 


.054 


.997 



.020 



.021 



.022 



.023 



.024 



.025 



.026 



.028 



.030 



.032 



.034 



.036 



.038 



.040 



2 


.056 


.999 


1 


.376 


.989 


2 


.064 


.999 


1 


.394 


.987 


2 


.070 


.999 


1 


.412 


.986 


'-^ 


.075 


.999 


1 


.431 


.984 


2 


.082 


.999 


1 


.449 


.982 


2 


.068 


.999 


1 


.466 


.980 


2 


.094 


.998 


1 


.484 


.978 


2 


.108 


.998 


1 


.519 


.973 


2 


.122 


.998 


1 


.553 


.968 


2 


.137 


.997 


1 


.587 


.962 


2 


.152 


.996 


1 


.620 


.955 


2 


.168 


.996 


1 


.651 


.947 


3 


.036 


.999 


2 


.185 


.995 


1 


.682 


.938 


3 


.041 


.999 



.046 



.048 



.050 



.052 



.054 



.056 



.058 



.060 



.06k 



.064 



.066 



.068 



.070 



.075 



.080 



.085 



1 .767 .906 
3 .059 .999 

2 .255 .991 

1 .79? .894 

3 .066 .999 

2 .174 .989 
1 .815 .881 



3 .07^ .998 
2 .29^ .983 



1 


.8 57 


.866 


3 


.080 


.998 


2 


.31? 


.986 


1 


.858 


.851 


3 


.088 


.998 


2 


.35? 


.984 


1 


.876 


.835 


3 


.097 


.997 


2 


.35? 


.982 


1 


.89^ 


.al9 


3 


.105 


.997 


2 


.37? 


.980 


1 


.90° 


.802 


4 


.026 


.999 


3 


.115 


.997 


2 


.39? 


.978 


1 


.92? 


.785 


4 


.C2Q 


.999 


3 


.124 


.996 


2 


.41 3 


.975 


1 


.954 


.768 


4 


.C57 


.999 


3 


.1 54 


.996 


2 


.453 


.972 


1 


.944 


.751 


4 


.0 56 


.999 


3 


.144 


.995 


2 


.454 


.969 


1 


.953 


.733 


4 


.0 59 


.999 


3 


.155 


.995 


2 


.474 


.966 


1 


.961 


.716 


4 


.04"^ 


.999 


3 


.165 


.994 


2 


.495 


.962 


1 


.967 


.699 


4 


.054 


.999 


3 


.194 


.992 


2 


.545 


.953 


1 


.980 


.659 


4 


.0b6 


.998 


3 


.225 


.990 


2 


.595 


.941 


1 


.988 


.621 


4 


.C80 


.997 


3 


.257 


.987 



25 



FINITE QUEUING TABLES 



POPULATION 20 - 20 



.085 



.090 



?. 


.643 


.928 


.150 


4 


.388 


.968 


.230 


6 


.306 


.975 


.310 


5 


.89? 


.788 


1 


.993 


.586 




3 


.728 


.887 




5 


.560 


.931 




4 


.985 


.643 


5 


.025 


.999 




2 


.976 


.661 




4 


.834 


.828 


.320 


1 1 


.01 R 


.999 


a 


.095 


.997 


.155 


7 


.021 


.999 




3 


.981 


.649 




10 


.053 


.997 


3 


.291 


.984 




6 


.068 


.997 


.240 


9 


.024 


.999 




9 


.1 50 


.992 


2 


.689 


.913 




5 


.185 


.990 




8 


.068 


.997 




8 


.27? 


.977 


1 


.996 


.554 




4 


.419 


.963 




7 


.168 


.989 




7 


.483 


.944 



,095 5 .031 .999 

4 .112 .996 

3 .326 .980 
2 .733 .896 
1 .998 .526 

.100 5 .038 .999 

4 .131 .995 



3 .758 .874 

2 .982 .641 

I 160 7 .024 .999 
6 .077 .997 
5 .205 .988 

4 .450 .957 

3 .787 .860 



6 .351 .969 
5 .613 .917 
4 .870 .804 
3 .988 .623 

.250 9 .031 .999 

8 .085 .996 

7 .199 .986 



6 .727 .878 

5 .915 .768 

4 .989 .624 

.330 11 .02^ .999 

10 .06"= .997 

9 .154 .990 

8 .309 .973 



3 .363 .975 

2 .773 .878 

1 .999 .500 
105 5 .046 .999 

4 .151 .993 

3 .400 .970 

2 .809 .858 



165 



2 .987 .622 
7 .029 .999 
6 .068 .996 
5 .226 .986 
4 .482 .951 

3 .813 .845 
2 .990 .604 



6 .398 .961 
5 .664 .901 
4 .900 .780 
3 .992 .599 

.260 9 .039 .998 

8 .104 .994 

7 .233 .983 



7 .529 .935 

6 .766 .862 

5 .953 .748 

4 .993 .605 

.340 11 .029 .999 

10 .079 .996 

9 ,179 .987 



1 .999 .476 
,110 5 .055 .998 

4 .172 .992 

3 .438 .964 

2 .842 .837 
115 5 .065 .998 

4 .195 .990 



.170 7 .033 .999 

6 .099 .995 

5 .248 .983 

4 .513 .945 

3 .838 .830 

2 .993 .587 

I 180 7 .044 .996 



6 .446 .953 

5 .712 .884 

4 .924 .755 

3 .995 .576 

.270 10 .016 .999 

9 .049 .998 

8 .125 .992 



8 .347 .967 
7 .573 .924 
6 .80? .846 
5 .949 ,729 
4 .995 .588 
.360 12 .015 .999 
11 .045 ,998 



3 .476 .958 

2 .870 .816 
120 6 .022 .999 

5 .076 .997 

4 .219 .988 

3 .514 .950 
? .895 .793 



.125 6 .026 .999 

5 .088 .997 

4 .245 .986 
3 .552 .942 
2 .916 .770 

,130 6 .031 .999 

5 .101 .996 



4 .271 .983 

3 .589 .933 

2 .934 .748 
,135 6 .037 .999 

5 .116 .995 

4 .299 .980 

3 .626 .923 





6 


.125 


.994 


7 


.270 


.978 


10 


.11? 


.993 




5 


.295 


.978 


6 


.495 


.943 


9 


.257 


.981 




4 


.575 


.930 


5 


.757 


.867 


8 


.429 


.954 




3 


.879 


.799 


4 


.943 


.731 


7 


.660 


.901 




2 


.996 


.555 


3 


.997 


.555 


6 


.863 


.812 


190 


8 


.018 


.999 .280 10 


.021 


.999 


5 


.971 


.691 




7 


.058 


.998 


9 


.061 


.997 


4 


.998 


.555 




6 


.154 


.991 


8 


.149 


.990 .380 12 


.024 


.999 




5 


.345 


.971 


7 


.309 


.973 


11 


.067 


.996 




4 


.636 


.914 


6 


.544 


.932 


10 


.154 


.989 




3 


.913 


.768 


5 


.797 


.848 


9 


.305 


.973 




2 


.998 


.526 


4 


.958 


.708 


8 


.513 


.938 


200 


8 


.025 


.999 


3 


.998 


.536 


7 


.759 


.874 




7 


.074 


.997 .290 10 


.027 


.999 


6 


.909 


.777 




6 


.187 


.988 


9 


.075 


.996 


5 


.984 


.656 




5 


.397 


.963 


8 


.176 


.988 


4 


.999 


.526 




4 


.693 


.895 


7 


.351 


.967 .400 13 


.01? 


.999 




3 


.938 


.736 


6 


.592 


.920 


12 


.0 57 


.998 




2 


.999 


.500 


5 


.833 


.828 


1 1 


.095 


.994 


210 


8 


.033 


.999 


4 


.970 


.685 


10 


.205 


.984 




7 


.093 


.995 


3 


.999 


.517 


9 


.379 


.962 



2 .948 .725 
140 6 .043 .998 

5 .131 .994 

4 .328 .976 

3 .661 .912 
2 .960 .703 

,145 6 .051 .998 



6 .223 .985 
5 .451 .954 
4 .745 .874 
3 .958 .706 
2 .999 .476 

.220 8 .043 .998 

7 .115 .994 



.300 10 .034 .998 

9 .091 .995 

8 .205 .985 

7 .394 .961 

6 .639 .907 

5 .865 .808 

4 .978 .664 



8 .598 .918 

7 .807 .845 

6 .94? .744 

5 .99? .624 

,420 13 .019 .999 

12 .055 .997 

11 .151 .991 



5 .148 .993 

4 .358 .972 
3 .695 .900 
2 .969 .682 

150 7 .017 .999 

6 .059 .998 

5 .166 .991 



.230 



6 .263 .980 
5 .505 .943 
4 .793 .852 
3 .971 .677 
9 .018 .999 
8 .054 .998 

7 .140 .992 



.310 



3 .999 .500 

11 .014 .999 

10 .043 .998 

9 .110 .993 

8 .237 .981 

7 .438 .953 

6 .684 .893 



10 .265 .977 

9 .458 .949 

8 .678 .896 

7 .86"^ .815 

6 .965 .711 

5 .996 .595 

,440 13 .029 .999 



26 



FINITE QUEUING TABLES 
X M D F X 



.440 



.460 



,430 



12 


.078 


.995 


1 1 


.175 


.987 


10 


.333 


.969 


9 


.540 


.933 


8 


.751 


.872 


7 


.907 


.785 


6 


.980 


.680 


5 


.998 


.568 


14 


.014 


.999 


13 


.043 


.998 


12 


.109 


.993 


1 1 


.228 


.982 


10 


.407 


.958 


9 


.620 


.914 



8 .815 .846 

7 .939 .755 

6 .989 .651 

5 .999 .543 

14 .022 .999 

13 .063 .996 

12 .147 .990 



.560 



,580 



• 600 



M D F 

8 .976 .713 

7 .996 .625 

16 .015 .999 

15 .051 .997 

14 .129 .991 

13 .266 .978 

12 .455 .952 



n .662 .908 

10 .835 .847 

9 .941 .772 

8 .986 .689 

7 .998 .603 

16 .023 .999 

15 .072 .996 



14 .171 .988 

13 .331 .970 

12 .532 .938 

11 .732 .889 

10 .882 .824 

9 .962 .746 

8 .992 .666 



POPULATION 20 - 21 
F X M D F 



.850 15 .877 .878 

14 .962 .823 

13 .991 .765 

12 .998 .706 

.900 19 .135 .994 

18 .425 .972 

17 .717 .935 



16 .898 .886 
15 .973 .833 
14 .995 .778 
13 .999 .722 

.950 19 .377 .981 

18 .760 .943 

17 .939 .894 



16 .989 .842 
15 .999 .789 



.040 



.042 



,044 



.046 



.048 



.050 



.052 



3 .04-7 .999 
2 .220 .993 



1 


.743 


.920 


3 


.054 


.999 


2 


.259 


.992 


1 


.771 


.908 


3 


.060 


.999 


2 


.259 


.991 


1 


.798 


.895 


3 


.068 


.999 


2 


.279 


.989 


1 


.82? 


.881 


3 


.075 


.998 


2 


.299 


.988 


1 


.8^5 


.866 


3 


.08^ 


.998 


2 


.319 


.986 


1 


.866 


.850 


3 


.09? 


.998 


2 


.340 


.984 



1 .885 .833 



.500 



.520 



.540 



,560 



1 1 


.289 


.974 


7 


.999 


.583 


POPULATION 


21 


.054 


3 


.101 


.997 


10 


.484 


.944 .650 17 


.017 


.999 












2 


.361 


.982 


9 


.695 


.893 


16 


.061 


.997 


.005 


1 


.100 


.999 




1 


.90? 


.815 


8 


.867 


.819 


15 


.156 


.989 


.008 


1 


.160 


.998 


.056 


3 


.110 


.997 


7 


.962 


.726 


14 


.314 


.973 


.01 1 


1 


.219 


.997 




2 


.38? 


.980 


6 


.994 


.625 


13 


.518 


.943 


.012 


1 


.239 


.996 




1 


.917 


.797 


14 


.033 


.998 


12 


.720 


.898 


.014 


1 


.279 


.995 


.058 


4 


.028 


.999 


13 


.088 


.995 


1 1 


.872 


.837 


.015 


1 


.298 


.994 




3 


.120 


.997 


12 


.194 


.985 


10 


.957 


.767 


.016 


1 


.318 


.993 




2 


.404 


.977 


1 1 


.358 


.965 


9 


.990 


.692 


.017 


1 


.337 


.992 




1 


.951 


.779 


10 


.563 


.929 


8 


.998 


.615 


.018 


2 


.053 


.999 


.060 


4 


.051 


.999 


9 


.764 


.870 .700 17 


.047 


.998 




1 


.357 


.990 




3 


.1 50 


.996 


8 


.908 


.791 


16 


.137 


.991 


.019 


2 


.058 


.999 




2 


.425 


.974 


7 


.977 


.698 


15 


.295 


.976 




1 


.376 


.989 




1 


.94? 


.761 


6 


.997 


.600 


14 


.503 


.948 


.020 


2 


.064 


.999 


.062 


4 


.055 


.999 


15 


.015 


.999 


13 


.710 


.905 




1 


.395 


.988 




3 


.141 


.996 


14 


.048 


.997 


12 


.866 


.649 


.021 


2 


.070 


.999 




2 


.447 


.971 


13 


.120 


.992 


1 1 


.953 


.783 




1 


.415 


.986 




1 


.95? 


.742 


12 


.248 


.979 


10 


.988 


.714 


.022 


2 


.077 


.999 


.064 


4 


.058 


.999 


1 1 


.432 


.954 


9 


.998 


.643 




1 


.434 


.984 




3 


.15? 


.995 


1 


.641 


.911 .750 18 


.031 


.999 


.023 


2 


.083 


.999 




2 


.469 


.968 


9 


.824 


.846 


17 


.113 


.993 




1 


.453 


.982 




1 


.961 


.724 


8 


.939 


.764 


16 


.272 


.980 


.024 


2 


.090 


.999 


.066 


4 


.04? 


.999 


7 


.987 


.672 


15 


.487 


.954 




1 


.471 


.980 




3 


.163 


.994 


6 


.998 


.577 


14 


.703 


.913 


.025 


2 


.097 


.998 




2 


.490 


.965 


15 


.023 


.999 


13 


.864 


.859 




1 


.490 


.978 




] 


.968 


.706 


14 


.069 


.996 


12 


.952 


.796 


.026 


2 


. 1 04 


.998 


.068 


4 


.047 


.999 


13 


.161 


.988 


1 1 


.988 


.733 




1 


.509 


.976 




3 


.175 


.994 


12 


.31 1 


.972 


10 


.998 


.667 


.026 


2 


.118 


.998 




2 


.51? 


.961 


1 1 


.509 


.941 .800 19 


.014 


.999 




1 


.545 


.971 




1 


.974 


.689 


10 


.713 


.891 


18 


.084 


.996 


.030 


2 


.1 34 


.997 


.070 


4 


.051 


.999 


9 


.873 


.821 


17 


.242 


.984 




1 


.581 


.965 




3 


.187 


.993 


8 


.961 


.738 


16 


.470 


.959 


.032 


2 


.150 


.997 




2 


.554 


.957 


7 


.993 


.648 


15 


.700 


.920 




1 


.615 


.95P 




1 


.979 


.671 


6 


.999 


.556 


14 


.867 


.869 


.034 


2 


.lo7 


.996 


.075 


4 


.064 


.998 


15 


.035 


.998 


13 


.955 


.81 1 




1 


.649 


.950 




3 


.219 


.991 


14 


.095 


.994 


12 


.989 


.750 


.036 


3 


.036 


.999 




2 


.58-' 


.946 


13 


.209 


.984 


1 1 


.998 


.687 




2 


. 1 64 


.995 




1 


.98« 


.630 


12 


.381 


.963 .850 19 


.046 


.998 




1 


.682 


.941 


.080 


4 


.078 


.998 


1 1 


.586 


.926 


18 


.201 


.988 


.'^38 


3 


.041 


.999 




3 


.253 


.988 


10 


.778 


.869 


17 


.451 


.965 




2 


.202 


.994 




2 


.65^1 


.932 


9 


.912 


.796 


16 


.703 


.927 




1 


.713 


.931 




1 


.99^ 


.593 



27 



FINITE QUEUING TABLES 
X M D F X 



,085 5 .025 .999 

4 .094 .997 

3 .288 .985 
2 .687 .917 
1 .996 .559 

.090 5 .031 .999 

4 .112 .996 



.095 



.100 



.105 



.110 



.115 



.120 



.125 



.130 



.135 



.140 



.145 



3 


.325 


.981 


2 


.733 


.900 


1 


.998 


.529 


5 


.039 


.999 


4 


.131 


.995 


3 


.364 


.976 


2 


.776 


.881 


1 


.999 


.501 


5 


.047 


.999 


4 


.153 


.994 


3 


.403 


.971 


2 


.814 


.860 


1 


.999 


.476 


5 


.057 


.998 


4 


.175 


.992 


3 


.443 


.965 


2 


.848 


.838 


5 


.067 


.998 


4 


.200 


.990 


3 


.484 


.958 


2 


.878 


.815 


6 


.023 


.999 


5 


.079 


.997 


4 


.226 


.988 


3 


.524 


.950 


2 


.903 


.791 


6 


.028 


.999 


5 


.092 


.996 


4 


.253 


.985 


3 


.564 


.941 


2 


.924 


.767 


6 


.034 


.999 


5 


.107 


.996 


4 


.282 


.983 


3 


.604 


.931 


2 


.941 


.743 


6 


.040 


.999 


5 


.123 


.995 


4 


.312 


.979 


3 


.642 


.921 


2 


.955 


.719 


6 


.047 


.998 


5 


.140 


.993 


4 


.342 


.975 


3 


.679 


.909 


2 


.966 


.696 


6 


.055 


.998 


5 


.158 


.992 


4 


.374 


.971 


3 


.714 


.896 


2 


.975 


.674 


7 


.020 


.999 


6 


.064 


.998 


5 


.177 


.991 


4 


.406 


.966 


3 


.747 


.883 



.145 
.150 



155 



.160 



1 165 



.170 



.180 



190 



.200 



,210 



,220 



2 .981 .652 
7 .023 .999 



6 


.074 


.997 


5 


.198 


.989 


4 


.439 


.961 


3 


.778 


.866 


2 


.986 


.632 


7 


.028 


.999 


6 


.085 


.996 


5 


.220 


.987 


4 


.473 


.955 


3 


.807 


.853 


2 


.990 


.612 


7 


.033 


.999 


6 


.097 


.996 


5 


.243 


.985 


4 


.506 


.949 


3 


.334 


.837 


2 


.993 


.594 


7 


.038 


.999 



6.110 .995 



5 


.267 


.982 


4 


.539 


.941 


3 


.857 


.821 


2 


.995 


.576 


7 


.044 


.998 


6 


.124 


.994 


5 


.292 


.979 


4 


.572 


.934 


3 


.879 


.805 


2 


.996 


.560 


8 


.019 


.999 


7 


.059 


.998 


6 


.155 


.992 


5 


.344 


.973 


4 


.636 


.916 


3 


.914 


.772 


2 


.998 


.529 


8 


.026 


.999 


7 


.076 


.997 


6 


.189 


.989 


5 


.400 


.964 


4 


.696 


.897 


3 


.941 


.739 


2 


.999 


.501 


8 


.034 


.999 


7 


.096 


.995 


6 


.228 


.985 


5 


.457 


.955 


4 


.752 


.875 


3 


.961 


.706 


8 


.045 


.996 


7 


.120 


.994 


6 


.270 


.980 


5 


.514 


.943 


4 


.801 


.851 


3 


.974 


.676 


9 


.020 


.999 


8 


.058 


.997 


7 


.147 


.992 


6 


.315 


.975 


5 


.572 


.930 


4 


.344 


.827 



.220 
.230 



.240 



.250 



,260 



.270 



.280 



.290 



.300 



POPULATION 21 - 21 
F X M D F 



3 .983 .647 
9 .026 .999 
8 .074 .996 
7 .177 .989 
6 .363 .968 
5 .627 .915 

4 .8d0 .801 



3 


.990 


.620 


9 


.034 


.999 


8 


.092 


.995 


7 


.21 1 


.986 


6 


.413 


.960 


5 


.680 


.899 


4 


.910 


.775 


3 


.994 


.594 


10 


.015 


.999 


9 


.044 


.998 


8 


.113 


.994 


7 


.248 


.982 


6 


.465 


.951 


5 


.730 


.881 


4 


.933 


.750 


3 


.996 


.571 


10 


.019 


.999 


9 


.056 


.997 


8 


.137 


.992 


7 


.288 


.977 


6 


.516 


.941 


5 


.776 


.862 


4 


.951 


.725 


3 


.998 


.549 


10 


.025 


.999 


9 


.069 


.997 


8 


.164 


.990 


7 


.330 


.971 


6 


.568 


.929 


5 


.816 


.842 


4 


.965 


.700 


3 


.999 


.529 


10 


.032 


.999 


9 


.086 


.995 


8 


.193 


.987 


7 


.375 


.965 


6 


.618 


.916 


5 


.852 


.821 


4 


.976 


.677 


3 


.999 


.510 


1 1 


.014 


.999 


10 


.041 


.99B 



9 .104 .994 

8 .226 .983 

7 .421 .957 

6 .667 .902 

5 .882 .800 

4 .983 .655 

3 .999 .493 



11 .013 .999 

10 .051 .998 

9 .125 .992 

8 .261 .979 

7 .468 .949 

6 .712 .886 

5 .908 .778 



.300 



.320 



.330 



.340 



.360 



.380 



.400 



4 .988 .634 



.310 11 .023 .999 



10 


.064 


.997 


9 


.149 


.990 


8 


.299 


.975 


7 


.516 


.939 


6 


.755 


.870 


5 


.929 


.757 


4 


.99? 


.614 


1 1 


.029 


.999 


10 


.07fl 


.996 


9 


.17S 


.988 


8 


.35Q 


.969 


7 


.563 


.929 



6 .794 .853 

5 .946 .737 

4 .995 .595 

11 .057 .998 

10 ,09u .995 

9 .204 .985 

8 .381 .963 



7 


.610 


.917 


6 


.629 


.835 


5 


.960 


.716 


4 


.997 


.577 


12 


.016 


.999 


1 1 


.046 


.998 


10 


.11-^ 


.993 


9 


.256 


.982 


8 


.424 


.956 


7 


.655 


.905 


6 


.860 


.818 


5 


.970 


.b97 


4 


.99P 


.560 


12 


.C26 


.999 


1 1 


.069 


.996 


10 


.157 


.989 


9 


.306 


.973 


8 


.51^ 


.939 


7 


.750 


.877 


6 


.909 


.781 


5 


.984 


.b60 


u 


.999 


.529 


13 


.014 


.99^ 


12 


.040 


.998 


1 1 


.100 


.994 


10 


.21 1 


.984 


9 


.384 


.962 


8 


.601 


.919 


7 


.81-^ 


.847 


6 


.94U 


.745 


5 


.99P 


.626 


13 


.02? 


.999 


12 


.060 


.997 


1 1 


.1 59 


.991 


10 


.274 


.977 



.420 



9 .467 .948 

8 .685 .896 

7 .86« .816 

6 .967 .711 

5 .996 .595 

13 .054 .998 

12 .086 .995 



28 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION 21 - 22 



M 







.420 



,440 



11 .1 87 .986 

10 .346 .968 

9 .552 .931 

8 .761 .870 

7 .912 .784 

6 .981 .679 

5 .998 .567 



14 .018 .999 

13 .051 .997 

12 .121 .992 

11 .244 .980 

10 .424 .956 

9 .635 .912 

8 .825 .843 



,540 



.560 



9 .924 .788 

8 .980 .704 

7 .997 .617 

16 .024 .999 

15 .069 .996 

14 .159 .989 

13 .305 .974 



12 .496 .945 

11 .696 .900 

10 .857 .837 

9 .951 .762 

8 .989 .680 

7 .998 .595 



.750 
.000 



.850 



.580 16 .036 .998 



10 .999 .635 

19 .070 .997 

18 .210 .987 

17 .425 .966 

16 .655 .932 

15 .835 .885 

14 .938 .831 



13 .9d3 .773 

12 .996 .714 

11 .999 .655 

20 .039 .998 

19 .177 .990 

18 .413 .970 

17 .666 .936 



.026 



.026 



.030 



.032 



.034 



.036 



2 


.113 


.998 


1 


.553 


.974 


2 


.129 


.998 


1 


.571 


.963 


2 


.146 


.997 


1 


.60^^ 


.961 


2 


.163 


.996 


1 


.644 


.953 


3 


.055 


.999 


2 


.18? 


.995 


1 


.67P 


.944 


3 


.04 1 


.999 


2 


.200 


.995 



1 .711 .934 



.460 



7 .944 .752 

6 .990 .649 

5 .999 .541 

14 .028 .999 

13 .073 .996 

.163 .988 

.310 .972 



12 
1 1 



15 .096 .994 

14 .208 .984 

13 .376 .965 

12 .576 .931 

11 .765 .879 

10 .900 .813 

9 .970 .737 



.900 



16 


.852 


.891 


.038 


3 


.047 


.999 


15 


.950 


.839 




2 


.220 


.994 


14 


.987 


.784 




1 


.74^ 


.923 


13 


.998 


.728 


.040 


3 


.05U 


.999 


20 


.122 


.995 




2 


.240 


.992 


19 


.396 


.976 




1 


.773 


.911 


18 


.686 


.942 


.042 


3 


.061 


.999 



.480 



10 .505 .941 

9 .713 .889 

.877 .814 

.966 .722 

.995 .621 

.014 .999 

.041 .998 



8 

7 

6 

15 

14 



8 .994 .657 

7 .999 .575 

.600 17 .016 .999 

16 .052 .997 

15 .131 .991 

14 .267 .979 

13 .452 .954 



.950 



17 .881 .896 
16 .966 .846 
15 .993 .794 
14 .999 .741 
20 .358 .983 
19 .741 .947 

18 .930 .901 



.044 



.046 



2 .260 .991 

1 .801 .897 

3 .069 .999 

2 .281 .990 

1 .827 .882 

3 .077 .998 

2 .30? .988 



13 
12 

1 1 

10 

9 

8 

7 



.103 
.215 
.383 
.587 
.782 
.917 
.980 



.994 
.983 
.962 
.924 
.865 
.786 
.693 



.650 



12 .654 .914 

11 .825 .858 

10 .933 .789 

9 .982 .713 

8 .997 .635 

18 .012 .999 

17 .045 .998 



17 .987 .852 
16 .998 .802 



.048 



.050 



1 


.851 


.866 


3 


.085 


.998 


2 


.32U 


.986 


1 


.873 


.849 


3 


.094 


.998 


2 


.346 


.984 



1 .89? .832 



.500 



,520 



6 
15 
14 
13 
12 
1 1 
10 



.997 
.021 
.060 
.140 
.275 
,461 
,666 



.595 
.999 
.997 
.991 
.977 
.950 
.905 



.840 .840 

.947 .757 

.989 .666 

.999 .571 

.032 .998 

14 .086 .995 

13 .187 .986 



,700 



16 


.123 


.992 


POPULATION 


22 


15 


.259 


.980 










14 


.447 


.956 


.005 


1 


.105 


.999 


13 


.650 


.918 


.008 


1 


.168 


.998 


12 


.821 


.865 


.010 


1 


.209 


.997 


1 1 


.930 


.802 


.012 


1 


.251 


.996 


10 


.980 


.732 


.013 


1 


.272 


.995 


9 


.996 


.659 


.014 


1 


.292 


.994 


8 


.999 


.586 


.015 


1 


.313 


.993 


18 


.036 


.995 


.016 


1 


.334 


.992 


17 


.110 


.994 


.017 


2 


.052 


.999 


16 


.248 


.982 




1 


.354 


.991 


15 


.440 


.959 


.018 


2 


.058 


.999 


14 


.649 


.923 




1 


.374 


.990 



.052 



,054 



.056 



.058 



3 


.104 


.997 


2 


.36P 


.982 


1 


.909 


.813 


3 


.1 m 


.997 


2 


.391 


.980 


1 


.925 


.794 


4 


.029 


.999 


3 


. 12"= 


.997 


2 


.41 ^ 


.977 


1 


.959 


.775 


4 


.05^ 


.999 


3 


.1 55 


.996 


2 


.456 


.974 



1 .949 .755 



.540 



12 .343 .968 

11 .541 .936 

.739 .884 

.888 .814 

.967 .730 

.994 .641 

.999 .549 



10 
9 
8 
7 
6 



16 .016 .999 

15 .048 .997 

14 .118 .992 

13 .242 .981 

12 .418 .958 

1 1 .620 .919 

10 .803 .861 



13 .821 .873 .ni9 

12 .929 .813 

11 .979 .747 .020 

10 .996 .680 

9 .999 .612 .021 

,750 19 .024 ,999 

18 .093 .995 .022 



17 .232 .984 

16 .433 .962 .023 

15 .650 .927 

14 .825 .379 .024 

13 .932 .822 

12 .980 .761 .025 

11 .996 .698 



2 .064 .999 
1 .395 .988 



2 


.070 


.999 


1 


.415 


.987 


2 


.077 


.999 


1 


.435 


.985 


2 


.084 


.999 


1 


.455 


.983 


2 


.091 


.999 


1 


.475 


.981 


2 


.098 


.998 


1 


.494 


.979 


2 


.106 


.998 


1 


.514 


.976 



.060 



.062 



,064 



,066 



4 


.057 


.999 


3 


.147 


.995 


2 


.459 


.971 


1 


.959 


.736 


4 


.04 1 


.999 


3 


.159 


.995 


2 


.48? 


.968 


1 


.967 


.717 


4 


.C45 


.999 


3 


.171 


.994 


2 


.505 


.964 


1 


.973 


.698 


4 


.050 


.999 


3 


.183 


.993 



29 



FINITE QUEUING TABLES 



POPULATION 22 



22 



.066 



.068 



.070 



,075 



,080 



,085 



,090 



,095 



,100 



105 



1 10 



1 15 



120 



125 



130 



2 


.527 


.960 


.130 


5 


.146 


.993 


.190 


4 


.752 


.878 


.280 9 


.115 


.993 


1 


.979 


.679 




4 


.354 


.975 




3 


.962 


.710 


8 


.243 


.982 


4 


.055 


.999 




3 


.692 


.907 


.200 


8 


.047 


.998 


7 


.44-^ 


.955 


3 


.196 


.993 




2 


.971 


.691 




7 


.122 


.994 


6 


.689 


.897 


2 


.550 


.956 


.135 


6 


.059 


.998 




6 


.273 


.981 


5 


.896 


.793 


1 


.983 


.662 




5 


.166 


.992 




5 


.517 


.944 


4 


.986 


.648 


4 


.060 


.998 




4 


.337 


.970 




4 


.804 


.854 


.290 11 


.02? 


.999 


3 


.210 


.992 




3 


.729 


.894 




3 


.976 


.677 


10 


.059 


.997 


2 


.572 


.951 




2 


.979 


.666 


.210 


9 


.021 


.999 


9 


.1 59 


.992 


1 


.987 


.644 


.140 


7 


.022 


.999 




8 


.061 


.997 


8 


.28? 


.978 


4 


.075 


.998 




6 


.069 


.997 




7 


.151 


.992 


7 


.493 


.946 


3 


.245 


.989 




5 


.187 


.990 




6 


.321 


.975 


6 


.755 


.881 


2 


.627 


.938 




4 


.422 


.965 




5 


.577 


.931 


5 


.920 


.771 


1 


.993 


.604 




3 


.763 


.879 




4 


.849 


.828 


4 


.991 


.626 


5 


.024 


.999 




2 


.985 


.64o 




3 


.985 


.647 


.300 11 


.02R 


.999 


4 


.092 


.997 


.145 


7 


.026 


.999 


.220 


9 


.028 


.999 


10 


.07^ 


.996 


3 


.282 


.986 




6 


.080 


.997 




8 


.077 


.996 


9 


.165 


.989 


2 


.680 


.922 




5 


.209 


.988 




7 


.183 


.989 


8 


.323 


.972 


1 


.996 


.567 




4 


.456 


.960 




6 


.371 


.968 


7 


.543 


.935 


5 


.031 


.999 




3 


.795 


.864 




5 


.636 


.915 


6 


.778 


.863 


4 


.1 10 


.996 




2 


.989 


.625 




4 


.886 


.801 


5 


.94n 


.749 


3 


.321 


.982 


.150 


7 


.031 


.999 




3 


.991 


.619 


4 


.994 


.605 


2 


.729 


.905 




6 


.092 


.996 


.230 


9 


.037 


.999 


.310 11 


.056 


.998 


1 


.998 


.534 




5 


.233 


.986 




8 


.097 


.995 


10 


.090 


.995 


5 


.038 


.999 




4 


.492 


.953 




7 


.219 


.985 


9 


.195 


.987 


4 


.130 


.995 




3 


.824 


.848 




6 


.424 


.960 


8 


.366 


.966 


3 


.361 


.978 




2 


.992 


.605 




5 


.691 


.898 


7 


.59? 


.924 


2 


.774 


.885 


.155 


7 


.036 


.999 




4 


.916 


.774 


6 


.816 


.845 


1 


.999 


.505 




6 


.105 


.995 




3 


.995 


.592 


5 


.956 


.727 


5 


.047 


.999 




5 


.258 


.984 


.240 


10 


.016 


.999 


4 


.996 


.586 


4 


.153 


.994 




4 


.527 


.946 




9 


.048 


.998 


.320 12 


.016 


.999 


3 


.403 


.972 




3 


.850 


.831 




8 


.120 


.993 


1 1 


.045 


.998 


2 


.815 


.864 




2 


.995 


.586 




7 


.259 


.981 


10 


.108 


.994 


1 


.999 


.478 


.160 


7 


.043 


.998 




6 


.478 


.950 


9 


.227 


.983 


5 


.057 


.998 




6 


.120 


.994 




5 


.743 


.879 


8 


.41 1 


.959 


4 


.177 


.992 




5 


.284 


.981 




4 


.940 


.747 


7 


.640 


.911 


3 


.445 


.966 




4 


.561 


.938 




3 


.997 


.568 


6 


.850 


.827 


2 


.851 


.841 




3 


.874 


.814 


.250 


10 


.022 


.999 


5 


.968 


.706 


5 


.069 


.998 




2 


.996 


.566 




9 


.061 


.997 


4 


.998 


.568 


4 


.202 


.990 


.165 


7 


.050 


.998 




8 


.146 


.991 


.330 12 


.020 


.999 


3 


.488 


.959 




6 


.135 


.993 




7 


.301 


.976 


1 1 


.056 


.997 


2 


.882 


.816 




5 


.31 1 


.978 




6 


.533 


.939 


10 


.1 50 


.992 


6 


.024 


.999 




4 


.596 


.930 




5 


.789 


.859 


9 


.26? 


.979 


5 


.081 


.997 




3 


.894 


.796 




4 


.957 


.720 


8 


.457 


.952 


4 


.230 


.988 




2 


.997 


.551 




3 


.998 


.545 


7 


.686 


.897 


3 


.530 


.951 


.170 


8 


.019 


.999 


.260 


10 


.029 


.999 


6 


.880 


.807 


2 


.908 


.791 




7 


.057 


.996 




9 


.076 


.996 


5 


.977 


.686 


6 


.029 


.999 




6 


.152 


.992 




8 


.175 


.989 


4 


.998 


.551 


5 


.095 


.996 




5 


.339 


.974 




7 


.347 


.970 


.340 12 


.026 


.999 


4 


.259 


.986 




4 


.629 


.921 




6 


.587 


.926 


11 


.068 


.996 


3 


.572 


.942 




3 


.913 


.779 




5 


.831 


.837 


10 


.154 


.990 


2 


.929 


.766 




2 


.998 


.534 




4 


.970 


.695 


9 


.299 


.975 


6 


.035 


.999 


.180 


8 


.026 


.999 




3 


.999 


.524 


8 


.503 


.943 


5 


.1 1 1 


.996 




7 


.075 


.997 


.270 


10 


.037 


.998 


7 


.729 


.883 


4 


.289 


.982 




6 


.188 


.989 




9 


.094 


.995 


6 


.905 


.788 


3 


.614 


.931 




5 


.396 


.966 




8 


.208 


.986 


5 


.984 


.667 


2 


.947 


.741 




4 


.694 


.901 




7 


.394 


.963 


4 


.999 


.535 


6 


.043 


.999 




3 


.941 


.744 




6 


.639 


.912 


.360 13 


.015 


.999 


5 


.128 


.995 




2 


.999 


.505 




5 


.866 


.815 


12 


.04 1 


.998 


4 


.321 


.979 


.190 


8 


.035 


.999 




4 


.980 


.671 


1 1 


.100 


.994 


3 


.654 


.920 




7 


.097 


.995 




3 


.999 


.505 


10 


.210 


.985 


2 


.960 


.716 




6 


.228 


.985 


.280 


1 1 


.016 


.999 


9 


.380 


.964 


6 


.050 


.998 




5 


.456 


.956 




10 


.047 


.998 


8 


.596 


.92? 



30 



FINITE QUEUING TABLES 
X M D F X 



.360 



,380 



,400 



.420 



.440 



.460 



.480 



.500 



7 


.806 


.852 


6 


.943 


.751 


5 


.992 


.631 


13 


.024 


.999 


12 


.063 


.997 


1 1 


.141 


.991 


10 


.276 


.977 


9 


.467 


.949 


8 


.684 


.898 


7 


.867 


.819 


6 


.967 


.714 


5 


.996 


.598 


14 


.013 


.999 


13 


.037 


.998 


12 


.091 


.995 


1 1 


.192 


.986 


10 


.351 


.968 


9 


.556 


.932 


8 


.763 


.872 


7 


.914 


.785 


6 


.982 


.680 


5 


.998 


.568 


14 


.021 


.999 


13 


.056 


.997 


12 


.128 


.992 


1 1 


.253 


.980 


10 


.433 


.955 


9 


.642 


.91 1 


8 


.830 


.843 


7 


.947 


.752 


6 


.991 


.649 


5 


.999 


.541 


14 


.032 


.998 


13 


.081 


.995 


12 


.175 


.988 


1 1 


.323 


.971 


10 


.518 


.940 


9 


.722 


.888 


8 


.883 


.813 


7 


.968 


.720 


6 


.995 


.620 


15 


.017 


.999 


14 


.048 


.998 


13 


.114 


.993 


12 


.230 


.982 


1 1 


.400 


.961 


10 


.602 


.922 


9 


.793 


.863 


8 


.923 


.783 


7 


.982 


.690 


6 


.998 


.593 


15 


.027 


.999 


14 


.071 


.996 


13 


.156 


.989 


12 


.295 


.975 


1 1 


.481 


.947 


10 


.683 


.902 


9 


.851 


.836 


8 


.952 


.753 


7 


.990 


.662 


6 


.999 


.568 


16 


.014 


.999 


15 


.041 


.998 



.500 



.520 



.540 



.560 



.580 



.600 



.650 



M D F 

14 .100 .994 

13 .208 .985 

12 .368 .966 

11 .564 .932 

10 .756 .879 

9 .898 .809 

8 .971 .725 



7 .995 .636 

16 .021 .999 

15 .060 .997 

14 .138 .991 

13 .268 .978 

12 .446 .954 

11 .646 .914 



10 .820 .855 

9 .933 .781 

8 .983 .698 

7 .998 .612 

16 .033 .998 

15 .086 .995 

14 .184 .987 



13 


.336 


.970 


12 


.528 


.940 


1 1 


.721 


.893 


10 


.872 


.830 


9 


.958 


.755 


8 


.991 


.673 


7 


.999 


.589 


17 


.016 


.999 


16 


.049 


.997 


15 


.119 


.993 


14 


.240 


.982 


13 


.412 


.960 


12 


.609 


.924 


1 1 


.789 


.872 



10 .913 .805 

9 .975 .729 

8 .995 .649 

7 .999 .568 

17 .025 .999 

16 .071 .996 

15 .161 .939 



14 .305 

13 .492 

12 .687 

11 .846 

10 .943 

9 .985 

8 .998 



17 .038 

16 .100 

15 .212 

14 .378 

13 .574 

12 .758 

11 .393 



.974 
.946 
.906 
.849 
.780 
.705 
.627 



.996 
.994 
.985 
.966 
.934 
.886 
.825 



10 .965 .756 



9 
8 
18 
17 
16 
15 



.992 
.999 
.034 
.095 
.21 1 
.381 



.681 
.606 
.998 
.995 
.985 
.966 



.650 



.700 



.750 



.800 



.850 



.900 



.950 









POPULATION 


22 ■ 


- 23 


M 


D 


F 


X 


M 


D 


F 


14 


.579 


.935 


.014 


1 


.306 


.994 


13 


.763 


.890 


.015 


1 


.328 


.993 


12 


.894 


.832 


.016 


1 


.349 


.992 


1 1 


.964 


.767 


.017 


2 


.057 


.999 


10 


.991 


.699 




1 


.371 


.990 


9 


.999 


.629 


.018 


2 


.063 


.999 


19 


.027 


.999 




1 


.392 


.989 


18 


.088 


.995 


.019 


2 


.070 


.999 


17 


.206 


.986 




1 


.41 3 


.987 


16 


.363 


.968 


.020 


2 


.077 


.999 


15 


.587 


.937 




1 


.454 


.986 


14 


.771 


.893 


.021 


2 


.084 


.999 


13 


.899 


.839 




1 


.455 


.984 


12 


.966 


.778 


.022 


2 


.091 


.999 


1 1 


.991 


.714 




1 


.476 


.982 


10 


.998 


.649 


.023 


2 


.09O 


.999 


20 


.019 


.999 




1 


.496 


.979 


19 


.076 


.996 


.024 


2 


.107 


.998 


18 


.197 


.987 




1 


.517 


.977 


17 


.383 


.969 


.025 


2 


.115 


.998 


16 


.596 


.939 




1 


.557 


.974 


15 


.783 


.896 


.026 


2 


.123 


.998 


14 


.907 


.844 




1 


.557 


.971 


13 


.969 


.787 


.028 


2 


.141 


.997 


12 


.992 


.727 




1 


.596 


.965 


1 1 


.999 


.667 


.030 


2 


.159 


.997 


20 


.058 


.997 




1 


.654 


.957 


19 


.162 


.969 


.032 


2 


.178 


.996 


13 


.382 


.972 




1 


.671 


.948 


17 


.609 


.941 


.034 


3 


.040 


.999 


16 


.800 


.899 




2 


.197 


.995 


15 


.919 


.849 




1 


.706 


.938 


14 


.975 


.795 


.036 


3 


.046 


.999 


13 


.994 


.738 




2 


.217 


.994 


12 


.999 


.682 




1 


.740 


.927 


21 


.033 


.999 


.038 


3 


.053 


.999 


20 


.156 


.992 




2 


.258 


.993 


19 


.378 


.975 




1 


.772 


.914 


18 


.628 


.944 


.040 


3 


.061 


.999 


17 


.825 


.903 




2 


.260 


.992 


16 


.936 


.854 




1 


.801 


.900 


15 


.962 


.802 


.042 


3 


.069 


.999 


14 


.996 


.749 




2 


.282 


.990 


13 


.999 


.695 




1 


.829 


.885 


21 


.109 


.995 


.044 


3 


.077 


.998 


20 


.368 


.979 




2 


.304 


.988 


19 


.659 


.948 




1 


.854 


.868 


18 


.862 


.906 


.046 


3 


.087 


.998 


17 


.958 


.858 




2 


.327 


.987 



16 .990 .808 
15 .998 .758 
21 .341 .985 
20 .722 .951 
19 .921 .908 
18 .984 .861 

17 .998 .813 



POPULATION 



.005 
.008 
.010 
.012 
.013 



23 

.110 .999 

.176 .998 

.219 .997 

.2fo3 .996 

.265 .995 



.048 



,050 



.052 



.054 



1 .877 .851 
3 .096 .998 

2 .350 .985 

1 .897 .832 

3 .106 .997 

2 .373 .982 
1 .915 .812 



3 


.117 


.997 


2 


.397 


.980 


1 


.950 


.792 


4 


.051 


.999 


3 


.12=* 


.997 


2 


.421 


.977 



1 .943 .772 



31 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 23 - 23 

F X M D F 



.056 



.058 



.060 



.062 



.064 



.066 



.068 



.070 



.075 



,080 



.085 



.090 



,095 



100 



105 



,110 



4 


.034 


.999 


3 


.140 


.996 


2 


.445 


.974 


1 


.954 


.751 


4 


.039 


.999 


3 


.152 


.995 


2 


.469 


.971 


1 


.964 


.731 


4 


.043 


,999 


3 


.164 


.995 


2 


.493 


.967 


1 


.971 


.71 1 


4 


.048 


.999 


3 


.177 


.994 


2 


.517 


.963 


1 


.978 


.691 


4 


.053 


.999 


3 


.191 


.993 


2 


.541 


.959 


1 


.983 


.672 


4 


.059 


.999 


3 


.205 


.992 


2 


.564 


.954 


1 


.987 


.653 


4 


.064 


.998 


3 


.219 


.991 


2 


.588 


.949 


1 


.990 


.635 


4 


.070 


.998 


3 


.234 


.990 


2 


.61 1 


.944 


1 


.992 


.618 


4 


.087 


.998 


3 


.272 


.987 


2 


.667 


.929 


1 


.996 


.578 


5 


.029 


.999 


4 


.106 


.997 


3 


.313 


.984 


2 


.720 


.912 


5 


.037 


.999 


4 


.127 


.996 


3 


.355 


.979 


2 


.768 


.892 


5 


.046 


.999 


4 


.150 


.994 


3 


.398 


.974 


2 


.812 


.870 


5 


.057 


.998 


4 


.175 


.993 


3 


.442 


.968 


2 


.851 


.846 


5 


.069 


.998 


4 


.202 


.991 


3 


.487 


.961 


2 


.883 


.820 


6 


.024 


.999 


5 


.082 


.997 


4 


.231 


.989 


3 


.532 


.952 


2 


.91 1 


.794 


6 


.030 


.999 


5 


.097 


.997 



.1 10 



115 



,120 



.125 



.130 



.135 



.140 



145 



150 



155 



.160 



4 


.262 


.986 


3 


.577 


.943 


2 


.933 


.767 


6 


.037 


.999 


5 


.114 


.996 


4 


.294 


.983 


3 


.620 


.932 


2 


.951 


.740 


6 


.044 


.999 


5 


.132 


.995 


4 


.327 


.979 


3 


.662 


.920 


2 


.964 


.714 


6 


.053 


.998 


5 


.151 


.993 


4 


.362 


.975 


3 


.702 


.907 


2 


.974 


.689 


7 


.019 


.999 


6 


.063 


.998 


5 


.172 


.992 


4 


.397 


.970 


3 


.740 


.892 


2 


.982 


.664 


7 


.023 


.999 


6 


.073 


.997 


5 


.195 


.990 


4 


.434 


.965 


3 


.776 


.877 


2 


.987 


.641 


7 


.028 


.999 


6 


.085 


.997 


5 


.219 


.988 


4 


.470 


.959 


3 


.808 


.861 



2 .991 .619 



165 



7 


.034 


.999 


6 


.098 


.996 


5 


.244 


.986 


4 


.507 


.952 


3 


.837 


.844 


2 


.994 


.599 


7 


.040 


.999 


6 


.113 


.995 


5 


.271 


.983 


4 


.544 


.944 


3 


.864 


.826 


2 


.996 


.579 


7 


.047 


.998 


6 


.128 


.994 


5 


.298 


.980 


4 


.580 


.936 


3 


.887 


.808 


2 


.997 


.561 


8 


.018 


.999 


7 


.055 


.998 


6 


.145 


.993 


5 


.327 


.977 


4 


.616 


.927 


3 


.907 


.789 


2 


.998 


.543 


8 


.021 


.999 


7 


.063 


.998 



165 6 .163 .992 

5 .357 .973 

4 .651 .917 

3 .924 .771 

2 .999 .527 

.170 8 .025 .999 

7 .073 .997 



6 .182 .990 
5 .387 .969 
4 .685 .907 
3 .939 .753 
2 .999 .51 1 

.180 8 .035 .999 

7 .095 .996 



190 



.200 



.210 



.220 



.230 



.240 



6 


.224 


.986 


5 


.450 


.959 


4 


.747 


.883 


3 


.961 


.716 


8 


.047 


.998 


7 


.121 


.994 


6 


.271 


.982 


5 


.514 


.947 


4 


.803 


.858 


3 


.976 


.682 


9 


.021 


.999 


8 


.O&l 


.997 


7 


.151 


.992 


6 


.321 


.976 


5 


.578 


.933 


4 


.850 


.831 


3 


.986 


.650 


9 


.029 


.999 


8 


.079 


.996 


7 


.186 


.989 


6 


.374 


.969 



5 .639 .917 



.250 



4 


.889 


.803 


3 


.992 


.620 


9 


.039 


.998 


8 


.100 


.995 


7 


.224 


.985 


6 


.430 


.960 


5 


.697 


.899 


4 


.920 


.774 


3 


.995 


.592 


10 


.018 


.999 


9 


.051 


.998 


8 


.125 


.993 


7 


.265 


.981 


6 


.486 


.950 


5 


.751 


.879 


4 


.944 


.746 


3 


.997 


.567 


10 


.024 


.999 


9 


.065 


.997 


8 


.153 


.991 


7 


.31 1 


.976 


6 


.544 


.938 


5 


.799 


.858 


4 


.961 


.718 


3 


.999 


.543 


10 


.031 


.999 


9 


.082 


.996 



.280 



.290 



.300 



.310 



.320 



8 .184 .988 



7 


.359 


.969 


6 


.600 


.925 


5 


.84 1 


.835 


4 


.974 


.692 


3 


.999 


.522 



.250 



.260 10 .041 .998 



9 .105 .995 

8 .219 .985 

7 .409 .962 

6 .654 .910 

5 .876 .812 

4 .983 .667 

.270 11 .019 .999 



10 


.05? 


.998 


9 


.125 


.993 


8 


.257 


.981 


7 


.461 


.953 


6 


.705 


.894 


5 


.906 


.789 


4 


.989 


.643 


1 1 


.025 


.999 


10 


.066 


.997 


9 


.150 


.991 


8 


.299 


.976 


7 


.51-^ 


.943 


6 


.75"^ 


.877 


5 


.950 


.765 


4 


.993 


.620 


1 1 


.032 


.999 


10 


.08? 


.996 


9 


.180 


.988 


8 


.34? 


.971 


7 


.565 


.932 


6 


.796 


.858 


5 


.94R 


.742 


4 


.995 


.599 


12 


.015 


.999 


1 1 


.04 1 


.998 


10 


.100 


.995 


9 


.212 


.985 



8 .388 .964 



7 


.616 


.920 


6 


.854 


.839 


5 


.963 


.720 


4 


.997 


.579 


12 


.019 


.999 


1 1 


.052 


.998 


10 


.12? 


.993 


9 


.247 


.982 


8 


.436 


.956 


7 


.665 


.906 


6 


.868 


.819 


5 


.974 


.698 


4 


.998 


.561 


12 


.025 


.999 



11 .065 .997 

10 .146 .991 

9 .285 .977 

8 .485 .948 

7 .71? .891 

6 .896 .799 

5 .982 .677 



32 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 25 - 24 
F X M D F 



,320 
,330 



,340 



,360 



,380 



U .999 .543 

1? .032 .999 

1 1 .080 .996 

10 .173 .989 

9 .326 .972 

8 .534 .938 

7 .755 .876 



6 


.919 


.779 


5 


.987 


.657 


4 


.999 


.527 


13 


.014 


.999 


12 


.040 


.998 


1 1 


.097 


.995 


10 


.203 


.986 


9 


.368 


.966 


8 


.582 


.927 


7 


.795 


.859 


6 


.938 


.759 


5 


.991 


.639 


13 


.024 


.999 


12 


.062 


.997 


1 1 


.139 


.991 


10 


.271 


.979 


9 


.458 


.952 


8 


.675 


.903 


7 


.862 


.825 


6 


.966 


.721 


5 


.996 


.604 


14 


.014 


.999 


1 3 


.038 


.998 


12 


.092 


.995 


1 1 


.192 


.987 


10 


.348 


.969 


9 


.551 


.934 



.440 



.460 



.480 



,500 



9 .797 .863 

8 .926 .783 

7 .983 .690 

6 .998 .593 

15 .032 .999 

14 .079 .996 

13 .167 .989 



12 .308 .974 

1 1 .493 .946 

10 .692 .900 

9 .857 .835 

8 .954 .752 

7 .991 .661 

6 .999 .567 



16 


.017 


.999 


15 


.048 


.998 


14 


.1 12 


.993 


13 


.223 


.983 


12 


.384 


.964 


1 1 


.579 


.930 


10 


.767 


.877 



9 .904 .806 



8 


.973 


.723 


7 


.996 


.634 


16 


.027 


.999 


15 


.070 


.996 


14 


.154 


.990 


13 


.287 


.976 


12 


.466 


.951 


1 1 


.662 


.910 


10 


.831 


.851 


9 


.938 


.777 


8 


.955 


.695 


7 


.998 


.609 



,560 



,580 



.650 



9 .988 .698 

8 .998 .621 

18 .017 .999 

17 .051 .997 

16 .123 .992 

15 .244 .982 

la .414 .961 



.850 21 .1 58 .993 



13 .606 

12 .762 

1 1 .906 

10 .970 

9 .993 

8 .999 

.600 18 .027 



17 
16 
15 
14 
13 
12 
1 1 



.075 
.167 
.31 1 
.496 
.686 
.842 
.939 



.927 
.879 
.818 
,748 
.674 
,600 
.999 



.996 
.989 
.975 

.949 
.910 
.857 
.793 



.700 



8 .758 .876 



,520 17 .014 .999 



10 .983 .724 

9 .997 .652 

19 .025 .999 

18 .074 .996 

17 .170 .989 

16 .321 .974 

15 .510 .949 



14 .700 .910 

13 .851 .859 

12 .942 .799 

1 1 .983 .735 

10 .997 .669 

20 .021 .999 

19 .070 .996 



.900 



,950 



20 


.345 


.978 


19 


.591 


.951 


18 


.796 


.913 


17 


.920 


.867 


16 


.976 


.818 


15 


.994 


.767 


14 


.999 


.716 


22 


.09« 


.996 


21 


.34? 


.981 


20 


.650 


.953 


19 


.84? 


.914 


18 


.949 


.869 



17 .98'' .821 



16 .998 .773 

22 .324 .986 

21 .703 .955 

20 .91 1 .914 

19 .981 .869 

18 .997 .824 



POPULATION 



24 



.005 
.008 
.010 
.01 1 
.013 



.014 
.015 
.016 

.017 

.018 



1 .115 .999 

1 .184 .998 

1 .229 .997 

1 .25? .996 

1 .297 .995 



1 .320 .994 

1 .343 .992 

2 .055 .999 

1 .365 .991 

2 .06? .999 

1 .387 .990 

2 .060 .999 



,400 



7 


.912 


.790 


6 


.982 


.685 


5 


.998 


.572 


14 


.022 


.999 


13 


.059 


.997 


12 


.131 


.992 



11 .255 .980 



16 .041 .998 

15 .100 .994 

14 .205 .985 

13 .360 .968 

12 .551 .937 

11 .739 .889 

10 .883 .825 



IH .170 .989 

17 .330 .974 

.526 .949 

.717 .910 

14 .862 .861 

13 .947 .805 

12 .985 .745 



16 
15 



.019 
.020 
.021 



1 .409 .988 

2 .076 .999 

1 .45? .986 

2 .08 3 .999 

1 .45^ .985 

2 .091 .999 
1 .475 .982 



,420 



.440 



10 


.433 


.956 


9 


.641 


.913 


8 


.829 


.846 


7 


.946 


.755 


6 


.991 


.651 


5 


.999 


.543 


14 


.035 


.998 


13 


.086 


.995 


12 


.180 


.988 


1 1 


.328 


.971 


10 


.521 


.941 


9 


.724 


.889 


8 


.884 


.814 


7 


.969 


.722 


6 


.996 


.621 


15 


.020 


.999 


14 


.054 


.997 


13 


.122 


.992 


12 


.239 


.982 


1 1 


.408 


.960 



.540 



.560 



10 .609 .922 



9 .962 .750 

8 .992 .666 

7 .999 .585 

17 .022 .999 

16 .061 .997 

15 .139 .991 

14 .266 .979 



13 .440 .956 

12 .634 .919 

11 .806 .866 

10 .922 .799 

9 .978 .723 

8 .996 .644 

17 .034 ,998 



16 .088 .995 

15 .187 .987 

14 .336 .971 

13 .523 .943 

12 .712 .900 

11 .862 .842 

10 .951 .773 



.750 



,800 



.850 



11 .997 .683 

21 .015 .999 

?0 .062 .997 

19 .167 .990 

18 .336 .975 

17 .543 .949 

16 .737 .91 1 



15 .877 .864 

14 .955 .810 

13 .987 .753 

12 .997 .696 

21 .048 .998 

20 .157 .991 

19 .342 .976 



18 .564 .950 

17 .762 .912 

16 .896 .865 

15 .964 .814 

14 .991 .761 

13 .996 .706 

22 .0^8 .999 



.022 
.023 
.024 
.025 

.026 
.028 
.030 

.032 
.034 
.036 



2 .C99 .999 

1 .497 .980 

.107 .998 

.518 .978 

.116 .998 

.559 .975 

.125 .998 



1 .560 .972 

2 . 1 54 .998 

1 .581 .969 

2 .15? .997 

1 .621 .961 

2 .17? .996 



1 .660 .953 



3 


.059 


.999 


2 


. 19? 


.995 


1 


.690 


.943 


3 


.045 


.999 


2 


.21^ 


.994 


1 


.754 


.932 


3 


.05? 


.999 



33 



FINITE QUEUING TABLES 



POPULATION 24 - 24 



.036 



,038 



.040 



2 


.235 


.993 


.075 


5 


.027 


.999 


.135 


3 


.818 


.859 


.200 


6 


.37? 


.970 


1 


.768 


.919 




4 


.100 


.997 




2 


.993 


.616 




5 


.636 


.920 


3 


.060 


.999 




3 


.300 


.985 


.140 


7 


.036 


.999 




4 


.889 


.807 


2 


.257 


.992 




2 


.705 


.919 




6 


.103 


.996 




3 


.99? 


.624 


1 


.799 


.905 




1 


.998 


.555 




5 


.253 


.985 


.210 


9 


.059 


.999 


3 


.068 


.999 


.080 


5 


.035 


.999 




4 


.519 


.951 




8 


.101 


.995 



2 .280 .991 



4 .122 .996 



3 .848 .841 



7 .224 .986 



.042 



,044 



,046 



,048 



,050 



,052 



,054 



,056 



,058 



,060 



.062 



,064 



.066 



,068 



.070 



1 


.828 


.889 




3 


.344 


.981 




2 


.995 


.594 


6 


.450 


.961 


3 


.077 


.998 




2 


.758 


.900 


.145 


7 


.043 


.999 


5 


.698 


.901 


2 


.303 


.989 




1 


.999 


.521 




6 


.1 19 


.995 


4 


.921 


.777 


1 


.855 


.872 


.085 


5 


.045 


.999 




5 


.281 


.983 


3 


.996 


.595 


3 


.087 


.998 




4 


.145 


.995 




4 


.558 


.943 


.220 10 


.019 


.999 


2 


.327 


.987 




3 


.389 


.976 




3 


.874 


.822 


9 


.05? 


.998 


1 


.879 


.853 




2 


.805 


.877 




2 


.997 


.574 


8 


.127 


.993 


3 


.097 


.998 


.090 


5 


.055 


.999 


.150 


7 


.051 


.998 


7 


.268 


.981 


2 


.351 


.985 




4 


.171 


.993 




6 


.136 


.994 


6 


.489 


.951 


1 


.900 


.834 




3 


.436 


.970 




5 


.31 1 


.979 


5 


.754 


.881 


3 


.108 


.997 




2 


.847 


.852 




4 


.596 


.934 


4 


.946 


.748 


2 


.376 


.983 


.095 


5 


.068 


.998 




3 


.898 


.803 


3 


.998 


.568 


1 


.918 


.81 3 




4 


.199 


.991 




2 


.998 


.555 


.230 10 


.025 


.999 


3 


.1 19 


.997 




3 


.483 


.963 


.155 


8 


.020 


.999 


9 


.067 


.997 


2 


.401 


.980 




2 


.882 


.826 




7 


.059 


.993 


8 


.156 


.991 


1 


.934 


.792 


.100 


6 


.024 


.999 




6 


.154 


.993 


7 


.316 


.976 


4 


.031 


.999 




5 


.082 


.997 




5 


.341 


.976 


6 


.540 


.939 


3 


.131 


.997 




4 


.229 


.989 




4 


.633 


.925 


5 


.804 


.858 


2 


.426 


.977 




3 


.530 


.954 




3 


.917 


.784 


4 


.964 


.719 


1 


.948 


.771 




2 


.91 1 


.798 




2 


.999 


.537 


3 


.999 


.543 


4 


.036 


.999 


.105 


6 


.030 


.999 


.160 


8 


.023 


.999 


.240 10 


.054 


.999 


3 


.143 


.996 




5 


.097 


.997 




7 


.069 


.997 


9 


.086 


.996 


2 


.451 


.974 




4 


.261 


.986 




6 


.173 


.991 


8 


.190 


.988 


1 


.959 


.749 




3 


.577 


.945 




5 


.373 


.972 


7 


.366 


.969 


4 


.040 


.999 




2 


.935 


.770 




4 


.669 


.914 


6 


.608 


.925 


3 


.156 


.995 


.110 


6 


.037 


.999 




3 


.934 


.764 


5 


.847 


.835 


2 


.476 


.971 




5 


.114 


.996 




2 


.999 


.521 


4 


.976 


.691 


1 


.968 


.728 




4 


.295 


.983 


.165 


8 


.028 


.999 


3 


.999 


.521 


4 


.045 


.999 




3 


.622 


.934 




7 


.080 


.997 


.250 11 


.016 


.999 


3 


.169 


.995 




2 


.953 


.742 




6 


.194 


.989 


10 


.044 


.998 


2 


.501 


.967 


.1 15 


6 


.045 


.999 




5 


.405 


.967 


9 


.107 


.995 


1 


.975 


.706 




5 


.133 


.995 




4 


.704 


.903 


8 


.227 


.985 


4 


.050 


.999 




4 


.330 


.979 




3 


.948 


.745 


7 


.419 


.961 


3 


.183 


.994 




3 


.666 


.921 




2 


.999 


.505 


6 


.664 


.909 


2 


.527 


.963 




2 


.967 


.715 


.170 


8 


.033 


.999 


5 


.884 


.810 


1 


.981 


.686 


.120 


6 


.054 


.998 




7 


.091 


.996 


4 


.985 


.665 


4 


.056 


.999 




5 


.154 


.993 




6 


.216 


.988 


.260 11 


.021 


.999 


3 


.197 


.993 




4 


.366 


.975 




5 


.438 


.962 


10 


.056 


.998 


2 


.552 


.959 




3 


.708 


.907 




4 


.737 


.891 


9 


.1 5? 


.993 


1 


.985 


.666 




2 


.977 


.688 




3 


.959 


.726 


8 


.268 


.981 


4 


.062 


.999 


.125 


7 


.020 


.999 


.180 


8 


.045 


.998 


7 


.473 


.952 


3 


.212 


.992 




6 


.065 


.998 




7 


.118 


.994 


6 


.718 


.892 


2 


.576 


.954 




5 


.176 


.992 




6 


.264 


.983 


5 


.91 3 


.786 


1 


.989 


.647 




4 


.404 


.970 




5 


.505 


.950 


4 


.990 


.640 


4 


.068 


.998 




3 


.748 


.892 




4 


.797 


.865 


.270 11 


.028 


.999 


3 


.227 


.991 




2 


.984 


.663 




3 


.976 


.690 


10 


.07? 


.997 


? 


.601 


.948 


.130 


7 


.025 


.999 


.190 


9 


.021 


.999 


9 


. 160 


.990 


1 


.992 


.628 




6 


.076 


.997 




8 


.061 


.998 


8 


.31? 


.975 


4 


.074 


.998 




5 


.200 


.990 




7 


.149 


.992 


7 


.528 


.942 


3 


.243 


.990 




4 


.442 


.965 




6 


.316 


.977 


6 


.766 


.874 


2 


.625 


.943 




3 


.785 


.876 




5 


.572 


.936 


5 


.957 


.761 


1 


.994 


.61 1 




2 


.989 


.639 




4 


.847 


.837 


4 


.994 


.617 


4 


.081 


.998 


.135 


7 


.030 


.999 




3 


.986 


.656 


.280 11 


.056 


.999 


3 


.259 


.989 




6 


.089 


.997 


.200 


9 


.029 


.999 


10 


.089 


.995 


2 


.649 


.937 




5 


.226 


.988 




8 


.079 


.997 


9 


.191 


.988 


1 


.995 


.594 




4 


.481 


.958 




7 


.184 


.989 


8 


.358 


.969 



34 



FTNITE QUEUING TABLES 
X M D F X 



POPULATION 24 - 24 
F X M D F 



,280 7 .582 .930 .360 

6 .810 .855 

5 .955 .737 

4 .996 .595 

,290 12 .017 .999 .380 

1 1 .047 ,998 

10 .110 .994 



8 .747 .882 

7 .905 .798 

6 .980 .693 

5 .998 .579 

14 .023 .999 

13 .059 .997 

12 .130 .992 



.480 
.500 



7 
17 
16 



13 
12 



.998 .608 

.018 .999 

.049 .998 

15 .1 12 .993 

14 .220 .984 

377 .966 

565 .935 



.600 



.650 



10 .99? .694 
9 .999 .625 
20 .01 R .999 
19 .057 .997 
18 .1 56 .992 
17 .26R .980 
16 .444 .960 



9 


.226 


.984 


8 


.407 


.962 


7 


.635 


.917 


6 


.848 


.834 


5 


.968 


.714 


4 


.998 


.575 



,300 12 .023 .999 



11 


.251 


.981 


10 


.425 


.958 


9 


.632 


.917 


8 


.822 


.851 


7 


.944 


.761 


6 


.990 


.657 


5 


.999 


.548 



.520 



11 .750 .887 

10 .889 .823 

.965 .747 

.993 .666 

.999 .583 

.028 .999 



9 

8 

7 
17 



16 .072 .996 



15 .655 .927 

14 .800 .882 

13 .91? .828 

12 .970 .768 

11 .993 .705 

10 .999 .641 

.700 21 .016 .999 



.310 



.320 



1 1 .059 .997 

10 .133 .992 

9 .264 .980 

8 .457 .954 

7 .686 .902 

6 .881 .813 

5 .978 .692 



4 .999 .555 

12 .029 .999 

11 .073 .996 

10 .160 .990 

9 .305 .976 

8 .508 .945 

7 .733 .886 



6 .908 .793 

5 .985 .670 

4 .999 .538 

12 .038 .998 

11 .091 .995 

10 .190 .987 

9 .349 .970 



.400 15 .013 .999 

14 .037 .998 

13 .087 .995 

.180 .988 

.326 .972 

.517 .943 
.720 



15 .154 .990 



,420 



12 

1 1 

10 

9 



.892 



8 .881 .819 

7 .968 .726 

6 .996 .625 

15 .022 .999 

14 .056 .997 

13 .125 .992 

12 .242 .982 



11 .409 .961 

10 .608 .923 

9 .796 .865 

8 .925 .786 

7 .983 .693 

6 .998 .595 



,540 



14 


.286 


.977 


13 


.4o0 


.954 


12 


.650 


.916 


1 1 


.817 


.863 


10 


.928 


.795 


9 


.980 


.720 


8 


.996 


.641 


18 


.015 


.999 


17 


.043 


.998 


16 


.103 


.994 


15 


.207 


.985 


14 


.360 


.969 


13 


.545 


.940 


12 


.7k9 


.896 


1 1 


.872 


.838 


10 


.955 


.769 


9 


.989 


.694 


8 


.998 


.617 



.750 



,440 15 .035 .998 



.560 18 .024 .999 
17 .064 .997 



.800 



20 .055 .997 
19 .140 .992 
18 .28? .980 
17 .467 .958 
16 .660 .925 
15 .820 .882 
14 .924 .830 



13 .975 .773 

12 .994 .714 

11 .999 .655 

21 .050 .998 

20 .140 .992 

19 .294 .980 

18 .49? .958 



17 .689 .924 

16 .844 .881 

15 .957 .831 

14 .980 .777 

13 .995 .722 

12 .999 .667 

22 .040 .998 



.330 



8 


.559 


.934 


7 


.777 


.870 


6 


.930 


.772 


5 


.990 


.650 


13 


.018 


.999 


12 


.048 


.998 


1 1 


.1 10 


.994 


10 


.223 


.984 


9 


.394 


.964 


8 


.609 


.923 


7 


.816 


.852 


6 


.948 


.751 


5 


.993 


.631 



,340 



13 .023 .999 



14 .084 .995 

13 .173 .988 

12 .313 .974 

11 .497 .946 

10 .695 .901 

9 .858 .836 

8 .955 .754 



7 .991 .662 

6 .999 .568 

,460 16 .020 .999 

15 .053 .997 

14 .119 .993 

13 .232 .983 

12 .393 .963 



.580 



16 .143 .991 

15 .270 .979 

lU .441 .958 

13 .630 .923 

12 .799 .874 

11 .915 .812 

10 .974 .742 



9 .994 .669 

8 .999 .595 

18 .037 .998 

17 .093 .995 

16 .193 .987 

15 .342 .971 

14 .526 .944 



.850 



21 .1 55 .993 

20 .305 .980 

19 .520 .957 

18 .723 .923 

17 .870 .880 

16 .95? .832 

15 .986 .781 



14 .997 .729 

13 .999 .677 

23 .024 .999 

22 .121 .994 

21 .314 .981 

20 .554 .957 

19 .765 .922 



.360 



12 


.060 


.997 


1 1 


.133 


.992 


10 


.258 


.981 


9 


.441 


.956 


8 


.658 


.910 


7 


.850 


.834 


6 


.962 


.731 


5 


.996 


.612 


14 


.014 


.999 


13 


.038 


.998 


12 


.090 


.995 


1 1 


.186 


.988 


10 


.338 


.971 


9 


.537 


.938 



,480 



11 .586 .929 

10 .772 .877 

9 .906 .806 

8 .974 .723 

7 .996 .634 

16 .032 .999 

15 .078 .996 



14 .165 .989 

13 .300 .975 

12 .478 .950 

11 .672 .909 

10 .837 .850 

9 .941 .776 

8 .986 .694 



.600 



13 


.710 


.904 


18 


.90? 


.879 


12 


.857 


.850 


17 


.96'^ 


.833 


1 1 


.946 


.787 


16 


.99? 


.784 


10 


.985 


.718 


15 


.99« 


.735 


9 


.997 


.646 .900 23 


.089 


.997 


19 


.019 


.999 


22 


.318 


.983 


18 


.056 


.997 


21 


.601 


.958 



17 .130 .992 

16 .253 .981 

15 .422 .961 

14 .611 .929 

13 .782 .884 

12 .903 .827 

11 .967 .762 



,950 



20 .821 .921 

19 .959 .878 

18 .984 .833 

17 .997 ,787 

16 .999 .741 

23 .307 .987 

22 .684 .959 



35 



FINITE QUEUING TABLES 
X M D F X 



.950 



21 .901 .920 
20 .978 .877 
19 .996 .833 



044 


1 


.901 


.837 


.085 


2 


.839 


.861 


046 


3 


.108 


.998 


.090 


5 


.065 


.998 




2 


.377 


.983 




4 


.194 


.992 




1 


.920 


.816 




3 


.474 


.965 


048 


3 


.120 


.997 




2 


.878 


.834 




2 


.403 


.981 


.095 


6 


.024 


.999 




1 


.937 


.794 




5 


.080 


.998 



POPULATION 
F X M 
.145 



1 150 



IN 


24 - 


• 25 




D 


F 


4 


.608 


.933 


3 


.906 


.800 


2 


.998 


.551 


8 


.C21 


.999 


7 


.063 


.998 


6 


.161 


.992 


5 


.353 


.975 



POPULATION 



25 



.005 1 .120 .999 

,008 1 .192 .998 

,010 1 .239 .997 

,011 1 .263 .996 

,012 1 .287 .995 



.013 
.014 
.015 
.016 

.017 



1 .310 .994 

1 .334 .993 

1 .357 .992 

2 .060 .999 

1 .381 .991 

2 .067 .999 
1 .404 .989 



.050 



.052 



.054 



.056 



4 .032 .999 
3 .132 .997 



4 .225 .990 
3 .523 .957 



4 .647 .923 
3 .925 .780 



2 


.429 


.976 




2 


.909 


.805 




2 


.999 


.533 


1 


.950 


.771 


.100 


6 


.030 


.999 


.155 


8 


.026 


.999 


4 


.036 


.999 




5 


.096 


.997 




7 


.074 


.997 


3 


.145 


.996 




4 


.258 


.987 




6 


.18? 


.991 


2 


.455 


.975 




3 


.572 


.947 




5 


.386 


.971 


1 


.962 


.748 




2 


.934 


.776 




4 


.684 


.912 


4 


.041 


.999 


.105 


6 


.037 


.999 




3 


.94 1 


.759 


3 


.158 


.995 




5 


.1 14 


.996 




2 


.999 


.516 


2 


.481 


.971 




4 


.293 


.984 


.160 


8 


.051 


.999 


1 


.971 


.726 




3 


.620 


.936 




7 


.085 


.997 


4 


.046 


.999 




2 


.953 


.747 




6 


.204 


.989 


3 


.172 


.995 


.110 


6 


.046 


.999 




5 


.420 


.966 



.018 2 .074 .999 2 .508 .967 5 .134 .995 

1 .427 .987 1 .978 .704 4 .330 .980 

.019 2 .082 .999 .058 4 .052 .999 3 .667 .923 

1 .450 .986 3 .187 .994 2 .968 .718 

.020 2 .090 .999 2 .534 ,963 .115 6 .055 .998 

1 .473 .983 1 .983 .682 5 .155 .994 

.021 2 .099 .999 .060 4 .058 .999 4 .368 .976 



1 165 



4 .720 .900 

3 .955 .739 
8 .056 .999 
7 .098 .996 
6 ,21°. .987 

5 .455 .961 

4 .753 .887 



,022 
,023 
,024 



1 .495 .981 

2 .107 .998 

1 .518 .979 

2 .116 .998 

1 .540 .976 

2 .125 .998 
1 .562 .973 



.062 



3 .202 .993 

2 .560 .958 

1 .988 .662 

4 .064 .999 

3 .218 .992 

2 .586 .953 
1 .991 .642 



120 



3 .711 .909 

2 .978 .690 
7 .021 .999 
6 .066 .998 
5 .179 .992 

4 .407 .971 

3 .752 .894 



.170 



3 .965 .720 
8 .043 .999 
7 .11? .995 
6 .253 .985 
5 .490 .955 

4 .785 .874 
3 .974 .701 



,025 
,026 
,028 
,030 



2 .135 .998 

1 .583 .970 

2 .144 .997 

1 .605 .966 

2 .164 .997 

1 .646 .958 

2 .185 .996 



.064 



.066 



4 .071 .998 

3 .234 .991 

2 .612 .948 

1 .993 .623 

4 .078 .998 

3 .250 .990 

2 .637 .942 



.125 



2 .985 .663 
7 .026 .999 
6 .078 .997 
5 .204 .990 
H .447 .965 

3 .790 .877 
2 .990 .638 



.180 9 .020 .999 

8 .058 .998 

7 .143 .993 

6 .306 .979 

5 .560 .941 

4 .840 .845 

3 .985 .664 



1 .686 .948 1 .995 .604 .130 7 .031 .999 
,032 3 .043 .999 .068 4 .085 .998 6 .092 .997 

2 .207 .995 3 .267 .989 5 .231 .988 

1 .724 .937 2 .662 .935 4 .488 .958 
,034 3 .051 .999 1 .997 ,587 3 .825 .859 

2 .229 .994 .070 4 .093 .997 2 .994 .614 
1 .760 .925 3 .285 .987 .135 7 .038 .999 



190 9 .029 .999 

8 .077 .997 

7 .180 .990 

6 .364 .972 

5 .628 .924 

4 .885 .814 

3 ,99? .630 



.036 3 .059 .999 2 .686 .928 6 .107 .996 

2 .252 .993 1 .997 ,571 5 .259 .985 

1 .794 .910 .075 5 .033 .999 4 .528 .951 
.038 3 .067 .999 4 .115 .997 3 .856 .840 

2 .276 .991 3 .330 .983 2 .996 .592 
1 .825 .894 2 .742 .909 .140 7 .045 .999 

.040 3 .076 .999 1 .999 .533 6 .124 .995 



.200 9 .059 .999 

8 .100 .995 

7 .221 .987 

6 .424 .963 

5 .693 .905 

4 .920 .783 

3 .996 .599 



2 .301 .990 .080 5 .042 .999 5 .289 .982 

1 .854 .877 4 .139 .995 4 .569 .942 
.042 3 .086 .998 3 .376 .978 3 .883 .820 

2 .326 .988 2 .794 .886 2 .997 .571 

1 .879 .858 .085 5 .053 .999 .145 7 .054 .998 
.044 3 .097 .998 4 .165 .994 6 .142 .994 

2 .351 .986 3 .425 ,972 5 ,320 ,979 



.210 10 .019 .999 

9 .05? .998 

8 .126 .994 

7 .266 .982 

6 .487 .953 

5 .75? .884 

4 .946 .752 



36 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 25 25 
F X M D F 



.210 



3 .998 .571 



,220 10 .026 .999 



,230 



,240 



,250 



,260 



9 


.068 


.997 


8 


.157 


.991 


7 


.316 


.977 


6 


.549 


.940 


5 


.805 


.861 


U 


.965 


.721 


3 


.999 


.545 


10 


.035 


.999 


9 


.087 


.996 


8 


.192 


.989 


7 


.369 


.970 


6 


.61 1 


.926 


5 


.850 


.836 


a 


.978 


.692 


3 


.999 


.522 


1 1 


.017 


.999 


10 


.046 


.998 


9 


.110 


.994 


8 


.231 


.985 


7 


.424 


.962 


6 


.670 


.910 


5 


.888 


.81 1 


a 


.986 


.665 


1 1 


.023 


.999 


10 


.059 


.997 


9 


.136 


.993 


8 


.274 


.980 


7 


.481 


.952 


6 


.725 


.892 


5 


.918 


.785 


n 


.992 


.639 


1 1 


.030 


.999 


10 


.076 


.996 


9 


.166 


.990 


8 


.320 


.975 


7 


.538 


.941 


6 


.775 


.873 


5 


.941 


.760 


4 


.995 


.615 



,270 1 1 .040 .998 



10 


.095 


.995 


9 


.200 


.987 


8 


.370 


.969 


7 


.595 


.929 


6 


.820 


.853 


5 


.959 


.735 


4 


.997 


.592 


280 12 


.019 


.999 


1 1 


.051 


.998 


10 


.1 17 


.994 


9 


.237 


.984 


8 


.421 


.961 


7 


.650 


.915 


6 


.858 


.831 


5 


.972 


.71 1 


4 


.998 


.571 


290 12 


.026 


.999 


1 1 


.065 


.997 


10 


.143 


.992 


9 


.278 


.979 



.290 



.300 



7 .701 .899 
6 .891 .809 



.310 



.320 



.330 



.340 



.380 



5 


.981 


.687 


4 


.999 


.552 


12 


.033 


.999 


1 1 


.081 


.996 


•10 


.172 


.989 


9 


.322 


.974 


8 


.527 


.942 


7 


.750 


.883 


6 


.917 


.788 


5 


.988 


.665 


4 


.999 


.533 


13 


.016 


.999 



12 .043 .998 

11 .100 .995 

10 .204 .986 

9 .368 .968 

8 .580 .931 

7 .793 .865 

6 .939 .766 



5 .992 .644 
13 .021 .999 
12 .054 .996 
11 .122 .993 
10 .240 .983 

9 .416 .961 

6 .631 .919 



7 


.832 


.847 


6 


.955 


.744 


5 


.995 


.625 


13 


.028 


.999 


12 


.068 


.997 


1 1 


.147 


.991 


10 


.279 


.979 



9 .465 .953 

8 .681 .905 

7 .866 .826 

6 .968 .724 

5 .997 .606 

13 .035 .998 

12 .084 .996 



1 1 


.175 


.989 


10 


.320 


.974 


9 


.516 


.944 


8 


.727 


.891 


7 


.895 


.809 


6 


.977 


.704 


5 


.998 


.588 



,360 14 .022 .999 

13 .056 .997 

12 .124 .993 

11 .240 .983 

10 .410 .962 

9 .615 .923 

8 .809 .859 



7 .938 .770 



8 .474 .952 



6 .989 .666 

5 .999 .556 

15 .013 .999 

14 .036 .998 

13 .085 .995 

12 .175 .989 



.380 11 .317 .974 
10 .504 .946 
9 .708 .898 
8 .874 .826 
7 .966 .733 
6 .995 .631 

.400 15 .023 .999 



14 .057 .997 

13 .124 .993 

12 .238 .983 

11 .402 .963 

10 .600 .927 

9 .789 .870 

8 .921 .791 



.420 



,"60 



.480 



,500 



7 


.982 


.699 


6 


.998 


.600 


16 


.013 


.999 


15 


.036 


.998 


14 


.0b5 


.995 


13 


.174 


.989 


12 


.312 


.975 


1 1 


.493 


.948 


10 


.690 


.904 


9 


.855 


.839 


8 


.954 


.758 


7 


.991 


.666 


6 


.999 


.571 



.440 16 .022 .999 



15 


.056 


.997 


14 


.123 


.993 


13 


.235 


.983 


12 


.394 


.964 


1 1 


.586 


.930 


10 


.770 


.879 


9 


.906 


.808 


8 


.974 


.725 


7 


.996 


.636 


16 


.035 


.998 


15 


.033 


.996 


14 


.171 


.989 


13 


.306 


.975 


12 


.482 


.950 


1 1 


.674 


.910 


10 


.838 


.851 


9 


.942 


.777 


8 


.986 


.695 


7 


.998 


.609 


17 


.021 


.999 



16 .054 .997 



15 


.119 


.993 


14 


.229 


.983 


13 


.386 


.965 


12 


.572 


.934 


1 1 


.754 


.886 


10 


.891 


.823 


9 


.966 


.747 



8 .993 .666 

7 .999 .583 

17 .033 .998 

16 .080 .996 

15 .lo6 .989 

14 .298 .976 

.471 .953 



13 



.500 12 .659 .915 
11 .823 .861 



.520 



.600 



.650 



10 


.950 


.794 


9 


.981 


.719 


8 


.997 


.640 


18 


.019 


.999 


17 


.051 


.998 


16 


.11^ 


.993 


15 


.22? 


.984 


14 


.376 


.967 


13 


.560 


.938 


12 


.759 


.894 


1 1 


.878 


.835 


10 


.958 


.766 



9 .990 .692 

8 .998 .615 

.540 18 .050 ,999 

17 .075 .996 

16 .159 .990 

15 .289 .978 

14 .460 .955 



13 .646 .920 

12 .809 .870 

11 .920 .809 

10 .976 .739 

9 .995 .666 

8 .999 ,593 

.560 19 .017 .999 



18 .047 .998 

17 .100 .994 

16 .214 .985 

15 .366 .969 

14 .548 ,941 

13 .726 .900 

12 .867 .846 



.580 



1 1 


.950 


.782 


10 


.987 


.714 


9 


.99R 


.643 


19 


.027 


.999 


18 


.C6Q 


.996 


17 


.151 


.991 


16 


.27Q 


.979 


15 


.449 


.958 


14 


.654 


.925 


13 


.798 


.878 


12 


.91 1 


.821 


1 1 


.971 


.757 


10 


.993 


.689 


9 


.999 


.621 


20 


.014 


.999 


19 


.041 


.998 


18 


.100 


.994 


17 


.204 


.986 


16 


.354 


.971 


15 


.556 


.945 


14 


,715 


.906 


13 


.857 


.856 


12 


,94a 


.797 


1 1 


,984 


.733 


10 


,997 


.667 


21 


,01 3 


.999 


20 


.043 


.998 



19 .10« .994 



37 



FINITE QUEUING TABLES 

X M F X 

.650 18 .222 .985 

17 .383 .968 

16 .569 .941 

15 .74a .902 

14 .875 .854 

13 .952 .798 

12 .986 .738 



POPULATION 25 - 26 
F X M F 



POPULATION 


26 


.048 


3 


.132 


.997 


.090 


3 


.51 ? 


.960 










2 


.429 


.979 




2 


.904 


.815 


.005 


1 .125 


.999 




1 


.952 


.773 


.095 


6 


.029 


.999 


.OOii 


1 .200 


.998 


.050 


4 


.037 


.999 




5 


.09^ 


.997 


.009 


1 .224 


.997 




3 


.146 


.996 




4 


.252 


.988 


.01 1 


1 .274 


.996 




2 


.457 


.975 




3 


.564 


.951 


.012 


1 .299 


.995 




1 


.964 


.749 




2 


.952 


.784 



11 .997 .677 .013 1 .323 .994 .052 4 .042 .999 .100 6 .C 56 .999 

.700 21 .043 .998 .014 1 .348 .993 3 .160 .996 5 .111 .996 

20 .114 .994 .015 2 .057 .999 2 .485 .972 4 .28^^ .985 

19 .239 .984 1 .372 .991 1 .973 .726 3 .614 .939 

18 .411 .966 .016 2 .065 .999 .054 4 .047 .999 2 .953 .753 

17 .603 .938 1 .396 .990 3 .175 .995 .105 6 .04=. .999 

16 .774 .899 .017 2 .072 .999 2 .512 .968 5 .15? .995 



.750 



,800 



.850 



.900 



.950 



15 


.894 


.851 




1 


.420 


.986 




1 


.980 


.703 




4 


.326 


.981 


1 4 


.961 


.798 


.018 


2 


.080 


.999 


.056 


4 


.053 


.999 




3 


.663 


.927 


13 


.989 


.742 




1 


.444 


.987 




3 


.190 


.994 




2 


.96<^ 


.723 


12 


.998 


.686 


.019 


2 


.089 


.999 




2 


.540 


.96? 


.110 


6 


.055 


.998 


22 


.040 


.998 




1 


.468 


.984 




1 


.985 


.630 




5 


.154 


.994 


21 


.118 


.994 


.020 


2 


.097 


.999 


.058 


4 


.059 


.999 




4 


.366 


.977 


20 


.255 


.984 




1 


.492 


.982 




3 


.206 


.993 




3 


.710 


.912 


19 


.442 


.965 


.021 


2 


.106 


.999 




2 


.567 


.959 




2 


.979 


.693 


18 


.640 


.935 




1 


.515 


.980 




1 


.989 


.659 


.1 15 


7 


.021 


.999 


17 


.806 


.896 


.022 


2 


.115 


.998 


.060 


4 


.066 


.999 




6 


.066 


.998 


16 


.915 


.850 




1 


.538 


.977 




3 


.222 


.992 




5 


.179 


.992 


15 


.970 


.799 


.023 


2 


.125 


.998 




2 


.594 


.953 




4 


.407 


.972 


14 


.992 


.746 




1 


.561 


.974 




1 


.992 


.638 




3 


.753 


.896 


13 


.998 


.693 


.024 


2 


.135 


.998 


.062 


4 


.073 


.99C 




2 


.936 


.665 


23 


.033 


.999 




1 


.584 


.971 




3 


.239 


.991 


.120 


7 


.026 


.999 


22 


.1 16 


.994 


.025 


2 


.145 


.997 




2 


.621 


.947 




6 


.079 


.997 


21 


.271 


.984 




1 


.606 


.967 




1 


.995 


.618 




5 


.205 


.990 


20 


.477 


.963 


.026 


2 


.155 


.997 


.064 


4 


.081 


.998 




4 


.449 


.966 


19 


.683 


.933 




1 


.628 


.963 




3 


.256 


.990 




3 


.793 


.879 


18 


.842 


.893 


.023 


2 


.176 


.996 




2 


.647 


.941 




2 


.991 


.639 


17 


.936 


.848 




1 


.671 


.954 




1 


.996 


.600 


.125 


7 


.05? 


.999 


16 


.980 


.799 


.030 


3 


.041 


.999 


.066 


4 


.089 


.998 




6 


.094 


.997 


15 


.995 


.750 




2 


.199 


.996 




3 


.274 


.989 




5 


.253 


.988 


14 


.999 


.700 




1 


.71 1 


.943 




2 


.672 


.934 




4 


.491 


.959 


24 


.020 


.999 


.032 


3 


.048 


.999 




1 


.997 


.582 




3 


.829 


.860 


23 


.107 


.995 




2 


.222 


.994 


.068 


4 


.097 


.997 




2 


.994 


.614 


22 


.285 


.984 




1 


.750 


.931 




3 


.293 


.987 


.130 


7 


.059 


.999 


21 


.518 


.962 


.034 


3 


.056 


.999 




2 


.697 


.927 




6 


.109 


.996 


20 


.734 


.930 




2 


.246 


.993 




1 


.998 


.565 




5 


.263 


.986 


19 


.882 


.890 




1 


.786 


.917 


.070 


5 


.030 


.999 




4 


.554 


.951 


18 


.959 


.846 


.036 


3 


.065 


.999 




4 


.106 


.997 




3 


.861 


.340 


17 


.988 


.800 




2 


.271 


.992 




3 


.31 1 


.986 




2 


.997 


.591 


16 


.998 


.753 




1 


.319 


.901 




2 


.721 


.919 


.135 


7 


.047 


.999 


24 


.080 


.997 


.038 


3 


.075 


.999 




1 


.999 


.549 




6 


.127 


.995 


23 


.295 


.985 




2 


.296 


.990 


.075 


5 


.039 


.999 




5 


.294 


.982 


22 


.573 


.962 




1 


.850 


.883 




4 


.130 


.996 




4 


.576 


.943 


21 


.800 


.928 


.040 


3 


.085 


.998 




3 


.350 


.981 




3 


.83° 


.820 


20 


.927 


.887 




2 


.322 


.988 




2 


.778 


.897 




2 


.998 


.569 


19 


.980 


.844 




1 


.877 


.863 




1 


.999 


.513 


.140 


7 


.056 


.998 


18 


.996 


.800 


.042 


3 


.096 


.998 


.080 


5 


.049 


.999 




6 


.146 


.994 


17 


.999 


.756 




2 


.348 


.986 




4 


.157 


.995 




5 


.327 


.979 


24 


.292 


.989 




1 


.900 


.842 




3 


.410 


.975 




4 


.617 


.933 


23 


.665 


.962 


.044 


3 


.107 


.998 




2 


.327 


.872 




3 


.91 ■? 


.799 


22 


.890 


.925 




2 


.375 


.984 


.085 


5 


.062 


.998 




2 


.999 


.549 


21 


.974 


.884 




1 


.921 


.820 




4 


.186 


.993 


.145 


8 


.02 3 


.999 


20 


.996 


.842 


.046 


3 


.119 


.997 




3 


.461 


.96P 




7 


.066 


.998 


19 


.999 


.800 




2 


.402 


.982 




2 


.870 


.844 




6 


.167 


.992 










1 


.938 


.797 


.090 


5 


.077 


.998 




5 


.361 


.975 








.048 


4 


.032 


.999 




4 


.213 


.991 




4 


.657 


.922 



38 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 26 - 26 
F X M D F 



145 



150 



.931 .777 



.155 



160 



165 



170 



180 



190 



,200 



2 


.999 


.530 


8 


.027 


.999 


7 


.077 


.997 


6 


.189 


.991 


5 


.396 


.970 


4 


.696 


.910 


3 


.947 


.756 


8 


.033 


.999 


7 


.090 


.996 


6 


.213 


.989 


5 


.432 


.965 


4 


.733 


.898 


3 


.960 


.735 


8 


.039 


.999 


7 


.104 


.996 


6 


.238 


.986 


5 


.469 


.960 


4 


.767 


.884 


3 


.970 


.715 


8 


.046 


.998 


7 


.119 


.995 


6 


.264 


.984 


5 


.505 


.953 


4 


.799 


.870 


3 


.978 


.695 


9 


.019 


.999 


8 


.054 


.998 


7 


.135 


.994 


6 


.292 


.981 


5 


.542 


.946 


4 


.828 


.855 


3 


.984 


.676 


9 


.027 


.999 



8 .073 .997 



7 
6 
5 
4 

3 

10 

9 



.172 .991 
.351 .974 



,614 
.878 



.930 
,824 



.991 .640 
.038 .999 
.096 .996 



.214 .988 

.414 .966 

.683 .91 1 

.916 .791 

.996 .607 

.018 .999 

.051 .998 



.123 .994 

.261 .983 

.479 .955 

.746 .889 

.945 .758 

.998 .577 



,210 10 .026 .999 



9 


.067 


.997 


8 


.155 


.992 


7 


.312 


.978 


6 


.544 


.943 


5 


.802 


.865 


4 


.965 


.726 


3 


.999 


.549 



.220 10 .035 .999 

9 .087 .996 

8 .191 .989 

7 .367 .971 

6 .609 .929 

5 .350 .840 

4 .978 .696 



.230 



,240 



,250 



260 



.270 



.280 



.290 



3 


.999 


.524 


1 1 


.017 


.999 


10 


.047 


.996 


9 


.111 


.995 


8 


.232 


.985 


7 


.424 


.963 


6 


.670 


.912 


5 


.889 


.814 


4 


.QB7 


.667 


1 1 


.024 


.999 


10 


.061 


.997 


9 


.139 


.993 



8 .277 .981 
7 .484 .953 



6 .728 .894 

5 .920 .787 

4 .992 .640 

11 .032 .999 

10 .078 .996 

9 .170 .990 

8 .325 .975 



7 .543 .942 

6 .780 .874 

5 .944 .760 

4 .995 .615 

12 .016 .999 

11 .042 .998 

10 .099 .995 



9 .206 .987 

8 .377 .969 

7 .602 .926 

6 .826 .852 

5 .962 .734 

4 .997 .591 

12 .021 .999 



1 1 


.054 


.996 


10 


.123 


.994 


9 


.245 


.983 


8 


.430 


.961 


7 


.659 


.914 


6 


.865 


.830 


5 


.974 


.709 


4 


.999 


.570 


12 


.028 


.999 


1 1 


.069 


.997 


10 


.150 


.991 


9 


.238 


.979 


8 


.486 


.951 


7 


.713 


.896 


6 


.898 


.807 


5 


.983 


.685 


4 


.999 


.549 


12 


.037 


.999 


1 1 


.087 


.996 


10 


.182 


.989 


9 


.334 


.973 



,?90 



.300 



8 .541 .941 
7 .762 .880 



.310 



.320 



.330 



,340 



,360 



.380 



6 


.924 


.764 


5 


.989 


.662 


13 


.018 


.999 


12 


.048 


.998 


1 1 


.108 


.994 


10 


.216 


.986 


9 


.383 


.967 


8 


.596 


.929 


7 


.806 


.862 


6 


.945 


.762 


5 


.993 


.640 


13 


.024 


.999 


12 


.060 


.997 


1 1 


.132 


.993 


10 


.254 


.982 


9 


.434 


.959 


8 


.649 


.916 


7 


.845 


.843 


6 


.961 


.740 


5 


.996 


.620 


13 


.032 


.999 


12 


.076 


.996 


1 1 


.159 


.990 


10 


.296 


.977 


9 


.485 


.951 


8 


.700 


.902 


7 


.378 


.823 


6 


.973 


.71P 


5 


.997 


.601 


14 


.016 


.999 


13 


.041 


.998 


12 


.094 


.995 


1 1 


.190 


.988 


10 


.340 


.972 


9 


.538 


.941 


8 


.747 


.886 


7 


.906 


.803 


6 


.981 


.697 


5 


.998 


.583 


14 


.021 


.999 


13 


.052 


.998 


12 


.115 


.994 


1 1 


.224 


.985 


10 


.366 


.966 


9 


.589 


.930 


8 


.790 


.870 


7 


.929 


.783 


6 


.987 


.678 


5 


.999 


.566 


14 


.035 


.999 


13 


.081 


.996 


12 


.165 


.990 


1 1 


.301 


.977 


10 


.484 


.951 


9 


.688 


.905 


8 


.861 


.835 


7 


.961 


.744 


6 


.994 


.641 


15 


.022 


.999 


14 


.055 


.997 


13 


.1 19 


.993 



,380 12 .229 .984 

11 .368 .965 

10 .583 .932 

9 .775 .877 

8 .914 .800 

7 .980 .707 

6 .99^^ .607 



.400 16 .014 .999 

15 .056 .998 

14 .084 .996 

13 .169 .989 

12 .303 .976 

11 .48? .951 

10 .673 .909 



9 .647 .846 

8 .950 .764 

7 .990 .672 

6 .999 ,577 

.420 16 .023 .999 

15 .057 .997 

14 .12? .993 



13 .251 .984 

12 .383 .965 

11 .577 .933 

10 .76^ .883 

9 .901 .813 

8 .973 .730 

7 .996 .641 



.440 



,460 



,480 



17 .014 .999 

16 .057 .998 

15 .085 .995 

14 .172 .989 

13 .304 .976 

12 .47Q .952 

11 .66Q .912 



10 .854 .854 

9 .940 .781 

8 .986 .698 

7 .993 .612 

17 .02"^ .999 

lb .057 .997 

15 .123 .993 



14 .25? .983 

13 .387 .966 

12 .57? .935 

11 .75? .888 

10 .890 .825 

9 .965 .750 

99^ .668 



,500 



8 



7 .999 .585 

18 .014 .999 

17 .057 .998 

16 .C85 .995 

15 .17? .989 

14 .304 .976 

13 .475 .953 



12 .661 ,915 

11 .82"^ ,862 

10 .951 ,795 

9 ,961 ,720 

8 ,997 ,641 

18 ,02^ .999 

17 ,057 .997 



39 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



.500 



,520 



,540 



,560 



,580 



.600 



16 .123 .993 

15 .232 .984 

m .385 .966 

13 .566 .937 

12 .744 .893 

1 1 .880 .835 

10 .959 .766 



9 .990 .692 

8 .999 .615 

18 .036 .998 

17 .084 .996 

16 .170 .989 

15 .302 .976 

14 .472 .954 



13 


.655 


.919 


12 


.815 


.869 


1 1 


.923 


.807 


10 


.977 


.738 


9 


.995 


.665 


8 


.999 


.592 


19 


.021 


.999 


18 


.055 


.997 


17 


.120 


.993 


16 


.229 


.984 


15 


.382 


.967 


14 


.561 


.939 


13 


.736 


.898 


12 


.872 


.844 


1 1 


.953 


.780 


10 


.988 


.712 


9 


.998 


.641 


19 


.033 


.999 


18 


.081 


.996 


17 


.167 


.990 


16 


.299 


.977 


15 


.468 


.955 


14 


.649 


.922 


13 


.808 


.875 


12 


.916 


.818 


1 1 


.973 


.754 


10 


.994 


.687 


9 


.999 


.618 


20 


.019 


.999 


19 


.051 


.998 


18 


.116 


.993 


17 


.225 


.985 


16 


.378 


.968 


15 


.557 


.941 


14 


.731 


.902 


13 


.866 


.852 


12 


.948 


.793 


1 1 


.985 


.729 


10 


.997 


.663 


20 


.030 


.999 


19 


.076 


.996 


18 


.162 


.990 


17 


.294 


.978 


16 


.463 


.957 


1 5 


.645 


.925 


14 


.802 


.881 


13 


.912 


.827 


12 


.970 


.768 


1 1 


.992 


.705 



.600 
.650 



.700 



.750 



.300 



.850 



.900 



10 .999 .641 

21 .033 .999 

20 .085 .996 

19 .182 .989 

18 .326 .975 

17 .504 .953 

16 .683 .920 



.<350 



24 


.646 


.964 


23 


.879 


.929 


22 


.970 


.890 


21 


.995 


.850 


^0 


.999 


.810 



POPULATION 26 - 28 
F X K D F 

.044 
.046 



15 


.831 


.876 


POPULATION 


28 


14 


.927 


.824 










13 


.975 


.766 


.005 


1 


.135 


.999 


12 


.994 


.710 


.007 


1 


.189 


.998 


1 1 


.999 


.651 


.009 


1 


.242 


.997 


22 


.034 


.999 


.010 


1 


.269 


.996 


21 


.093 


.995 


.01 1 


1 


.296 


.995 


20 


.202 


.988 


.012 


1 


.322 


.994 


19 


.360 


.973 


.013 


1 


.349 


.993 


18 


.546 


.949 


.ni4 


1 


.375 


.992 


17 


.724 


.915 


.015 


2 


.066 


.999 


16 


.860 


.871 




1 


.401 


.990 


15 


.942 


.822 


.016 


2 


.075 


.999 


14 


.981 


.769 




1 


.427 


.989 



13 .995 .714 

12 .999 .659 

23 .032 .999 

22 .098 .995 

21 .221 .987 

20 .396 .971 

19 .591 .945 



18 .766 .910 

17 .889 .867 

16 .957 .819 

15 .987 .769 

14 .997 .718 

13 .999 .667 

24 .028 .999 



23 .100 .995 

22 .240 .986 

21 .436 .969 

20 .642 .941 

19 .81 1 .905 

18 .918 .862 

17 .972 .816 



.950 



?3 .545 .966 
22 .777 .934 
21 .915 .896 
20 .975 .854 
19 .994 .812 
18 .999 .769 
25 .277 .990 



,ni7 



.018 



.019 



.020 



.021 



.022 



.023 



,024 



.025 



.026 



.028 



16 .992 .769 

15 .998 .721 

25 .017 .999 .030 

24 .094 .996 

23 .258 .986 

22 .483 .967 .032 

21 .702 .938 



20 .861 .900 

19 .948 .858 .034 

18 .984 .814 

17 .996 .769 

16 .999 .724 .036 

25 .072 .997 

24 .273 .987 



.038 



.040 



.042 



2 .083 .999 



1 


.453 


.987 


2 


.093 


.999 


1 


.479 


.985 


2 


.102 


.999 


1 


.504 


.982 


2 


.1 12 


.999 


1 


.530 


.980 


2 


.122 


.998 


1 


.555 


.977 


2 


.133 


.998 


1 


.579 


.973 


2 


.143 


.993 


1 


.604 


.970 


2 


.155 


.997 


1 


.627 


.966 


2 


.166 


.997 


1 


.651 


.961 


2 


.178 


.997 


1 


.674 


.956 


3 


.042 


.999 


2 


.202 


.996 


1 


.718 


.945 


3 


.050 


.999 


2 


.227 


.995 


1 


.760 


.932 


3 


.059 


.999 


2 


.253 


.993 


1 


.798 


.916 


3 


.069 


.999 


2 


.280 


.992 


1 


.834 


.899 


3 


.079 


.999 


2 


.308 


.990 



1 .865 .879 



.091 .998 

.336 .988 

.893 .857 

.103 .998 

.365 .986 

.917 .833 

.1 16 .998 



,048 



.050 



,052 



.054 



.056 



.058 



.060 



.062 



.064 



.066 



.068 



,070 



.075 



2 


.394 


.984 


1 


.955 


.808 


3 


.1 50 


.997 


2 


.424 


.981 


1 


.95? 


.783 


4 


.0 56 


.999 


3 


. 144 


.997 


2 


.454 


.977 


1 


.96S 


.757 


4 


.04? 


.999 


3 


.160 


.996 


2 


.484 


.974 


1 


.975 


.731 


4 


.04P 


.999 


3 


.175 


.995 


2 


.514 


.970 


1 


.98? 


.706 


4 


.054 


.999 


3 


.19? 


.994 


2 


.544 


.965 


1 


.988 


.681 


4 


.C61 


.999 


3 


.209 


.993 


2 


.573 


.960 


1 


.991 


.658 


4 


.068 


.999 


3 


.227 


.992 


2 


.60^ 


.954 


1 


.994 


.636 


4 


.076 


.998 


3 


.24^ 


.991 


2 


.655 


.948 


1 


.996 


.614 


4 


.085 


.998 


3 


.265 


.990 


2 


.66-^ 


.941 


1 


.997 


.594 


4 


.09^ 


.998 


3 


.284 


.989 


2 


.688 


.934 


1 


.998 


.575 


5 


.029 


.999 


4 


.103 


.997 


3 


.304 


.987 


2 


.714 


.926 


1 


.999 


.558 


5 


.052 


.999 


4 


.113 


.997 


3 


.325 


.985 


2 


.740 


.917 


1 


.999 


.541 


5 


.056 


.999 


4 


.123 


.997 


3 


.346 


.964 


2 


.76S 


.908 


1 


.999 


.525 


5 


.04 1 


.999 


4 


.1 54 


.996 


3 


.367 


.981 


2 


.788 


.898 


5 


.053 


.999 


4 


. 164 


.995 


3 


.42? 


.975 



40 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 



23 



.075 
.080 



.085 



,090 



,095 



100 



105 



110 



.115 



120 



125 



130 



135 



em .871 

067 .998 
196 .993 
478 .968 
885 .840 
025 .999 
083 .998 



232 .990 
534 .959 
920 .808 
033 .999 
102 .997 
270 .988 
590 .948 



946 
042 
123 
310 
b44 
965 
052 



147 
352 
696 
978 
064 
172 
396 



744 
986 
026 
077 
200 
442 
789 



992 
032 
093 
231 

488 
829 
995 



.040 
.110 
.263 
.534 
.864 
.997 
.048 



.129 
.297 
.580 
.894 
.998 
.058 
.150 



.333 

.625 
.918 
.999 
.024 
.069 
.173 



.774 
,999 
,996 
,984 
,936 
,740 
,999 



,995 
.980 
,921 
,708 
,998 
,993 
,975 



,905 
.677 
,999 
,998 
,991 
,969 
,887 



,647 
,999 
,997 
,989 
.962 
.867 
.620 



.999 
.996 
.986 
.954 
.845 
.595 
.999 



.995 
.983 
.945 
.823 
.571 
.998 
.994 



.980 
.935 
.800 
.549 
.999 
.998 
.992 



il35 



,140 



.145 



.150 



155 



.160 



,165 



,170 



.190 



5 


.370 


.975 


.190 


3 


.999 


.564 


4 


.668 


.923 


.200 


10 


.033 


.999 


3 


.938 


.777 




9 


.082 


.997 


2 


.999 


.529 




8 


.180 


.991 


3 


.030 


.999 




7 


.349 


.975 


7 


.082 


.997 




6 


.588 


.937 


6 


.197 


.991 




5 


.837 


.853 


5 


.408 


.971 




4 


.976 


.710 


4 


.710 


.910 




3 


.999 


.536 


3 


.954 


.754 


.210 


10 


.045 


.998 


8 


.036 


.999 




9 


.106 


.995 


7 


.096 


.996 




8 


.223 


.987 


6 


.223 


.989 




7 


.41 1 


.967 


5 


.448 


.965 




6 


.656 


.920 


4 


.749 


.897 




5 


.882 


.825 


3 


.967 


.731 




4 


.986 


.678 


8 


.043 


.999 


.220 


1 1 


.024 


.999 


7 


.112 


.996 




10 


.060 


.998 


6 


.251 


.98b 




9 


.136 


.997 


5 


.487 


.959 




8 


.270 


.982 


4 


.785 


.882 




7 


.474 


.957 



.976 .709 

.052 .998 

.129 .995 

.231 .983 

.527 .952 

.319 .866 

.933 .688 



.022 .999 
.061 .998 
.148 .993 
.312 .930 
.567 .944 
.848 .85C 
.988 .667 



9 .027 .999 
8 .072 ,997 
.168 .992 
.344 .977 
.606 .935 
.875 .832 
.992 .648 



.032 .999 

.083 .997 

.190 .990 

.377 ,973 

.644 .926 

.898 .315 

.994 .629 



180 9 .045 .998 

8 .110 .996 

7 .238 ,986 

6 .447 .963 

5 .717 .904 

4 .934 .779 

3 .997 .595 



10 .023 .999 

9 .062 ,996 

.143 .993 

.291 .981 

.518 .951 

.781 .880 

.959 ,744 



,530 



,240 



. ?60 



.270 



6 .720 .901 

5 .918 .796 

4 .992 .648 

11 .032 .999 

10 .079 .997 

9 .169 .991 

3 ,322 ,977 



7 

6 

5 

4 

12 

1 1 

10 



.539 
.778 

.945 
.996 
.017 
.044 
.101 



,203 
,378 

,603 
,828 
,964 
,993 



.250 12 .023 



.945 
.880 
.767 
.621 
.999 
,998 
,995 



,988 
.970 
,931 
,857 
.739 
.595 
.999 



1 1 

10 

9 

3 

7 



.058 .998 

.127 .994 

.250 .98" 

,436 .962 

.665 .916 

.370 .833 

.977 .711 



4 

12 

1 1 

10 

9 

8 

7 



.999 .571 

.031 .999 

.074 .997 

.158 .991 

.297 .979 

.496 .952 

.722 .899 



1 1 
10 



6 .905 .808 

5 .986 .685 

4 .999 .549 

13 .016 .999 

12 .041 .998 

095 .996 

192 ,989 



.270 



,280 



.290 



,300 



,310 



,320 



.330 



9 


,34B 


,973 


8 


,556 


.941 


7 


,775 


.880 


6 


,95-' 


.783 


5 


,991 


.660 


13 


,025 


.999 


12 


,054 


.998 


1 1 


,110 


.994 


10 


,251 


.985 


9 


,401 


.966 


8 


,6iu 


.928 


7 


,821 


.860 


6 


,95? 


.759 


5 


,995 


.637 


13 


,C29 


.999 


12 


,C69 


.997 


1 1 


.146 


.992 


10 


.274 


.981 


9 


.456 


.958 


8 


,671 


.913 


7 


,861 


.839 


6 


,96^ 


.735 


5 


,997 


.615 


14 


,01 5 


.999 


13 


,05« 


.993 


12 


,083 


.996 


1 1 


,177 


.990 


10 


,320 


.976 


9 


,51? 


.948 


8 


,724 


.898 


7 


,89"^ 


.817 


6 


,973 


.712 


5 


,990 


.595 


14 


,020 


.999 



13 .050 .998 



12 


,10Q 


.994 


1 1 


,21? 


.987 


10 


,369 


.970 


9 


,569 


.937 


8 


,773 


.881 


7 


,925 


.796 


6 


,986 


.690 


5 


,999 


.576 


14 


,027 


.999 


13 


.064 


.997 


12 


.1 54 


.993 


1 1 


.251 


.983 


10 


.420 


.963 


9 


.624 


.925 


8 


.816 


.363 


7 


.94-^ 


.774 


6 


.99 1 


.669 


5 


.999 


.558 


14 


.055 


.999 


13 


.080 


.996 


12 


.16? 


.991 


1 1 


.293 


.978 


10 


.473 


.955 


9 


.676 


.912 


8 


.e5u 


.844 


7 


.95Q 


.753 


6 


.99U 


.649 



,340 15 .013 .999 



41 



FINITE QUEUING TABLES 
X M D F X 



,360 



,380 



POPULATION 28 - 30 
F X M U F 



,340 14 .Ot!5 .998 



.460 16 .127 .993 



.560 13 .918 .823 



.800 25 .073 .997 



13 


.099 


.995 


15 


.?33 


.984 


12 


.972 


.764 


24 


.186 


.991 


12 


.194 


.988 


14 


.381 


.966 


1 1 


.993 


.701 


23 


.350 


.977 


1 1 


.338 


.973 


13 


.558 


.940 


10 


.999 


.638 


22 


.560 


.956 


10 


.526 


.945 


12 


.734 


.896 .580 21 


.027 


.999 


21 


.743 


.925 


9 


.726 


.897 


1 1 


.873 


.841 


20 


.067 


.997 


20 


.875 


.888 


8 


.886 


.825 


10 


.956 


.773 


19 


.141 


.992 


19 


.950 


.847 


7 


.971 


.732 


9 


.990 


.698 


18 


.257 


.982 


18 


.984 


.803 


6 


.996 


.630 


8 


.998 


.621 


17 


.41 1 


.965 


17 


.996 


.759 


15 


.031 


.999 .430 19 


.016 


.999 


16 


.585 


.939 


16 


.999 


.714 


14 


.072 


.997 


18 


.042 


.996 


15 


.749 


.901 .850 26 


.072 


.997 


13 


.147 


.992 


17 


.092 


.995 


14 


.875 


.853 


25 


.21 1 


.990 


12 


.268 


.981 


16 


.178 


.989 


13 


.951 


.798 


24 


.417 


.975 


1 1 


.436 


.960 


15 


.307 


.977 


12 


.965 


.738 


23 


.657 


.950 


10 


.631 


.923 


14 


.473 


.955 


1 1 


.997 


.677 


22 


.81 3 


.913 


9 


.813 


.865 


13 


.652 


.921 .600 22 


.016 


.999 


21 


.921 


.880 


8 


.935 


.786 


12 


.81 1 


.872 


21 


.043 


.998 


20 


.973 


.840 


7 


.987 


.693 


1 1 


.920 


.812 


20 


.100 


.995 


19 


.99 3 


.798 


6 


.999 


.595 


10 


.976 


.742 


19 


.196 


.968 


18 


.999 


.756 


16 


.021 


.999 


9 


.995 


.669 


18 


.334 


.975 .900 27 


.058 


.998 


15 


.051 


.998 


a 


.999 


.595 


17 


.502 


.953 


26 


.254 


.990 


14 


.1 10 


.994 .500 19 


.027 


.999 


16 


.675 


.921 


25 


.49? 


.972 


13 


.209 


.986 


18 


.064 


.997 


15 


.821 


.879 


24 


.751 


.944 


12 


.354 


.971 


17 


.133 


.992 


14 


.920 


.828 


23 


.887 


.910 


1 1 


.538 


.943 


16 


.242 


.983 


13 


.972 


.772 


22 


.963 


.872 


10 


.728 


.897 


15 


.392 


.967 


12 


.993 


.714 


21 


.990 


.833 


9 


.880 


.831 


14 


.567 


.939 


1 1 


.999 


.655 


20 


.998 


.794 


8 


.965 


.749 


13 


.738 


.899 .650 23 


.019 


.999 .950 27 


.250 


.991 



,400 



7 .994 .657 

17 .014 .999 

15 .080 .996 

14 .159 .990 

13 .283 .979 

12 .449 .958 

11 .638 .922 



.520 



12 .872 .845 
11 .953 .782 
10 .988 .714 
9 .998 .643 
20 .017 .999 
19 .043 .998 
18 .096 .995 



22 .052 .998 

21 .120 .994 

20 .231 .985 

19 .383 .970 

.559 .946 

.726 .913 



18 
17 



26 .610 .969 

25 .856 .938 

24 .961 .902 

23 .992 .865 

22 .999 .827 



16 .857 .870 



.420 



.440 



10 .811 .868 

9 .928 .796 

8 .983 .713 

7 .993 .625 

17 .024 .999 

16 .057 .997 

15 .119 .993 



,460 



14 


.222 


.985 


13 


.368 


.969 


12 


.548 


.941 


1 1 


.731 


.897 


10 


.876 


.836 


9 


.960 


.762 


8 


.992 


.680 


7 


.999 


.595 


18 


.015 


.999 


17 


.039 


.998 


16 


.086 


.996 


15 


.170 


.990 


14 


.296 


.978 


1 3 


.462 


.956 


12 


.645 


.921 


1 1 


.810 


.870 


10 


.924 


.804 


9 


.979 


.729 


8 


.996 


.649 


18 


.026 


.999 



.540 



.560 



17 .186 .988 

16 .317 .976 

15 .483 .954 

14 .659 .921 

13 .813 .875 

12 .919 .81b 

11 .974 .754 



10 


.994 


.687 


9 


.999 


.618 


20 


.028 


.999 


19 


.066 


.997 


18 


.138 


.992 


17 


.250 


.983 


16 


.402 


.966 


15 


.576 


.939 


14 


.743 


.900 


13 


.873 


.849 


12 


.951 


.790 


1 1 


.986 


.727 


10 


.997 


.661 


21 


.017 


.999 



17 .061 .997 



20 .044 .996 

19 .099 .995 

18 .191 .988 

17 .326 .975 

16 .493 .953 

15 .667 .921 

14 .816 .877 



.700 



.750 



15 


.939 


.821 


POPULATION 


30 


14 


.980 


.768 










13 


.995 


.714 


.004 


1 


.116 


.999 


12 


.999 


.659 


.007 


1 


.203 


.998 


24 


.020 


.999 


.009 


1 


.260 


.997 


23 


.060 


.997 


.010 


1 


.289 


.996 


22 


.141 


.993 


.01 1 


1 


.317 


.995 


21 


.269 


.983 


.012 


1 


.346 


.994 


20 


.437 


.965 


.013 


1 


.374 


.993 


19 


.617 


.939 


.014 


2 


.067 


.999 


18 


.777 


.904 




1 


.403 


.991 


17 


.891 


.862 


.015 


2 


.076 


.999 


16 


.957 


.814 




1 


.451 


.989 


15 


.986 


.765 


.016 


2 


.085 


.999 


14 


.997 


.714 




1 


.458 


.987 


13 


.999 


.663 


.017 


2 


.095 


.999 


25 


.021 


.999 




1 


.486 


.985 


24 


.068 


.997 


.018 


2 


.105 


.999 


23 


.163 


.991 




1 


.51 ^ 


.983 


22 


.311 


.980 


.019 


2 


.116 


.999 


21 


.495 


.961 




1 


.54 1 


.980 



.800 



20 .678 .932 
19 .826 .896 
18 .922 .854 
17 .972 .809 
16 .992 .762 
15 .998 .714 
26 .019 .999 



.020 



.021 



.022 



.023 



2 .127 .998 

1 .567 .976 

2 .159 .998 

1 .594 .973 

2 .151 .998 

1 .620 .969 

2 .163 .997 



42 



FINITE QUEUING TABLES 
X M D F X 



,023 

.024 



,025 



,026 



1 .645 .965 

? .175 .997 

1 .670 .960 

2 .188 .996 

1 .694 .954 

? .201 .996 

1 .718 .948 



.060 



.062 



5 .030 .999 

4 .106 .997 

3 .310 .987 
2 .723 .927 
1 .999 .55b 

5 .034 .999 

4 .117 .997 



110 



il 15 



4 .520 .959 

3 .856 .857 
2 .997 .605 
7 .047 .999 
6 .125 .996 

5 .289 .985 

4 .570 .950 



,160 



1 165 



)N 


30 - 


- 30 




D 


F 


5 


.663 


.924 


4 


.910 


.81 1 


3 


.996 


.624 


9 


.04^ 


.999 


8 


.105 


.996 


7 


.k27 


.988 


6 


.431 


.967 



,028 



,030 



,032 



.034 



.036 



,038 



,040 



,042 



,044 



.046 



.048 



,050 



.052 



.054 



.056 



,058 



3 .051 .999 

2 .229 .995 

1 .763 .935 

3 .060 .999 

2 .257 .994 
1 .805 .918 

3 .071 .999 



2 


.286 


.992 


1 


.843 


.899 


3 


.083 


.999 


2 


.316 


.990 


1 


.876 


.877 


3 


.095 


.998 


? 


.347 


.988 


1 


.905 


.853 


3 


.109 


.998 


? 


.378 


.986 


1 


.929 


.827 


3 


.123 


.997 


2 


.410 


.983 


1 


.948 


.800 


3 


.138 


.997 


2 


.442 


.980 


1 


.963 


.772 


4 


.040 


.999 


3 


.154 


.996 


2 


.474 


.977 


1 


.974 


.744 


4 


.046 


.999 


3 


.171 


.996 


2 


.506 


.972 


1 


.982 


.716 


4 


.053 


.999 


3 


.189 


.995 


2 


.539 


.968 


1 


.988 


.689 


4 


.060 


.999 


3 


.208 


.994 


2 


.571 


.963 


1 


.992 


.663 


4 


.068 


.999 


3 


.227 


.993 


2 


.603 


.957 


1 


.995 


.639 


4 


.077 


.998 


3 


.Z47 


.992 


2 


.634 


.951 


1 


.997 


.616 


4 


.086 


.998 


3 


.267 


.991 


2 


.665 


.944 


1 


.998 


.595 


4 


.096 


.998 


3 


.288 


.989 


2 


.695 


.936 



.064 



.066 



.068 



.070 



.075 



.080 



.085 



.090 



.095 



.100 



105 



3 .332 .986 

2 .751 .916 
5 .038 .999 

4 .128 .997 

3 .355 .984 
2 .777 .90b 

5 .043 .999 



.120 



.110 



1 .999 .574 



4 


.140 


.996 


3 


.378 


.982 


2 


.802 


.897 


5 


.048 


.999 


4 


.153 


.995 


3 


.402 


.979 


2 


.825 


.885 


5 


.054 


.999 


4 


.166 


.995 


3 


.426 


.976 


2 


.847 


.373 


5 


.069 


.996 


4 


.201 


.993 


3 


.486 


.969 


2 


.893 


.340 


6 


.027 


.999 


5 


.088 


.998 


4 


.240 


.990 


3 


.547 


.959 


2 


.929 


.805 


6 


.036 


.999 


5 


.108 


.997 


4 


.282 


.987 


3 


.607 


.946 


2 


.955 


.766 


6 


.046 


.999 


5 


.132 


.996 


4 


.326 


.984 


3 


.665 


.934 


2 


.972 


.732 


6 


.057 


.999 


5 


.158 


.994 


4 


.372 


.979 


3 


.720 


.918 


2 


.934 


.697 


6 


.071 


.998 


5 


. 187 


.993 


4 


.421 


.973 


3 


.771 


.899 


2 


.991 


.664 


7 


.030 


.999 


6 


.087 


.997 


5 


.219 


.991 


4 


.470 


.967 


3 


.816 


.879 


2 


.995 


.634 


7 


.038 


.999 


6 


.105 


.997 


5 


.253 


.986 



125 



130 



.135 



140 



I 145 



.150 



>155 



3 .390 .833 
2 .998 .579 
7 .057 .998 
5 .147 .994 
5 .327 .981 

4 .619 .939 



.170 



160 



3 


.918 


.808 


2 


.999 


.555 


8 


.024 


.999 


7 


.069 


.998 


6 


.171 


.993 


5 


.367 


.977 


4 


.666 


.927 


3 


.940 


.783 


8 


.030 


.999 


7 


.083 


.997 


6 


.197 


.991 


5 


.409 


.972 


4 


.712 


.914 


3 


.957 


.758 


8 


.037 


.999 


7 


.098 


.997 


6 


.226 


.989 


5 


.451 


.966 


4 


.754 


.899 


3 


.970 


.734 


8 


.045 


.999 


7 


.1 15 


.996 


6 


.256 


.987 


5 


.494 


.960 


4 


.793 


.884 


3 


.979 


.71C 


8 


.055 


.998 


7 


.134 


.995 


6 


.288 


.984 


5 


.537 


.952 


4 


.828 


.867 


3 


.986 


.687 


9 


.024 


.999 


3 


.065 


.998 


7 


.155 


.993 


6 


.322 


.980 


5 


.580 


.944 


4 


.860 


.849 


3 


.991 


.665 


9 


.029 


.999 


8 


.077 


.997 


7 


.177 


.992 


6 


.357 


.976 


5 


.622 


.935 


4 


.887 


.830 


3 


.994 


.644 


9 


.036 


.999 


8 


.090 


.997 


7 


.201 


.990 


6 


.394 


.972 



.180 



,190 



.200 



,210 



.220 



.230 



5 .70? .913 

4 .950 .792 

3 .997 .606 

10 .019 .999 

9 .051 .998 

8 .121 .995 

7 .254 .986 



6 .469 .961 

5 .759 .901 

4 .946 .773 

3 .995 ,583 

10 .020 .999 

9 .070 .997 

8 .153 .993 



7 .31^ .980 

6 .546 .948 

5 .806 .874 

4 .969 .735 

3 .999 .555 

10 .059 .999 

9 .094 .996 



8 


.200 


.990 


7 


.37fl 


.973 


6 


.621 


.932 


5 


.66? 


.845 


4 


.98^ 


.699 


1 1 


.021 


.999 


10 


.054 


.998 


9 


.12-^ 


.995 


8 


.249 


.985 


7 


.446 


.963 


6 


.69"^ 


.913 


5 


.90S 


.814 


4 


.991 


.665 


1 1 


.050 


.999 


10 


.07^ 


.997 


9 


.157 


.992 


8 


.303 


.980 


7 


.515 


.952 


6 


.75^^ 


.892 


5 


.953 


.782 


4 


.99S 


.634 


1 1 


.041 


.999 


10 


.09S 


.996 


9 


.19-7 


.989 


8 


.361 


.974 


7 


.585 


.938 


6 


.816 


.868 


5 


.961 


.751 


4 


.993 


.606 


12 


.023 


.999 


1 1 


.056 


.998 


10 


.123 


.994 


9 


.24? 


.985 


8 


.42-^ 


.965 


7 


.65? 


.923 



43 



FINITE QUEUING TABLES 
X M D F X 



.230 



.240 



.250 



6 


.864 


.842 


5 


.976 


.721 


U 


.999 


.580 


12 


.031 


.999 


1 1 


.074 


.997 


10 


.155 


.992 


9 


.291 


.981 


8 


.487 


.955 


7 


.715 


.905 


6 


.902 


.816 


5 


.986 


.693 


a 


.999 


.556 


13 


.017 


.999 



.300 



.310 



12 .042 .998 



M 





F 


X 


M 


D 


F 


10 


.437 


.962 


.380 


10 


.843 


.857 


9 


.641 


.924 




9 


.945 


.784 


8 


.830 


.861 




8 


.988 


.701 


7 


.950 


.771 




7 


.999 


.614 


6 


.993 


.666 


.400 


17 


.035 


.999 


15 


.017 


.999 




16 


.076 


.996 


14 


.041 


.99b 




15 


.150 


.992 


13 


.090 


.996 




14 


.264 


.982 


12 


.177 


.990 




13 


.420 


.964 


1 1 


.312 


.977 




12 


.601 


.933 


10 


.494 


.953 




1 1 


.775 


.886 


9 


.697 


.909 




10 


.903 


.823 


8 


.869 


.840 




9 


.972 


.748 


7 


.966 


.749 




8 


.995 


.666 



POPULATION 
X M 
.500 



.520 



ON 


30 - 


- 30 


M 


D 


F 


17 


.25? 


.983 


16 


.398 


.967 


15 


.568 


.941 


14 


.753 


.904 


13 


.865 


.854 


12 


.947 


.796 


11 


.98=. 


.732 


10 


.997 


.667 


21 


.021 


.999 


20 


.051 


.998 


19 


.10'' 


.994 


18 


.200 


.988 


17 


.351 


.975 


16 


.49"^ 


.954 



1 1 


.095 


.996 


10 


.192 


.989 


9 


.345 


.975 


8 


.552 


.944 


7 


.773 


.885 


6 


.932 


.789 


5 


.992 


.666 


260 13 


.023 


.999 


12 


.056 


.998 


1 1 


.121 


.994 


10 


.233 


.986 


9 


.402 


.967 


8 


.616 


.930 


7 


.823 


.864 


6 


.954 


.763 


5 


.995 


.641 


270 13 


.032 


.999 


12 


.073 


.997 


1 1 


.151 


.992 


10 


.279 


.981 


9 


.462 


.959 


8 


.676 


.915 


7 


.866 


.841 


6 


.970 


.737 


5 


.997 


.617 


280 14 


.017 


.999 


13 


.042 


.998 


12 


.093 


.996 



.320 



,290 



.300 



11 .185 .989 

10 .329 .976 

9 .522 .949 

8 .733 .898 

7 .901 .818 

6 .981 .712 

5 .999 .595 



.330 



,340 



.360 



6 .996 .645 

15 .023 .999 

14 .054 .998 

13 .113 .994 

12 .213 .987 

11 .362 .971 

10 .552 .943 



9 .748 .893 

3 .901 .820 

7 .977 .727 

6 .997 .625 

15 .030 .999 

14 .068 .997 

13 .139 .993 



12 .253 .983 

11 .414 .965 

10 .608 .931 

9 .795 .876 

8 .927 .799 

7 .985 .706 

6 .999 .606 



16 .016 .999 

15 .040 .998 

14 .086 .996 

13 .169 .990 

12 .296 .979 

11 .468 .957 

10 .663 .916 



9 .836 .856 

8 .947 .778 

7 .990 .685 

6 .999 .586 

16 .029 .999 

15 .065 .997 

14 .132 .993 



."20 



14 


.023 


.999 


13 


.240 


.984 


13 


.055 


.998 


12 


.392 


.967 


12 


.117 


.994 


1 1 


.578 


.937 


1 1 


.223 


.986 


10 


.762 


.889 


10 


.382 


.969 


9 


.902 


.821 


9 


.582 


.937 


a 


.974 


.738 


8 


.785 


.880 


7 


.996 


.646 


7 


.929 


.795 .380 17 


.020 


.999 


6 


.988 


.688 


16 


.048 


.998 


5 


.99° 


.575 


15 


.101 


.995 


14 


.031 


.999 


14 


.191 


.98b 


1 3 


.071 


.997 


13 


.324 


.975 


12 


.145 


.992 


12 


.496 


.952 


1 1 


.266 


.982 


1 1 


.682 


.914 



.440 



.460 



.480 



.500 



18 .024 .999 

17 .056 .997 

16 .116 .994 

15 .212 .986 

14 .350 .972 

13 .521 .948 

12 .700 .910 



1 1 .850 .,856 

10 .945 .789 

9 .986 .713 

8 .998 .635 

19 .017 .999 

18 .041 .998 

17 .087 .996 



16 .167 .990 

15 .288 .979 

14 ,446 .960 

13 .623 .929 

12 .787 .883 

11 .906 .824 

10 .970 .755 



9 .994 .681 

8 .999 .606 

19 .028 .999 

18 .064 .997 

17 .129 .993 

16 .232 .985 

15 .375 .970 



14 .545 .944 

13 .717 .906 

12 .857 .855 

1 1 .945 .793 

10 .985 .724 

9 .997 .652 

20 .019 .999 



19 .046 .998 

18 .098 .995 

17 .184 .989 

16 .310 .977 

15 .470 .957 

14 .643 .926 

13 .799 .881 



12 .910 .826 

11 .970 .762 

10 .993 .694 

9 .999 .625 

20 .032 .999 

19 .072 .997 

18 .143 .992 



.540 



.560 



.580 



.600 



15 .663 .923 

14 .81 1 .880 

13 .91'=. .827 

12 .971 .767 

11 .993 .705 

10 .999 .641 

21 .055 .999 



20 


.079 


.996 


19 


.155 


.991 


18 


.270 


.981 


17 


.421 


.965 


16 


.590 


.938 


15 


.750 


.901 


14 


.874 


.85t' 


13 


.949 


.799 


12 


.985 


.740 


1 1 


.997 


.679 


10 


.99P 


.617 


22 


.023 


.999 


21 


.056 


.997 


20 


.117 


.994 


19 


.215 


.986 


18 


.352 


.973 


17 


.516 


.952 


16 


.683 


.920 


15 


.824 


.878 


14 


.920 


.828 


13 


.972 


.772 


12 


.993 


.714 


1 1 


.999 


.655 


23 


.014 


.999 


22 


.05R 


.998 


21 


.085 


.996 


20 


.167 


.990 


19 


.288 


.980 


18 


.44^ 


.963 


17 


.61 2 


.936 


16 


.766 


.899 


15 


.883 


.854 


14 


.953 


.802 


13 


.985 


.746 


12 


.997 


.690 


1 1 


.999 


.532 


23 


.024 


.999 


22 


.059 


.997 


21 


.125 


.993 


20 


.250 


.986 


19 


.37? 


.972 


18 


.553 


.949 



44 



FINITE QUEUING TABLES 
X M D F X 



.600 17 .702 .918 

16 .837 .877 

15 .927 .829 

m .974 .776 

13 .993 .722 

12 .999 .667 

,650 2U .031 .999 



23 .076 .996 

22 .158 .991 

21 .281 .982 

20 .439 .965 

19 .610 .940 

18 .764 .906 

17 .879 .865 



16 .949 .818 

15 .983 .769 

14 .996 .718 

13 .999 .667 

,700 25 .039 .998 

24 .096 .995 

23 .196 .989 



22 .339 .977 

21 .511 .958 

20 .681 .930 

19 .821 .894 

18 .916 .853 

17 .967 .808 

16 .990 .762 



.750 



,800 



,850 



15 .997 .714 

26 .046 .998 

25 .113 .994 

24 .240 .986 

.405 .972 

.587 .950 



23 
22 



21 .752 .920 



20 .873 .883 

19 .946 .842 

18 .981 .799 

17 .995 .755 

16 .999 .71 1 

27 .053 .998 

26 .143 .993 



25 .292 .984 

24 .481 .966 

23 .670 .941 

22 .822 .909 

21 .919 .872 

20 .970 .832 

19 .991 .791 



,900 



18 .998 .750 

28 .055 .998 

27 .171 .993 

26 .356 .981 

25 .571 .960 

24 .760 .932 

23 .888 .899 



22 .957 .862 

21 .987 .823 

20 .997 .784 

19 .999 .745 

29 .047 .999 

28 .200 .992 

27 .441 .977 



.900 26 .683 .953 
25 .856 .923 
24 .947 .888 
23 .985 .852 
22 .996 .815 
21 .999 .776 

.950 29 .226 .993 



28 .574 .973 
27 .831 .945 
26 .951 .912 
25 .989 .877 
24 .998 .342 



.020 



.021 



,022 



.023 



.024 



.025 



,026 



.028 



.030 



.032 



.034 



1 .847 .902 



.036 



,038 



,040 



.042 



,044 



.046 



.048 



,050 



,052 



,054 



1 .576 .977 

2 .143 .996 

1 .604 .973 

2 .156 .998 .056 

1 .632 .969 

2 .170 .997 
1 .659 .964 



2 .133 .997 .058 

1 .686 .959 

2 .197 .996 

1 .712 .953 

2 .21 1 .996 .060 
1 .737 .946 

3 .050 .999 



2 .226 .995 

1 .761 .939 .062 

3 .060 .999 

2 .256 .994 

1 .306 .922 

3 .072 .999 .064 

2 .287 .993 



,066 



.068 



POPULATION 


32 


.004 


1 


.124 


.999 


.007 


1 


.217 


.998 


.008 


1 


.247 


.997 


.010 


1 


.309 


.996 


.01 1 


1 


.339 


.995 


.012 


1 


.370 


.993 


.01 3 


2 


.066 


.999 




1 


.400 


.992 


.014 


2 


.076 


.999 




1 


.430 


.990 


.015 


2 


.086 


.999 




1 


.460 


.988 


.015 


2 


.096 


.999 




1 


.439 


.986 


.017 


2 


.107 


.999 




1 


.519 


.983 


.018 


2 


.1 19 


.999 




1 


.548 


.980 


.019 


2 


.131 


.998 



3 


.084 


.999 


2 


.320 


.991 


1 


.882 


.879 


3 


.098 


.998 


2 


.353 


.989 



3 


.1 13 


.993 


2 


.386 


.986 


1 


.937 


.824 


3 


.128 


.997 


2 


.420 


.983 


1 


.956 


.794 


4 


.037 


.999 


3 


.145 


.997 


2 


.455 


.980 


1 


.970 


.764 


4 


.043 


.999 


3 


.162 


.996 


2 


.490 


.976 



1 .980 .734 



1 .912 .853 



4 


.050 


.999 


3 


.181 


.996 


2 


.525 


.972 


1 


.937 


.704 


4 


.058 


.999 


3 


.200 


.995 


2 


.559 


.967 


1 


.992 


.676 


4 


.066 


.999 


3 


.221 


.994 


2 


.594 


.961 


1 


.995 


.649 


4 


.075 


.999 


3 


.242 


.993 


2 


.628 


.955 


1 


.997 


.624 


4 


.0b5 


.993 


3 


.264 


.991 


2 


.661 


.947 


1 


.993 


.600 


0. 


.395 


.99P 


3 


.286 


.990 


2 


.593 


.939 


1 


.999 


.578 


4 


.106 


.998 


3 


.310 


.988 


2 


.724 


.930 


1 


.999 


.55P 


5 


.034 


.999 


4 


.117 


.997 


3 


.334 


.985 


2 


.754 


.921 


5 


.039 


.999 


4 


.130 


.997 


3 


.358 


.984 


2 


.782 


.910 


5 


.044 


.999 


4 


.143 


.996 


3 


.363 


.982 


2 


.809 


.899 


5 


.050 


.999 


4 


.156 


.996 


3 


.408 


.980 


2 


.334 


.886 


5 


.056 


.999 


4 


.171 


.995 


3 


.434 


.977 


2 


.356 


.873 


5 


.063 


.999 



.068 



.070 



.075 



.080 



,085 



,090 



.095 



,100 



,105 



,110 



,115 



,120 



ON 


30 ■ 


- 32 


M 


D 


F 


4 


.185 


.994 


3 


.460 


.974 


2 


.877 


.859 


5 


.070 


.993 


4 


.201 


.993 


3 


.486 


.970 


2 


.896 


.845 


6 


.02=5 


.999 


5 


.089 


.998 


4 


.24-5 


.991 


3 


.551 


.961 


2 


.934 


.806 


6 


.057 


.999 


5 


.11? 


.997 


4 


.287 


.988 


3 


.615 


.948 


2 


.96^^ 


.767 


6 


.04!? 


.999 


5 


.1 50 


.996 


4 


.335 


.984 


3 


.670 


.934 


2 


.977 


.728 


6 


.061 


.998 


5 


.166 


.994 


4 


.335 


.979 


3 


.757 


.916 


2 


.933 


.691 


7 


.025 


.999 


6 


.077 


.998 


5 


.^9°■ 


.992 


4 


.43P 


.973 


3 


.79r> 


.896 


2 


.99^ 


.656 


7 


.0 31 


.999 


6 


.C95 


.997 


5 


.233 


.990 


4 


.49? 


.965 


3 


.as-' 


.374 


2 


.99-' 


.624 


7 


.04? 


.999 


6 


.IIS 


.996 


5 


.271 


.987 


4 


.545 


.957 


3 


.877 


.849 


2 


.990 


.595 


7 


.051 


.999 


6 


.1 3« 


.995 


5 


.31 1 


.984 


4 


.599 


.946 


3 


.909 


.323 


2 


.999 


.563 


3 


.023 


.999 


7 


.06'= 


.998 


6 


.163 


.994 


5 


.353 


.980 


4 


.651 


.935 


3 


.955 


.796 


8 


.020 


.999 


7 


.079 


.998 


6 


.19^ 


.992 


5 


.397 


.975 


4 


.700 


.921 


3 


.955 


.769 



45 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 

F X M 



32 

F 



125 



.130 



8 .036 .999 

7 .095 .997 
6 .220 .990 
5 .UU2 .969 
n .747 .906 
3 .969 .743 

8 .045 .999 



.170 9 .076 .997 

8 .167 .992 

7 .328 .980 

6 .563 .947 

5 .822 .872 

4 .974 .731 

.180 10 .044 .999 



.240 
.250 



5 .995 .651 

13 .031 .999 

12 .071 .997 

11 .146 .993 

10 .271 .983 

9 .450 .962 

8 .665 .921 



.310 11 .427 .964 

10 .621 .931 

9 .806 .876 

8 .933 .798 

7 .987 .704 

6 .999 .605 

.320 16 .019 .999 



7 .113 .996 

6 .252 .988 
5 .488 .963 
4 .790 .890 
3 .980 .717 

,135 8 .054 .998 

7 .133 .995 



140 



.286 .985 

.535 .955 

.829 .872 

.987 .692 

.025 .999 

.066 .998 

.155 .994 



.190 



9 .103 .996 

8 .215 .989 

7 .398 .972 

6 .644 .930 

5 .878 .840 

4 .987 .692 

11 .025 .999 



10 .061 .998 

9 .136 .994 

8 .269 .984 

7 .471 .961 

6 .719 .909 

5 .921 .806 

4 .994 ,657 



.260 



7 ,859 .849 
6 .969 .746 



15 .04"^ .998 



5 


.997 


.625 


14 


.017 


.999 


13 


.042 


.998 


12 


.092 


.996 


1 1 


.182 


.990 


10 


.323 


.978 


9 


.515 


.952 


8 


.727 


.904 


7 


.898 


.825 


6 


.981 


.719 


5 


.999 


.601 



.330 



,270 14 .024 .999 



14 


.095 


.996 


13 


.181 


.990 


12 


.31? 


.978 


1 1 


.485 


.956 


10 


.679 


.917 


9 


.848 


.856 


8 


.95^ 


.776 


7 


.99? 


.683 


6 


.999 


.586 


16 


.026 


.999 


13 


.059 


.998 


14 


.119 


.994 


13 


.218 


.987 



145 



6 .322 .981 
5 .581 .946 
4 .862 .853 
3 .992 .668 
9 .030 .999 
8 .078 .997 

7 .179 .992 



.200 



11 .035 

10 .083 

9 .175 

8 .329 

7 .546 

6 .786 



.999 
.997 
.991 
.978 
.949 
.885 



5 .951 ,772 



13 
12 

1 1 

10 

9 

8 

7 



.056 
.118 
.223 
.379 
.579 
.783 
.929 



.998 
.994 
.987 
.971 
.940 
.884 
.800 



.340 



12 .363 .972 

11 .544 .946 

10 .75? .902 

9 .884 .837 

8 .96R .754 

7 .995 .662 

16 .055 .999 



150 



6 .360 .977 
5 .626 .937 
4 .892 .833 
3 .995 .646 
9 .037 .999 
8 .093 .997 

7 .205 .990 



.210 



4 .997 .625 

12 .020 .999 

11 .049 .99fc 

10 .110 .995 

9 .220 .988 

8 .393 .971 

7 .620 .933 



.280 



6 .989 .693 

5 .999 .579 

14 .033 .999 

13 .074 .997 

12 .148 .992 

11 .268 .983 

10 .439 .963 



15 .075 .997 

14 .147 .992 

13 .260 .983 

12 .416 .965 

11 .601 .935 

10 .78? .885 

9 .914 .817 



155 



.399 .973 

.670 .926 

.916 .812 

.997 .624 

.045 .999 

.109 .996 

.233 .988 



.220 



.843 .859 

.971 .739 

.999 .595 

.028 .999 

.067 .997 

10 .142 .993 

9 .271 .984 



6 

5 

4 

12 

1 1 



.290 



9 .642 .926 

3 .831 .864 

7 .951 .775 

6 .993 .669 

15 .019 .999 

14 .044 .998 

13 .094 .996 



a .978 .733 

7 .997 .643 

.360 17 .026 .999 

16 .059 .998 

15 .118 .994 

14 .214 .987 

13 .353 .973 



160 



6 
5 

4 

3 

10 

9 



.440 .968 
.712 .914 
.936 .792 
.998 .605 
.020 .999 
.054 .998 



.230 



8 .127 .995 



8 .461 .962 

7 .690 .916 

6 .889 .831 

5 .983 .708 

4 .999 .568 

12 .039 .999 

11 .039 .996 



12 .182 .990 

11 .318 .978 

.500 .954 

.702 .911 

.873 .842 

.968 .751 

.996 .646 



10 
9 
8 

7 
6 



.380 



12 .527 .948 

11 .710 .909 

10 .863 .850 

9 .955 .777 

8 .991 .694 

7 .999 .608 

18 .019 .999 



165 



170 



7 


.263 


.986 


6 


.481 


.962 


5 


.752 


.901 


4 


.952 


.771 


3 


.999 


.586 


10 


.025 


.999 


9 


.064 


.998 


8 


.146 


.994 


7 


.295 


.983 


6 


.522 


.955 


5 


.788 


.887 


4 


.965 


.751 


3 


.999 


.568 


10 


.031 


.999 



10 .180 .991 



.300 15 .025 .999 



.240 



9 


.327 


.978 


3 


.530 


.950 


7 


.755 


.895 


6 


.925 


.802 


5 


.991 


.678 


13 


.022 


.999 


12 


.053 


.990 


1 1 


.115 


.995 


10 


.223 


.987 


9 


.387 


.971 


8 


.599 


.937 


7 


.31 1 


.873 


6 


.951 


.774 



.310 



14 


.058 


.998 


13 


.1 19 


.994 


12 


.221 


.987 


1 1 


.371 


.972 


10 


.561 


.943 


9 


.756 


.894 


a 


.906 


.820 


7 


.979 


.727 


6 


.998 


.625 


15 


.034 


.999 


14 


.075 


.997 


13 


.148 


.992 


12 


.265 


.983 



.400 



17 .045 .998 

16 .093 .996 

15 .175 .990 

14 .297 .979 

13 .457 .959 

12 .658 .927 

11 .803 .878 



10 .921 .814 



9 


.975 


.738 


8 


.996 


.658 


18 


.054 


.999 


17 


.07-^ 


.997 


16 


.141 


.992 


15 


.247 


.984 



46 



FINITE QUEUING TABLES 
X M D F X 



.UOO 



.420 



.440 



.460 



.480 



.500 



14 


.393 


.968 


13 


.566 


.942 


12 


.738 


.901 


1 1 


.876 


.846 


10 


.958 


.777 


9 


.990 


.702 


8 


.999 


.625 


19 


.025 


.999 


13 


.056 


.998 


17 


.112 


.994 


16 


.203 


.988 


15 


.334 


.975 


14 


.496 


.954 


13 


.670 


.920 



12 .823 .872 

11 .927 .812 

10 .979 .742 

9 .996 .669 

20 .018 .999 

19 .042 .998 

18 .088 .996 



17 .165 .991 

16 .280 .981 

15 .431 .963 

14 .601 .936 

13 .764 .895 

12 .888 .841 

11 .961 .778 



10 


.990 


.710 


9 


.998 


.639 


20 


.031 


.999 


19 


.067 


.997 


18 


.132 


.993 


17 


.232 


.985 


16 


.369 


.971 


15 


.533 


.948 


14 


.701 


.914 


13 


.841 


.867 


12 


.934 


.810 


1 1 


.980 


.746 


10 


.996 


.679 


9 


.999 


.61 1 


21 


.022 


.999 


20 


.051 


.998 


19 


.103 


.995 


18 


.189 


.989 


17 


.312 


.978 


16 


.467 


.959 


15 


.635 


.930 


14 


.788 


.889 


13 


.900 


.838 


12 


.964 


.779 


1 1 


.991 


.716 


10 


.998 


.651 


22 


.015 


.999 


21 


.037 


.998 


20 


.079 


.996 


19 


.152 


.992 


18 


.260 


.983 


17 


.404 


.967 


16 


.568 


.943 


15 


.729 


.908 


14 


.858 


.862 



.500 



.520 



.540 



.560 



.580 



.600 



M 



D 



13 .941 .806 

12 .982 .749 

11 .996 .687 

10 .999 .625 

22 .026 .999 

21 .059 .997 

20 .119 .994 



19 .214 .987 

18 .345 .974 

17 .503 .954 

16 .667 .924 

15 .810 .884 

14 .911 .835 

13 .968 .779 



12 .991 .721 
11 .998 .661 
23 .018 .999 
22 .043 .998 
21 .092 .996 
20 .172 .990 
19 .289 .980 



18 .438 .964 

17 .602 .93b 

16 .756 .903 

15 .875 .858 

14 .948 .807 

13 .983 .751 

12 .996 .694 



11 .999 .637 
23 .030 .999 
22 .068 .997 
21 .135 .993 
20 .239 .985 
19 .377 .971 
18 .537 .950 



17 .697 .919 

16 .831 .879 

15 .922 .332 

14 .972 .780 

13 .992 .725 

12 .998 .670 

24 .020 .999 



23 .049 .998 

22 .104 .995 

21 .193 .989 

20 .318 .978 

19 .473 .960 

18 .636 .933 

17 .782 «89b 



16 .890 .855 

15 .955 .806 

14 .986 .754 

13 .996 .700 

12 .999 .647 

24 .034 .999 

23 .077 .996 



22 .152 .992 

21 .264 .983 

20 .409 .968 

19 .572 .946 

18 .728 .914 

17 .852 .875 

16 .933 .829 



.600 



,650 



.700 



.750 



.800 



.850 



M 



25 
24 
23 



D 



POPULATION 32 - 34 
F X M D F 



15 .976 .780 

14 .993 .729 

13 .999 .677 

26 .018 .999 

25 .048 .998 

24 .105 .995 

23 .200 .989 



.900 



29 .394 .981 

28 .655 .961 

27 .621 .933 

26 .929 .901 

25 .977 .868 

24 .994 .833 

23 .999 .799 



22 


.333 


.977 


.950 


31 


.204 


.994 


21 


.492 


.959 




30 


.540 


.977 


20 


.656 


.933 




29 


.806 


.951 


19 


.797 


.900 




28 


.959 


.920 


18 


.898 


.860 




27 


.985 


.888 


17 


.958 


.815 




26 


.997 


.855 


16 


.986 


.769 










15 


.996 


.721 


POPULATION 


34 


14 


.999 


.673 










27 


.024 


.999 


.004 


1 


.1 52 


.999 


26 


.064 


.997 


.007 


1 


.251 


.998 


25 


.140 


.993 


.008 


1 


.263 


.997 


24 


.257 


.985 


.009 


1 


.296 


.996 


23 


.410 


.971 


.010 


1 


.323 


.995 


22 


.579 


.949 


.01 1 


1 


.361 


.994 


21 


.736 


.921 


.012 


1 


.393 


.993 


20 


.858 


.885 


.013 


2 


.074 


.999 


19 


.935 


.845 




1 


.425 


.991 


18 


.975 


.803 


.014 


2 


.085 


.999 


17 


.992 


.759 




1 


.457 


.989 


1o 


.998 


.714 


.015 


2 


.096 


.999 


28 


.031 


.999 




1 


.489 


.987 


27 


.085 


.996 


.016 


2 


.103 


.999 


26 


.182 


.991 




1 


.520 


.984 


25 


.325 


.980 


.017 


2 


.120 


.999 


24 


.498 


.963 




1 


.551 


.981 


23 


.670 


.939 


.018 


2 


.1 53 


.998 


22 


.812 


.907 




1 


.581 


.977 


21 


.909 


.871 


.019 


2 


. 147 


.998 


20 


.963 


.832 




1 


.61 1 


.974 


19 


.987 


.791 


.020 


2 


.160 


.998 


18 


.997 


.750 




1 


.64 1 


.969 


17 


.999 


.708 


.021 


2 


.175 


.997 


29 


.038 


.999 




1 


.670 


.964 


28 


.109 


.995 


.022 


2 


.189 


.997 


27 


.235 


.988 




1 


.693 


.958 


26 


.407 


.975 


.023 


2 


.204 


.996 


25 


.595 


.954 




1 


.725 


.952 


24 


.761 


.927 


.024 


3 


.048 


.999 


23 


.880 


.894 




2 


.220 


.996 


22 


.949 


.858 




1 


.752 


.945 


21 


.982 


.820 


.025 


3 


.053 


.999 


20 


.995 


.781 




2 


.255 


.995 


19 


.999 


.742 




1 


.777 


.937 


30 


.042 


.999 


.026 


3 


.059 


.999 


29 


.138 


.995 




2 


.252 


.995 


28 


.302 


.985 




1 


.801 


.928 


27 


.508 


.968 


.028 


3 


.071 


.999 


26 


.703 


.944 




2 


.28S 


.993 



.900 31 



850 .914 

936 .881 

978 .845 

22 .994 .809 

21 .998 .772 

038 .999 



1 .845 .907 



.030 



.032 



3 


.084 


.999 


2 


.319 


.991 


1 


.884 


.883 


3 


.099 


.998 


2 


.354 


.989 



30 .171 .994 



1 .916 .855 



47 



FINITE QUEUING TABLES 



,03U 



,036 



,038 



,040 



.0U2 



.044 



.046 



,048 



.050 



.052 



.054 



.056 



.058 



.060 



.062 



.064 



.066 



1 


D 


F 


X 


M 


D 


F 


3 


.114 


.998 


.066 


4 


.204 


.994 


? 


.390 


.987 




3 


.491 


.971 


1 


.941 


.825 




2 


.902 


.846 


3 


.131 


.998 


.068 


5 


.079 


.99b 


? 


.427 


.984 




4 


.221 


.993 


1 


.961 


.792 




3 


.519 


.967 


4 


.039 


.999 




2 


.919 


.830 


3 


.14Q 


.997 


.070 


5 


.088 


.996 


2 


.464 


.980 




4 


.240 


.992 


1 


.975 


.760 




3 


.547 


.963 


4 


.045 


.999 




2 


.934 


.813 


3 


.168 


.996 


.075 


6 


.037 


.999 


2 


.501 


.976 




5 


.112 


.997 


1 


.984 


.727 




4 


.287 


.988 


4 


.053 


.999 




3 


.617 


.951 


3 


.188 


.995 




2 


.962 


.771 


2 


.538 


.971 


.030 


6 


.049 


.999 


1 


.990 


.696 




5 


.140 


.996 


4 


.062 


.999 




4 


.339 


.984 


3 


.210 


.995 




3 


.583 


.935 


2 


.575 


.966 




2 


.980 


.729 


1 


.994 


.666 


.085 


6 


.064 


.999 


4 


.071 


.999 




5 


'.171 


.994 


3 


.232 


.994 




4 


.393 


.979 


2 


.612 


.960 




3 


.746 


.917 


1 


.997 


.638 




2 


.990 


.689 


4 


.081 


.999 


.090 


7 


.027 


.999 


3 


.255 


.992 




6 


.081 


.998 


2 


.648 


.953 




5 


.205 


.992 


1 


.998 


.612 




4 


.449 


.973 


4 


.091 


.998 




3 


.802 


.895 


3 


.278 


.991 




2 


.995 


.652 


2 


.683 


.945 


.095 


7 


.036 


.999 


1 


.999 


.588 




6 


.100 


.997 


4 


.103 


.998 




5 


.243 


.990 


3 


.303 


.989 




4 


.506 


.965 


2 


.717 


.936 




3 


.351 


.871 


1 


.999 


.565 




2 


.998 


.619 


5 


.034 


.999 


.100 


7 


.046 


.999 


4 


.1 15 


.997 




6 


.122 


.996 


3 


.328 


.988 




5 


.284 


.987 


2 


.749 


.926 




4 


.564 


.956 


5 


.039 


.999 




3 


.891 


.844 


4 


.128 


.997 




2 


.999 


.588 


3 


.354 


.986 


.105 


7 


.058 


.999 


2 


.780 


.915 




6 


.148 


.995 


5 


.044 


.999 




5 


.327 


.983 


4 


.142 


.996 




4 


.621 


.944 


3 


.381 


.983 




3 


.923 


.816 


2 


.809 


.903 


.110 


8 


.026 


.999 


5 


.050 


.999 




7 


.072 


.998 


4 


.156 


.996 




6 


.175 


.993 


3 


.408 


.981 




5 


.373 


.979 


2 


.836 


.890 




4 


.676 


.931 


5 


.057 


.999 




3 


.948 


.787 


4 


.171 


.995 


.115 


8 


.033 


.999 


3 


.435 


.978 




7 


.088 


.997 


2 


.860 


.876 




6 


.206 


.992 


5 


.064 


.999 




5 


.421 


.973 


4 


.187 


.994 




4 


.728 


.916 


3 


.463 


.975 




3 


.965 


.758 


2 


.882 


.861 


.120 


8 


.042 


.999 


5 


.071 


.998 




7 


.106 


.997 



POPULATION 34 - 34 
F X M D F 



120 



125 



130 



135 



140 



1 45 



.150 



155 



.160 



6 


.239 


.989 


5 


.470 


.967 


4 


.775 


.900 


3 


.978 


.730 


8 


.052 


.999 


7 


.127 


.996 


6 


.275 


.986 


5 


.520 


.960 


4 


.819 


.881 


3 


.986 


.703 


9 


.024 


.999 


8 


.063 


.998 


7 


.150 


.994 


6 


.313 


.983 


5 


.569 


.951 


4 


.856 


.861 


3 


.992 


.677 


9 


.030 


.999 


8 


.076 


.99° 


7 


.175 


.993 


o 


.353 


.979 


5 


.618 


.941 


4 


.889 


.840 


3 


.995 


.653 


9 


.037 


.999 


8 


.092 


.997 


7 


.202 


.991 


6 


.395 


.975 


5 


.666 


.930 


4 


.916 


.819 


3 


.997 


.630 


9 


.045 


.999 


8 


.109 


.996 


7 


.232 


.989 


6 


.438 


.969 


5 


.711 


.917 


4 


.937 


.797 


3 


.998 


.608 


10 


.021 


.999 


9 


.055 


.998 


8 


.127 


.995 


7 


.2o4 


.986 


6 


.481 


.963 


5 


.754 


.904 


4 


.934 


.774 


3 


.999 


.588 


10 


.026 


.999 


9 


.066 


.998 



8 .143 .994 



165 



7 


.297 


.983 


6 


.526 


.956 


5 


.793 


.889 


4 


.967 


.752 


3 


.999 


.569 


10 


.032 


.999 


9 


.078 


.997 


8 


.171 


.993 


7 


.333 


.980 


6 


.570 


.948 


5 


.828 


.873 


4 


.977 


.731 


10 


.039 


.999 


9 


.092 


.997 



165 



170 



.180 



190 



.200 



.210 



.220 



.230 



8 .196 .991 
7 .370 .976 
6 .613 .939 
5 .660 .856 
4 .984 .710 

10 .04-7 .999 

9 .108 .996 



8 


.222 


.989 


7 


.40° 


.972 


6 


.656 


.930 


5 


.887 


.839 


4 


.9a'=> 


.690 


1 1 


.C27 


.999 



10 .066 .998 



9 
H 
7 
6 
5 
4 
1 1 



10 
9 
8 
7 
6 
5 
4 



12 
1 1 
10 
9 
8 
7 
6 



5 

4 

12 

1 1 

10 

9 

8 



7 
6 
5 
13 
12 
1 1 
10 



9 
8 
7 
6 
5 
13 
12 



.144 .994 

.281 .984 

.48-7 .961 

.755 .907 

.950 .803 

.99"=^ .653 

.040 .999 



.091 .997 

.188 .991 

.346 .978 

.56'7 .947 

.805 .881 

.959 .767 

.990 .619 



.023 .999 

.056 .998 

.122 .995 

.258 .987 

.416 .969 

.646 .930 

.862 .853 



.977 .732 

.999 .588 

.053 .999 

.077 .997 

,15S .993 

.294 .982 

,490 .959 



.719 .910 

.907 .823 

.980 .699 

.019 .999 

.047 .998 

.10? .996 

.201 .990 



.356 .976 

.564 .946 

.784 .888 

.94^ .792 

.994 .668 

.02 .999 

.064 .998 



11 .1 53 .994 

10 .24Q .986 

9 .421 .968 

8 .65ft .931 

7 .840 .864 

6 .96 3 .762 

5 .997 .639 



48 



FIMITE QUEUING TABLES 
X M D F X 



POPULATION 34 - 34 



.240 



13 .039 .999 

12 .085 .997 

11 .169 .992 

10 .303 .981 

9 .490 .958 

8 .704 .913 

7 .886 .838 



.310 



16 .028 .999 

15 .062 .998 

14 .124 .994 

13 .224 .987 

12 .368 .973 

11 .549 .947 

10 .737 .903 



.400 



.420 



M 



13 .703 .914 

12 .847 .865 

11 .941 .803 

10 .934 .734 

20 .025 .999 

19 .055 .998 

18 .109 .995 



X M D F 

.520 17 .670 .926 

16 .809 .888 

15 .90'^ .342 

14 .96"=^ .790 

13 .99^^ .735 

.540 24 .02"^ .999 

23 .057 .998 



,250 



,260 



.270 



6 


.978 


.732 


9 


.888 


.838 


17 


.195 


.989 


22 


.104 


.995 


5 


.999 


.613 


8 


.970 


.756 


16 


.318 


.978 


21 


.189 


.989 


14 


.023 


.999 .320 17 


.016 


.999 


15 


.473 


.959 


20 


.30f>, 


.979 


13 


.053 


.998 


15 


.030 


.997 


14 


.642 


.929 


19 


.455 


.963 


12 


.1 1 1 


.995 


14 


.154 


.992 


13 


.796 


.886 


IS 


.614 


.938 


1 1 


.21 1 


.988 


13 


.268 


.983 


12 


.909 


.832 


17 


.76? 


.904 


10 


.362 


.974 


12 


.425 


.965 


1 1 


.970 


.768 


16 


.876 


.862 


9 


.559 


.946 


11 


.610 


.935 .440 21 


.019 


.999 


15 


.947 


.814 


8 


.767 


.894 


10 


.789 


.886 


20 


.043 


.998 


14 


.98? 


.762 


7 


.921 


.81 1 


9 


.918 


.817 


19 


.088 


.996 .560 25 


.C16 


.999 


6 


.987 


.704 


3 


.980 


.733 


IB 


.1d3 


.991 


24 


.05« 


.998 


5 


.999 


.588 .333 17 


.022 


.999 


17 


.273 


.982 


23 


.08? 


.996 


14 


.032 


.999 


16 


.050 


.996 


16 


.417 


.966 


22 


.154 


.992 


13 


.071 


.997 


15 


.102 


.995 


15 


.581 


.941 


21 


.26? 


.983 


12 


.142 


.993 


14 


.189 


.989 


14 


.742 


.905 


■^0 


.400 


.970 


1 1 


.258 


.984 


13 


.317 


.976 


13 


.870 


.856 


19 


.55« 


.948 


10 


.424 


.967 


12 


.484 


.957 


12 


.950 


.798 


18 


.71 1 


.918 


9 


.627 


.932 


1 1 


.669 


.922 


1 1 


.986 


.734 


17 


.853 


.380 


8 


.821 


.872 


10 


.834 


.868 .460 21 


.033 


.999 


16 


.924 


.835 


7 


.948 


.785 


9 


.942 


.796 


20 


.070 


.997 


15 


.97? 


.786 


15 


.019 


.999 


8 


.988 


.712 


19 


.134 


.993 .580 25 


.020 


.999 


14 


.043 


.998 .340 17 


.030 


.999 


18 


.231 


.986 


24 


.06? 


.997 


13 


.092 


.996 


16 


.065 


.997 


17 


.364 


.973 


23 


.124 


.994 


12 


.177 


.991 


15 


.128 


.994 


16 


.522 


.952 


22 


.219 


.987 


1 1 


.310 


.979 


14 


.228 


.986 


15 


.6c:5 


.920 


21 


.34S 


.976 


10 


.489 


.957 


13 


.369 


.972 


1 4 


.826 


.877 


20 


.501 


.957 


9 


.691 


.916 


12 


.543 


.947 


13 


.923 


.825 


19 


.653 


.931 


8 


.867 


.850 


11 


.724 


.907 


12 


.974 


.766 


18 


.796 


.897 



.280 



,290 



,300 



7 


.966 


.753 


15 


.026 


.999 


14 


.053 


.993 


13 


.118 


.995 


12 


.218 


.933 


1 1 


.366 


.973 


10 


.554 


.946 


9 


.751 


.899 


3 


.904 


.826 


7 


.979 


.733 


15 


.035 


.999 


14 


.076 


.997 


13 


.149 


.993 


12 


.264 


.984 


1 1 


.425 


.966 


10 


.618 


.933 


9 


.804 


.830 


3 


.933 


.302 


7 


.987 


.709 


16 


.021 


.999 


15 


.047 


.993 


14 


.098 


.996 


13 


.184 


.990 


12 


.314 


.979 


1 1 


.487 


.957 


10 


.680 


.919 


9 


.350 


.859 


8 


.954 


.779 



.360 



,380 



i400 



10 .373 .349 

9 .960 .774 

18 .024 .999 

17 .053 .996 

16 .106 .995 

15 .192 .939 

14 .318 .973 



13 .431 .957 

12 .659 .924 

11 .320 .375 

10 .930 .310 

9 .932 .734 

19 .018 .999 

18 .042 .996 



17 .086 .996 

16 .161 .991 

15 .273 .982 

14 .422 .966 

13 .595 .938 

12 .763 .896 

n .892 .839 



10 .965 .771 

19 .033 .999 

18 .069 .997 

17 .133 .993 

16 .232 .986 

15 .368 .972 

14 .533 .949 



.480 22 .025 .999 

21 .055 .998 

20 .109 .995 

19 .194 .989 

18 .314 .978 

17 .464 .960 

16 .627 .933 



15 .777 .896 

14 .890 .843 

13 .958 .794 

12 .988 .735 

.500 23 .013 .999 

22 .042 .998 

21 .087 .996 



20 .160 .991 

19 .2b9 .983 

18 .409 .968 

17 .569 .945 

16 .725 .912 

15 .852 .869 

14 .936 .819 



.520 



13 .978 .763 

23 .031 .999 

22 .068 .997 

21 .131 .993 

20 .227 .986 

19 .357 .974 

18 .511 .954 



.600 



.650 



.700 



17 .897 .855 

16 .957 .809 

15 .986 .760 

26 .019 .999 

25 .046 .998 

24 .097 .995 

23 .130 .990 



22 .29=5 .981 

21 .445 .965 

20 .603 .942 

19 .750 .911 

18 .865 .873 

17 .959 .830 

16 .978 .783 



27 


.029 


.999 


26 


.063 


.997 


25 


.1 53 


.993 


24 


.244 


.986 


23 


.384 


.973 


22 


.54? 


.954 


21 


.69"' 


.927 


20 


.825 


.894 


19 


.914 


.855 


18 


.965 


.813 


17 


.98° 


.769 


28 


.04? 


.998 


27 


.093 


.996 



26 .190 ,990 



49 



FINITE QUEUING TABLES 



POPULATION 34 



36 



.700 


25 


.322 


.980 


.015 


2 


.107 


.999 


.050 


3 


.317 


.989 


.095 


7 


.04fl 


.999 




24 


.480 


.964 




1 


.518 


.985 




2 


.736 


.933 




6 


.127 


.996 




23 


.642 


.941 


.016 


2 


.120 


.999 


.052 


5 


.037 


.999 




5 


.29? 


.987 




22 


.784 


.912 




1 


.550 


.982 




4 


.123 


.997 




4 


.575 


.956 




21 


.887 


.877 


.017 


2 


.134 


.998 




3 


.344 


.987 




3 


.900 


.843 




20 


.950 


.838 




1 


.583 


.979 




2 


.770 


.922 


.100 


7 


.065 


.998 




19 


.982 


.798 


.018 


2 


.148 


.996 


.054 


5 


.042 


.999 




6 


.155 


.995 


.750 


30 


.021 


.999 




1 


.615 


.975 




4 


.137 


.997 




5 


.359 


.983 




29 


.060 


.998 


.019 


2 


.163 


.996 




3 


.372 


.985 




4 


.656 


.944 




28 


.136 


.994 




1 


.646 


.970 




2 


.802 


.910 




3 


.952 


.812 




27 


.256 


.986 


.020 


2 


.178 


.997 


.056 


5 


.049 


.999 


.105 


8 


.023 


.999 




26 


.413 


.973 




1 


.677 


.965 




4 


.152 


.996 




7 


.077 


.998 




25 


.584 


.953 


.021 


2 


.194 


.997 




3 


.401 


.982 




6 


.185 


.993 




24 


.740 


.927 




1 


.707 


.959 




2 


.831 


.897 




5 


.388 


.978 




23 


.859 


.896 


.022 


2 


.210 


.996 


.058 


5 


.055 


.999 




4 


.694 


.930 




22 


.935 


.860 




1 


.736 


.952 




4 


.168 


.996 




3 


.956 


.781 




21 


.975 


.823 


.023 


3 


.050 


.999 




3 


.430 


.980 


.1 10 


8 


.0 56 


.999 


.800 


31 


.027 


.999 




2 


.226 


.996 




2 


.858 


.882 




7 


.095 


.997 




30 


.082 


.997 




1 


.763 


.944 


.060 


5 


.063 


.999 




6 


.219 


.991 




29 


.187 


.992 


.024 


3 


.056 


.999 




4 


.185 


.995 




^ 


.440 


.972 




28 


.340 


.981 




2 


.243 


.995 




3 


.460 


.976 




4 


.748 


.913 




27 


.521 


.965 




1 


.790 


.935 




2 


.882 


.867 




3 


.97? 


.751 




26 


.695 


.941 


.025 


3 


.062 


.999 


.062 


5 


.071 


.999 


.1 15 


8 


.046 


.999 




25 


.832 


.913 




2 


.260 


.995 




4 


.203 


.994 




7 


.115 


.996 




24 


.921 


.880 




1 


.815 


.926 




3 


.489 


.973 




6 


.255 


.989 




23 


.968 


.845 


.026 


3 


.068 


.999 




2 


.903 


.850 




5 


.492 


.966 




22 


.989 


.809 




2 


.278 


.994 


.064 


5 


.079 


.998 




4 


.797 


.895 


.850 


32 


.032 


.999 




1 


.839 


.915 




4 


.221 


.993 




3 


.■983 


.721 




31 


.1 10 


.996 


.028 


3 


.082 


.999 




3 


.5T9 


.969 


.120 


8 


.C5R 


.998 




30 


.254 


.989 




2 


.314 


.992 




2 


.922 


.833 




7 


. 1 58 


.995 




29 


.447 


.975 




1 


.881 


.890 


.066 


5 


.088 


.998 




6 


.294 


.986 




28 


.645 


.954 


.030 


3 


.098 


.999 




4 


.241 


.992 




5 


.545 


.957 




27 


.806 


.928 




2 


.352 


.990 




3 


.549 


.965 




4 


.64 1 


.875 




26 


.910 


.897 




1 


.916 


.861 




2 


.937 


.815 


.125 


9 


.027 


.999 




25 


.965 


.864 


.032 


3 


.114 


.998 


.068 


6 


.032 


.999 




8 


.071 


.998 




24 


.989 


.830 




2 


.390 


.987 




5 


.098 


.998 




7 


.164 


.994 


.900 


33 


.031 


.999 




1 


.943 


.829 




4 


.260 


.991 




6 


.356 


.982 




32 


.145 


.995 


.034 


3 


.132 


.998 




3 


.579 


.960 




5 


.590 


.948 




31 


.350 


.985 




2 


.429 


.984 




2 


.951 


.797 




4 


.878 


.853 




30 


.587 


.967 




1 


.963 


.794 


.070 


6 


.036 


.999 


.130 


9 


.054 


.999 




29 


.784 


.942 


.036 


3 


.151 


.997 




5 


.109 


.997 




8 


.086 


.997 




28 


.907 


.913 




2 


.468 


.981 




4 


.281 


.989 




7 


.19? 


.992 




27 


.967 


.882 




1 


.978 


.759 




3 


.609 


.955 




6 


.379 


.978 


.950 


33 


.184 


.995 


.038 


4 


.047 


.999 




2 


.962 


.779 




5 


.650 


.937 




32 


.506 


.980 




3 


.172 


.996 


.075 


6 


.049 


.999 




4 


.909 


.830 




31 


.779 


.956 




2 


.508 


.977 




5 


.138 


.996 


.135 


9 


.043 


.999 




30 


.925 


.928 




1 


.987 


.724 




4 


.335 


.985 




8 


.104 


.997 




29 


.980 


.898 


.040 


4 


.055 


.999 




3 


.680 


.939 




7 


.223 


.990 












3 


.193 


.996 




2 


.960 


.734 




6 


.425 


.972 


POPUL AT I ON 


36 




2 


.548 


.972 


.080 


6 


.064 


.999 




5 


.699 


.924 










.042 


4 


.064 


.999 




5 


.171 


.995 




4 


.9 54 


.807 


.004 


1 


.140 


.999 




3 


.216 


.995 




4 


.393 


.980 


.140 


9 


.053 


.999 


.006 


1 


.210 


.998 




2 


.587 


.966 




3 


.747 


.920 




8 


.123 


.996 


.008 


1 


.279 


.997 


.044 


4 


.074 


.999 


.085 


7 


.028 


.999 




7 


.256 


.988 


.009 


1 


.314 


.996 




3 


.240 


.993 




6 


.082 


.998 




6 


.471 


.966 


.010 


1 


.348 


.995 




2 


.626 


.959 




5 


.208 


.993 




5 


.745 


.910 


.01 1 


1 


.383 


.993 


.046 


4 


.085 


.996 




4 


.453 


.974 




4 


.953 


.783 


.012 


2 


.071 


.999 




3 


.265 


.992 




3 


.807 


.897 


.145 


10 


.026 


.999 




1 


.417 


.992 




2 


.664 


.952 


.090 


7 


.037 


.999 




9 


.064 


.998 


.013 


2 


.083 


.999 


.048 


4 


.097 


.998 




6 


.103 


.997 




B 


.145 


.994 




1 


.451 


.990 




3 


.290 


.991 




5 


.248 


.990 




7 


.291 


.985 


.014 


2 


.094 


.999 




2 


.701 


.943 




4 


.514 


.965 




6 


.518 


.959 




1 


.484 


.988 


.050 


4 


.109 


.998 




3 


.858 


.871 




5 


.788 


.895 



50 



FINITE QUEUING TABLES 
X M D F X 



.145 
.150 



.155 



160 



165 



170 



.180 



190 



,200 



.210 



4 

10 

9 

8 

7 
6 
5 



4 
10 
9 
8 
7 
6 
5 



4 
10 
9 
8 
7 
6 
5 



1 1 
10 
9 
8 
7 
6 
5 



1 1 

10 

9 

8 
7 
6 
5 



1 1 

10 

9 

8 

7 
6 
5 



12 
1 1 
10 
9 
8 
7 
6 



5 

12 

1 1 

10 

9 

8 

7 



6 
13 
12 
1 1 
10 
9 
8 



967 .759 

032 .999 

077 .998 

169 .993 

329 .981 

565 .951 

827 .878 



978 .736 
039 .999 
092 .997 
195 .991 
368 .977 
612 .942 
860 .860 



985 
048 
109 
223 
409 
657 
890 



023 
058 
127 
254 
451 
701 
914 



029 
069 
148 
286 
493 
742 
935 



.714 
,999 
,996 
,989 
,973 
,932 
,842 



.999 
,998 
.995 
,987 
,967 
,921 
,823 



,999 
,998 
,994 
,984 
,961 
,908 
■ 804 



042 .999 
096 .997 
195 .991 
356 .978 
579 .947 
815 .881 
964 .765 



026 .999 
061 .998 
129 .995 
249 .987 
431 .969 
661 .929 
874 .850 



981 .728 
037 .999 
084 .997 
169 .992 
310 .981 
509 .957 
738 .908 



919 .818 
023 .999 
053 .998 
112 .995 
217 .989 
377 .974 
588 .943 



.210 
.220 



.230 



,240 



.250 



,260 



.270 



.280 



.290 



V F 

7 .805 .884 

6 .950 .786 

13 .033 .999 

12 .073 .997 

11 .147 .993 

10 .270 .984 

9 .448 .965 



8 .664 ,927 

7 .861 .857 

6 .971 .753 

14 .020 .999 

13 .046 .995 

12 .097 .996 

11 .188 .991 



10 .330 .979 

9 .521 .954 

8 .734 .908 

7 .905 .829 

6 .984 .723 

14 .028 .999 

13 .063 .996 



12 .127 .994 

11 .235 .987 

10 .394 .972 

9 .595 .941 

3 .797 ,886 

7 .938 ,801 

14 .039 .999 



13 .084 .997 

12 .163 .992 

11 .288 .982 

10 .462 ,963 

9 .665 .926 

8 .850 .863 

7 .961 .773 



15 .024 .999 

14 .054 .998 

13 .110 ,995 

12 .204 ,989 

11 .346 .977 

10 .531 .952 

9 .731 .908 



8 .893 .838 

7 .976 ,745 

15 .034 .999 

14 .072 .997 

13 .141 .993 

12 .251 .985 

11 .408 ,969 



10 .600 .939 

9 .790 .888 

8 .926 .813 

7 .986 ,719 

16 .020 ,999 

15 .046 .998 

14 .094 ,996 



13 .177 .991 

12 .303 .981 

11 .473 .960 

10 .666 .925 

9 .841 .867 

8 .951 .788 

16 .028 ,999 



X 


M 


D 


F 


290 


15 


.Ool 


.998 




14 


.121 


.994 




13 


.218 


.988 




12 


.360 


.975 




1 1 


.538 


.950 




10 


.728 


.908 




9 


.883 


.845 




8 


.968 


.763 


■^00 


17 


.017 


.999 




15 


.030 


.997 




14 


.153 


.992 




13 


.265 


.984 




12 


.419 


.967 




1 1 


.604 


.938 



POPULATION 36 - 36 
X M D F 



.310 



.320 



.330 



.340 



.360 



10 .784 .890 

9 .916 .822 

a .980 .739 

17 ,024 ,999 

16 .052 .998 

15 .104 .995 

14 ,189 ,990 



13 .316 .979 

12 .482 .959 

11 .667 .924 

10 .833 .871 

9 .942 .800 

8 .938 .716 

17 .032 .999 



16 .068 ,997 

15 .131 .994 

14 .231 .987 

13 .371 .973 

12 .545 .949 

11 .726 .909 

10 .874 .851 



9 .961 .777 

18 .019 .999 

17 .043 .998 

16 .088 .996 

15 .163 .992 

14 .277 .983 

13 .429 .956 



12 .607 .937 
11 .779 .893 
10 .908 .831 

9 .974 .755 

13 .027 .999 
17 .057 .998 
16 .112 .995 



15 .200 .989 

14 .327 .978 

13 .489 .957 

12 .667 .924 

11 .826 .875 

10 .934 .810 

9 .984 .734 



19 .022 .999 

18 .048 .998 

17 .095 .996 

16 .172 .991 

15 .287 .981 

14 .438 .965 

13 .610 .937 



.360 



.380 



.400 



.420 



,440 



,460 



.480 



12 .775 .895 

11 .900 .837 

10 .969 .769 

20 .017 .999 

18 .080 .997 

17 .14fl .992 

16 .250 .985 



15 


.389 


.970 


14 


.554 


.947 


13 


.72? 


.91 1 


12 


.86'^ 


.861 


11 


.940 


.799 


10 


.987 


.730 


20 


.05? 


.999 


19 


.066 


.997 


18 


.125 


.994 


17 


.217 


.987 


16 


.345 


.975 


15 


.501 


.956 


14 


.668 


.925 


13 


.817 


.881 



12 .921 .826 

11 .975 .762 

21 .025 .999 

20 ,054 ,998 

19 ,106 .995 

18 .137 .990 

17 .303 ,980 



16 ,451 .963 

15 .61=; .936 

14 .769 .898 

13 .888 .849 

12 .959 .790 

11 .989 .727 

22 .020 .999 



21 


.044 


.993 


20 


.088 


.996 


19 


.160 


.992 


18 


.265 


.983 


17 


.40^ 


.969 


16 


.56? 


.946 


15 


.720 


.913 


14 


.851 


.869 


13 


.937 


.816 


12 


.980 


.756 


23 


.015 


.999 


21 


.07-' 


.997 


20 


.1 55 


.993 


19 


.25" 


.986 



18 .35° .974 

17 .51 1 .955 

16 .670 .926 

15 .811 .887 

14 .911 .838 

13 .96^ .783 

23 .028 .999 



22 .059 .998 

21 .113 .995 

20 .198 .989 

19 .316 .979 

18 .46? .962 

17 .620 .937 

16 .767 .902 



51 



FINITE QUEUING TABLES 



POPULATION 36 



38 



M 



D 



.480 



.500 



15 


.881 


.858 


m 


.951 


.807 


13 


.985 


.751 


24 


.021 


.999 


23 


.047 


.998 


22 


.094 


.996 


21 


.169 


.99 1 



20 .276 .982 

19 .414 .968 

18 .569 .946 

17 .721 .915 

16 .846 .876 

15 .930 .828 

14 .975 .776 



.600 



.650 



22 .479 .962 

21 .632 .939 

20 .771 .909 

19 .877 .872 

18 .944 .830 

17 .979 .786 

29 .017 .999 



23 .043 .998 
27 .093 .996 
26 .174 .991 
25 .290 .983 

24 .434 .969 
23 .589 .948 
22 .734 .922 



.900 


29 .955 


.894 




28 .986 


.864 


.Q50 


35 .166 


.996 




34 .475 


.982 




33 .752 


.961 




32 .911 


.935 




31 .975 


.906 


POPULATION 


38 



.004 1 .148 .999 

.006 1 .222 .998 

.008 1 .295 .997 

.009 1 .332 .996 

.010 1 .368 .994 



3 


.173 


.997 


2 


.510 


.977 


1 


.988 


.725 


4 


.056 


.999 


3 


. 196 


.996 


2 


.552 


.972 


4 


.066 


.999 



.036 



.038 



.040 



3 .220 .995 

2 .594 .966 
.042 4 .077 .999 

3 .245 .994 

2 .655 .959 
.044 4 .08<^ .998 

3 .272 .992 



.520 25 .016 .999 

23 .076 .997 

22 .142 .993 

21 .239 .986 

20 .369 .973 

19 .520 .954 

18 .674 .927 



21 .850 .889 

20 .927 .851 

19 .970 .811 

.700 30 .027 .999 

29 .067 .997 

28 .138 .994 

27 .246 .987 



.ni 1 1 .404 .993 

.012 2 .079 .999 

1 .440 .991 

.013 2 .091 .999 

1 .476 .989 

.014 2 .105 .999 

1 .511 .986 



2 .676 .951 
.046 4 .101 .998 

3 .299 .991 

2 .715 .942 
.046 4 .115 .998 

3 .32n .989 
2 .752 .932 



17 


.808 


.891 


16 


.905 


.848 


15 


.962 


.799 


14 


.988 


.747 


540 25 


.028 


.999 


24 


.061 


.997 


23 


.1 18 


.994 


22 


.205 


.988 


21 


.325 


.978 


20 


.471 


.962 


19 


.625 


.938 


18 


.767 


.905 


17 


.877 


.865 


16 


.946 


.820 


15 


.981 


.771 


560 26 


.021 


.999 


25 


.048 


.998 


24 


.096 


.996 


23 


.174 


.991 


22 


.284 


.982 


21 


.423 


.968 


20 


.577 


.947 


19 


.724 


.918 


18 


.845 


.881 


17 


.927 


.839 


16 


.972 


.792 


580 27 


.015 


.999 


25 


.077 


.997 



24 .145 .993 
23 .245 .985 
22 .377 .973 
21 .528 .955 
20 .679 .929 
19 .809 .896 
18 .903 .856 



17 .959 .812 

16 .986 .766 

.600 27 .027 .999 

26 .060 .998 

25 .118 .994 

24 .209 .988 

23 .332 .978 



26 .387 .975 
25 .546 .957 
24 .698 .933 
23 .824 .903 
22 .911 .869 
21 .962 .832 
20 .986 .793 



.750 31 .042 .999 

30 .100 .99b 

29 .199 .990 

28 .337 .981 

27 .500 .965 

26 .662 .944 

25 .799 .916 



24 .896 .885 

23 .954 .850 

22 .983 .814 

.800 33 .019 .999 

32 .061 .998 

31 .147 .994 

30 .281 .986 



.850 



.900 



.015 2.118 .999 

1 .546 .983 

.016 2 .133 .999 

1 .581 .980 

.017 2 .148 .998 

1 .615 .976 

.018 2 .163 .998 



1 .648 .971 

.019 2 .179 .997 

1 .680 .966 

.020 2 .196 .997 

1 .712 .959 

.021 2 .213 .996 

1 .742 .952 



.022 3 .052 .999 

2 .231 .996 

1 .772 .944 
.023 3 .058 .999 

2 .249 .995 
1 .800 .935 

.024 3 .065 .999 



.050 5 .059 .999 
4 .129 .997 

3 .357 .987 

2 .787 .920 
.052 5 .046 .999 

4 .145 .997 

3 .387 .984 



2 .819 .906 
.054 5 .05-^ .999 

4 .16? .996 

3 .418 .982 
2 .(jaq .892 

.056 5 .060 .999 

4 .179 .995 



3 .44Q .979 

2 .876 .876 
.053 5 .G6« .999 

4 .19C1 .995 

3 .481 .975 
2 .899 .859 

.060 5 .077 .998 



29 


.450 


.973 




2 


.267 


.995 




4 


.217 


.994 


23 


.625 


.953 




1 


.826 


.924 




3 


.512 


.971 


27 


.777 


.928 


.025 


3 


.071 


.999 




2 


.920 


.841 


26 


.885 


.899 




2 


.286 


.994 


.062 


5 


.C87 


.998 


25 


.949 


.867 




1 


.350 


.912 




4 


.257 


.993 


24 


.981 


.833 


.026 


3 


.079 


.999 




3 


.54U 


.967 


34 


.024 


.999 




2 


.305 


.993 




2 


.957 


.822 


33 


.088 


.997 




1 


.873 


.899 


.064 


6 


.051 


.999 


32 


.212 


.991 


.028 


3 


.095 


.999 




5 


.097 


.998 


31 


.390 


.980 




2 


.344 


.991 




4 


.250 


.991 


30 


.586 


.963 




1 


.912 


.870 




3 


.576 


.962 


29 


.757 


.939 


.030 


3 


.112 


.998 




2 


.951 


.803 


28 


.378 


.912 




2 


.385 


.988 


.06o 


6 


.056 


.999 


27 


.948 


.881 




1 


.942 


.836 




5 


.108 


.997 


26 


.981 


.849 


.032 


3 


.131 


.998 




4 


.280 


.990 


35 


.025 


.999 




2 


.4^6 


.985 




3 


.607 


.957 


34 


.123 


.996 




1 


.964 


.800 




2 


.96-^ 


.783 


33 


.310 


.988 


.034 


3 


.151 


.997 


.068 


6 


.04 1 


.999 


32 


.540 


.972 




2 


.468 


.982 




5 


.120 


.997 


31 


.745 


.950 




1 


.979 


.762 




4 


.302 


.988 


30 


.882 


.923 


.036 


4 


.047 


.999 




3 


.659 


.951 



52 



FINITE QUEUING TABLES 
X M D F X 



.068 


2 


.972 


.764 


.125 


4 


.924 


.822 


.070 


6 


.046 


.999 


.130 


9 


.049 


.999 




5 


.132 


.997 




8 


.114 


.996 




4 


.325 


.987 




7 


.241 


.989 




3 


.669 


.944 




6 


.450 


.970 




2 


.979 


.745 




5 


.726 


.919 


.075 


6 


.062 


.999 




4 


.947 


.797 



,08C 



.085 



.090 



.095 



I 100 



.105 



1 10 



,115 



120 



125 



5 .167 .995 



4 


.386 


.982 


3 


.741 


.925 


6 


.081 


.998 


5 


.205 


.993 


4 


.449 


.975 


3 


.806 


.901 


7 


.038 


.999 


6 


.103 


.997 


5 


.248 


.991 


4 


.514 


.967 


3 


.861 


.874 


7 


.049 


.999 


6 


.129 


.996 


5 


.295 


.987 


4 


.580 


.957 


3 


.905 


.844 


7 


.064 


.998 


6 


.158 


.995 


5 


.345 


.983 


4 


.644 


.944 



3 .938 .S^2 



8 


.030 


.999 


7 


.080 


.998 


6 


.191 


.993 


5 


.398 


.978 


4 


.705 


.929 


3 


.961 


.779 


8 


.039 


.999 


7 


.100 


.997 


6 


.227 


.991 


5 


.452 


.972 


4 


.762 


.912 


3 


.977 


.746 



8 .050 .999 



7 


.122 


.996 


6 


.267 


.988 


5 


.509 


.965 


4 


.813 


.892 


3 


.987 


.715 


8 


.063 


.998 


7 


.148 


.995 


6 


.309 


.985 


5 


.565 


.956 


4 


.857 


.870 


9 


.030 


.999 


8 


.078 


.998 


7 


.176 


.993 


6 


.354 


.981 


5 


.621 


.945 


4 


.894 


.847 


9 


.039 


.999 


8 


.095 


.997 


7 


.207 


.992 


6 


.401 


.976 


5 


.675 


.933 



.135 10 .024 .999 
9 .060 .998 

3 .136 .995 
7 .277 .987 
6 .500 .964 
5 .773 ,904 

4 .964 .772 



.140 



1 145 



160 



il65 



10 


.030 


.999 


9 


.073 


.996 


a 


.161 


.994 


7 


.316 


.983 


6 


.550 


.956 


5 


.816 


.887 


4 


.976 


.747 


10 


.037 


.999 


9 


.088 


.997 


8 


.188 


.992 


7 


.357 


.979 


6 


.599 


.947 


5 


.853 


.868 


4 


.984 


.723 



.150 10 .046 .999 



155 



9 


.106 


.996 


8 


.217 


.990 


7 


.400 


.975 


6 


.648 


.936 


5 


.886 


.849 


1 1 


.023 


.999 


10 


.056 


.998 


9 


.125 


.995 


3 


.249 


.988 


7 


.444 


.970 


6 


.695 


.925 


5 


.913 


.829 


1 1 


.029 


.999 


10 


.068 


.996 


9 


.146 


.994 


a 


.283 


.985 


7 


.489 


.963 


6 


.739 


.912 


5 


.935 


.809 


1 1 


.035 


.999 


10 


.082 


.997 


9 


.170 


.993 


8 


.319 


.982 


7 


.534 


.956 


6 


.780 


.898 


5 


.952 


.788 



il70 n .043 .999 



10 .097 .997 



9 


.196 


.991 


8 


.357 


.978 


7 


.580 


.948 


6 


.817 


.884 


5 


.966 


.768 



1 80 11 .063 .996 



190 



.200 



,210 



.220 



.230 



.240 



10 


.132 


.995 


9 


.253 


.987 


8 


.436 


.969 


7 


.668 


.930 


6 


.380 


.851 


5 


.983 


.728 


12 


.040 


.999 


1 1 


.088 


.997 


10 


.176 


.992 


9 


.319 


.981 


3 


.520 


.957 


7 


.748 


.907 


6 


.925 


.817 


13 


.025 


.999 


12 


.057 


.993 


1 1 


.119 


.995 


10 


.227 


.989 


9 


.390 


.974 


B 


.603 


.942 


7 


.818 


.882 


6 


.956 


.782 


1 3 


.036 


.999 


12 


.079 


.997 


1 1 


.158 


.993 


10 


.2d5 


.984 


9 


.466 


.964 


8 


.683 


.925 


7 


.875 


.853 


6 


.976 


.746 


14 


.023 


.999 


13 


.0d2 


.998 


12 


.107 


.996 


1 1 


.203 


.990 


10 


.349 


.978 



9 .544 .952 

a .755 .904 

7 .918 .824 

6 .987 .716 

14 .033 .999 

13 .071 .997 

12 .141 .994 



1 1 


.255 


.986 


10 


.419 


.970 


9 


.621 


.938 


8 


.819 


.880 


7 


.949 


.793 


15 


.020 


.999 


14 


.046 


.998 


13 


.096 


.996 


12 


.181 


.991 


1 1 


.313 


.981 


10 


.491 


.960 


9 


.695 


.921 


8 


.871 


.855 


7 


.969 


.764 



,130 12 .027 .999 



.250 15 .029 .999 

14 .063 .996 

13 .126 .995 

12 .228 .988 

1 1 .376 .974 

10 .565 .948 

9 .761 .901 



.250 



.260 



.270 



.280 



,290 



.300 



.310 



.320 



ON 


38 - 


■ 38 


M 


D 


F 


8 


.91 ? 


.829 


7 


.98' 


.735 


16 


.01 ^ 


.999 


14 


.085 


.997 


13 


.161 


.992 


12 


.281^ 


.983 


1 1 


.44"^ 


.966 


10 


.657 


.934 


9 


.620 


.880 


8 


.94? 


.802 


16 


.026 


.999 


15 


.056 


.998 


14 


.11? 


.995 


13 


.203 


.989 



12 .353 .978 



1 1 


.51 3 


.956 


10 


.705 


.917 


9 


.8fo3 


.857 


8 


.963 


.775 


lb 


.056 


.999 



15 .075 .997 



14 


.14? 


.993 


13 


.250 


.986 


12 


.400 


.971 


1 1 


.58? 


.944 


10 


.767 


.899 


9 


.907 


.833 


8 


.97 3 


.749 


17 


.023 


.999 


16 


.049 


.998 


15 


.099 


.996 


14 


.16^ 


.991 


13 


.303 


.981 


12 


.465 


.962 


1 1 


.650 


.930 


10 


.621 


.879 


9 


.957 


.809 


8 


.987 


.725 


17 


.05? 


.999 


16 


.066 


.997 


15 


.127 


.994 


14 


.22? 


.988 


13 


.360 


.975 


12 


.551 


.952 


1 1 


.71 ? 


.915 


10 


.867 


.858 


9 


.950 


.785 


18 


.020 


.999 


17 


.043 


.998 


16 


.087 


.996 


15 


.16'-' 


.992 


14 


.271 


.984 


13 


.421 


.968 


12 


.597 


.941 


1 1 


.771 


.898 


10 


.904 


.837 



9 .97? .761 

18 .027 .999 

17 .053 .998 

16 .11? .995 

15 .198 .989 

14 .323 .979 

13 .484 .959 



53 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 38 - UO 
F X M D F 



,320 12 .661 .928 

11 .822 .879 

10 .933 .815 

9 .984 .739 

,330 19 .017 .999 

17 .076 .997 

16 .141 .993 



.420 13 .946 .810 

12 .984 .751 

.440 23 .021 .999 

22 .045 .998 

21 .088 .996 

?0 .157 .992 

19 .258 .984 



.540 21 .4fa6 .961 

20 .636 .937 

19 .773 .906 

18 .878 .868 

17 .945 .825 

16 .980 .779 

.560 27 .027 .999 



.750 33 .029 .999 

32 .07"^ .997 

31 .15? .993 

30 .270 .986 

29 .420 .974 

28 .58? .957 

27 .75^ .933 



15 .242 .986 

14 .380 .973 

13 .548 .949 

12 .721 .913 

1 1 .366 .860 

10 .954 .793 

,340 19 .023 .999 



13 .391 .971 



.460 24 .017 .999 



26 .057 .998 



17 


.544 


.951 


25 


.111 


.995 


16 


.700 


.920 


24 


.193 


.990 


15 


.833 


.880 


23 


.306 


.981 


14 


.925 


.831 


22 


.444 


.966 


13 


.974 


.776 


21 


.595 


.945 



20 .736 .917 



.800 



26 .84-' .906 

25 .924 .874 

24 .968 .841 

23 .988 .807 

34 .046 .999 

33 .114 .996 

32 .229 .990 



18 .050 .998 

17 .098 .996 

16 .176 .991 

15 .290 .982 

14 .439 .965 

13 .611 .938 

12 .776 .897 



22 .075 .997 
21 .137 .993 
20 .229 .987 
19 .353 .975 
18 .501 .957 
17 .656 .931 
16 .796 .895 



.580 



19 .851 .882 

18 .929 .842 

17 .972 .797 

28 .020 .999 

27 .046 .998 

26 .092 .996 

25 .166 .992 



31 .38-^ .979 

30 .556 .963 

29 .716 .941 

28 .841 .915 

27 .923 .886 

26 .968 .854 

25 .988 .822 



,360 



11 .901 .840 

10 .970 .771 

20 .020 .999 

19 .043 .998 

18 .085 .996 

17 .155 .992 

16 .259 .984 



15 .899 .850 

14 .961 .798 

13 .988 .743 

.480 24 .030 .999 

23 .063 .997 

22 .118 .994 

21 .202 .989 



24 .271 .984 

23 .404 .971 

22 .553 .953 

21 .698 .927 

20 .8«i1 .895 

19 .909 .857 

18 .961 .815 



.850 35 .070 .998 

34 .176 .993 

33 .35« .984 

32 .528 .969 

31 .706 .949 

30 .84? .924 

29 .927 .896 



,380 



15 .398 .970 

14 .563 .947 

13 .729 .91 1 

12 .865 .861 

11 .951 .799 

10 .988 .730 

21 .017 .999 



19 .074 .997 

18 .136 .993 

17 .230 .987 

16 .359 .975 

15 .516 .954 

14 .682 .923 

13 .827 .880 



.500 



20 


.317 


.979 


17 


.987 


.771 


28 


.971 


.866 


19 


.459 


.963 .600 28 


.036 


.999 .900 36 


.104 


.997 


13 


.613 


.940 


27 


.075 


.997 


35 


.27^ 


.990 


17 


.757 


.907 


26 


.141 


.993 


34 


.495 


.976 


16 


.871 


.866 


25 


.238 


.987 


33 


.704 


.957 


15 


.944 


.818 


24 


.365 


.976 


32 


.855 


.933 


14 


.981 


.766 


23 


.51 1 


.959 


31 


.941 


.905 


25 


.024 


.999 


22 


.659 


.936 


30 


.980 


.877 


24 


.052 


.998 


21 


.790 


.906 .950 37 


.150 


.996 


23 


.100 


.995 


20 


.888 


.870 


36 


.44U 


.984 


22 


.176 


.991 


19 


.949 


.831 


35 


.724 


.965 


21 


.283 


.982 


13 


.981 


.789 


34 


.895 


.941 


20 


.419 


.968 .650 30 


.027 


.999 


33 


.968 


.914 


19 


.570 


.948 


29 


.061 


.998 









,400 



.420 



12 .927 .824 
1 1 .978 .760 
21 .031 .999 
20 .063 .997 
19 .118 .994 
18 .204 .989 
17 .323 .978 



16 .472 .961 

15 .635 .934 

14 .785 .895 

13 .399 .845 

12 .964 .787 

22 .026 .999 

21 .054 .998 



20 .102 .995 

19 .180 .990 

18 .290 .981 

17 .430 .966 

16 .589 .943 

15 .743 .909 

14 .867 .864 



.520 



.540 



18 .718 .918 
17 .841 .881 
16 .925 .837 
15 .972 .788 
26 .019 .999 
25 .043 .998 
24 .085 .996 



?3 .153 .992 

22 .251 .985 

21 .380 .973 

20 .527 .955 

19 .677 .928 

18 .308 .894 

17 .903 .853 



16 .960 .807 

15 .987 .756 

26 .034 .999 

25 .070 .997 

24 .131 .994 

23 .221 .937 

22 .342 .977 



.700 



28 


.121 


.995 


POPULATION 


40 


27 


.213 


.989 










26 


.336 


.979 


.004 


1 


.156 


.999 


25 


.482 


.964 


.006 


1 


.254 


.998 


24 


.633 


.943 


.007 


1 


.27? 


.997 


23 


.768 


.916 


.008 


1 


.31 1 


.996 


22 


.871 


.834 


.009 


1 


.349 


.995 


21 


.939 


.847 


.010 


1 


.363 


.994 


20 


.975 


.809 


.01 1 


2 


.074 


.999 


32 


.018 


.999 




1 


.426 


.992 


31 


.045 


.998 


.012 


2 


.087 


.999 


30 


.098 


.996 




1 


.464 


.990 


29 


.184 


.991 


.013 


2 


.101 


.999 


28 


.305 


.983 




1 


.501 


.988 


27 


.452 


.969 


.014 


2 


.115 


.999 


26 


.607 


.950 




1 


.55^ 


.985 


25 


.748 


.925 


.015 


2 


.1 50 


.999 


24 


.857 


.895 




1 


.575 


.981 


23 


.930 


.862 


.016 


2 


. 146 


.998 


22 


.971 


.826 




1 


.61 1 


.977 


?1 


.990 


.789 


.017 


2 


.16? 


.998 



54 



FINITE QUEUING TABLES 
X M D F X 



D 



M 



D 



POPULATION 40 - UO 
F X M D F 



.017 
.018 

.019 

.020 



1 .646 .973 

2 .179 .998 

1 .680 .967 

2 .197 .997 

1 .714 .961 

2 .215 .997 
1 .746 .953 



.052 



.054 



5 .056 .999 

4 .169 .996 

3 .432 .981 

2 .863 .888 

5 .064 .999 

4 .188 .995 

3 .465 .976 



.090 
.095 



3 .940 .814 
8 .031 .999 
7 .082 .993 
6 .193 .993 
5 .401 .979 

4 .710 .931 
3 .964 .780 



.140 
.145 



4 .989 .712 
10 .053 .999 

9 .11'^ .996 

8 .237 ,989 

7 .427 .973 

6 .67C( .932 

5 .905 .340 



,021 



.233 .996 



1 .777 .945 
,022 3 .059 .999 

2 .252 .995 

1 .806 .935 
.023 3 .066 .999 

2 .272 .995 



.024 



.025 



.026 



.028 



.030 



.032 



.034 



.036 



.038 



.040 



.042 



.044 



.046 



.048 



.050 



1 .834 .924 



3 


.074 


.999 


2 


.292 


.994 


1 


.859 


.91 1 


3 


.082 


.999 


2 


.312 


.993 



1 .882 .897 



3 


.090 


.999 


2 


.333 


.992 


1 


.903 


.882 


3 


.108 


.998 


2 


.375 


.989 


1 


.938 


.847 


3 


.128 


.998 


2 


.419 


.987 


1 


.963 


.809 


3 


.149 


.997 


2 


.463 


.983 


1 


.979 


.769 


4 


.047 


.999 


3 


.171 


.997 


2 


.507 


.979 


1 


.989 


.730 


4 


.056 


.999 


3 


.195 


.996 


2 


.552 


.974 


4 


.067 


.999 


3 


.221 


.995 


2 


.596 


.968 


4 


.078 


.999 


3 


.248 


.994 


2 


.640 


.960 


4 


.090 


.998 


3 


.276 


.992 


2 


.683 


.952 


4 


.104 


.998 


3 


.305 


.991 


2 


.724 


.942 


4 


.1 19 


.998 


3 


.336 


.989 


2 


.763 


.931 


5 


.041 


.999 


4 


.13U 


.997 


3 


.367 


.987 


2 


.799 


.918 


5 


.048 


.999 


4 


.151 


.997 


3 


.399 


.984 


2 


.833 


.904 



.056 



.058 



.060 



.062 



.064 



.066 



.068 



,070 



.075 



.080 



.085 



.090 



2 .890 .870 
5 .073 .999 

4 .208 .994 

3 .498 .974 
2 .913 .852 

5 .083 .998 

4 .229 .993 



3 .532 .970 



2 


.933 


.832 


5 


.094 


.99b 


4 


.251 


.992 


3 


.566 


.965 


2 


.949 


.812 


6 


.035 


.999 


5 


.105 


.998 


4 


.273 


.991 


3 


.599 


.960 


2 


.962 


.792 


6 


.040 


.999 


5 


.117 


.997 


4 


.297 


.989 


3 


.632 


.954 


2 


.972 


.771 


6 


.046 


.999 


5 


.130 


.997 


4 


.321 


.988 


3 


.665 


.947 



2 .980 .751 



6 


.052 


.999 


5 


.144 


.996 


4 


.346 


.986 


3 


.696 


.940 


2 


.986 


.731 


6 


.059 


.999 


5 


.159 


.996 



4 .372 .984 
3 .727 .932 



2 


.990 


.71 1 


6 


.078 


.998 


5 


.199 


.994 


4 


.439 


.977 


3 


.798 


.908 


7 


.037 


.999 


6 


.101 


.998 


5 


.243 


.991 


4 


.507 


.969 


3 


.857 


.880 


7 


.049 


.999 


6 


.128 


.997 


5 


.292 


.986 


4 


.577 


.959 


3 


.905 


.849 


7 


.064 


.999 


6 


.158 


.995 


5 


.345 


.984 


4 


.645 


.946 



.100 



,105 



.110 



.115 



120 



.125 



13: 



140 



8 .040 .999 

7 .103 .997 
6 .232 .991 
5 .459 .973 
4 .770 .912 
3 .980 .745 

8 .052 .999 



7 .127 .996 



.150 11 .027 .999 



6 


.274 


.988 


5 


.519 


.965 


4 


.823 


.891 


3 


.989 


.712 


9 


.025 


.999 


8 


.066 


.998 


7 


.154 


.995 


6 


.319 


.985 


5 


.578 


.955 


4 


.868 


.868 


9 


.033 


.999 


8 


.083 


.998 


7 


.185 


.993 



6 .367 .981 

5 .637 .944 
4 .905 .843 
9 .042 .999 
8 .102 .997 

7 .218 .991 

6 .418 .975 



5 


.694 


.931 


4 


.934 


.816 


9 


.053 


.999 


8 


.123 


.996 


7 


.255 


.989 


6 


.470 


.969 


5 


.746 


.916 



4 .956 .790 
.130 10 .027 .999 



9 


.066 


.99a 


8 


.147 


.995 


7 


.295 


.986 


6 


.523 


.962 


5 


.795 


.899 


4 


.971 


.763 


10 


.034 


.999 


9 


.031 


.998 


8 


.175 


.993 


7 


.337 


.982 


6 


.576 


.953 


5 


.838 


.880 


4 


.962 


.737 


10 


.043 


.999 


9 


.098 


.997 


8 


.204 


.992 


7 


.381 


.978 


6 


.628 


.943 


5 


.875 


.860 



155 



160 



.165 



.170 



.180 



.190 



,200 



10 


.065 


.998 


9 


.14^ 


.995 


8 


.272 


.987 


7 


.475 


.967 


6 


.726 


.919 


5 


.95'^ 


.618 


1 1 


.05u 


.999 


10 


.07-^ 


.998 


9 


.164 


.994 


8 


.309 


.984 


7 


.523 


.960 


6 


.771 


.905 


5 


.95'^ 


.796 


1 1 


.O^i^ 


.999 


10 


.094 


.997 


9 


.191 


.992 


8 


.349 


.980 


7 


.571 


.952 


6 


.812 


.389 


5 


.965 


.775 


12 


.C2P 


.999 


10 


.112 


.996 


9 


.220 


.990 


8 


.390 


.976 


7 


.618 


.943 


6 


1648 


.873 


5 


.976 


.753 


12 


.02-' 


.999 


1 1 


.06? 


.998 


10 


.1 51 


.995 


9 


.251 


.988 


8 


.453 


.971 


7 


.66'=. 


.933 


6 


.879 


.856 


5 


.984 


.733 


12 


.04 1 


.999 


1 1 


.089 


.997 


10 


.177 


.992 


9 


.32^^ 


.982 


B 


.521 


.959 


7 


.750 


.910 


6 


.92« 


.820 


13 


.026 


.999 


12 


.059 


.998 


1 1 


.123 


.995 


10 


.251 


.989 


9 


.396 


.974 



8 .609 .943 



7 .02U .882 

6 .960 .783 

13 .059 .999 

12 .083 .997 

11 .164 .993 

10 .29^ .984 

9 .476 .964 



55 



FINITE QUEUING TABLES 
X M F X 



POPULATION UO - no 
F X I'l D F 



.200 



,210 



8 .693 .924 

7 .882 .853 

6 .979 .747 

14 .02S .999 

13 .056 .998 

12 .114 .996 

11 .212 .990 



.270 



.2B0 



9 .925 .823 

8 .984 .739 

17 .029 .999 

16 .060 .996 

15 .116 .995 

14 .206 .989 

13 .336 .978 



.340 17 .154 .993 

16 .257 .985 

15 .394 .972 

14 .557 .949 

13 .724 .914 

12 .862 .865 

11 .950 .804 



.460 22 .1 3R .993 

21 .220 .987 

20 .34=^ .977 

19 .491 .960 

18 .64"^ .935 

17 .781 .902 

16 .887 .860 



.220 



,250 



10 


.362 


.977 


9 


.559 


.951 


8 


.769 


.902 


7 


.926 


.821 


6 


.990 


.713 


1 4 


.037 


.999 


1 3 


.07r 


.997 


12 


.1 51 


.994 


1 1 


.269 


.985 


10 


.436 


.969 


9 


.b40 


.936 


8 


.834 


.877 


7 


.956 


.789 



.230 15 .023 .999 



.240 



14 .052 .998 

13 .105 .996 

1? .195 .991 

11 .331 .980 

10 .513 .958 

9 .716 .917 

8 .886 .850 



7 


.975 


.758 


15 


.034 


.999 


14 


.072 


.997 


13 


.139 


.994 


12 


.246 


.987 


1 1 


.400 


.972 


10 


.591 


.945 


9 


.784 


.896 


8 


.925 


.822 


7 


.987 


.728 


16 


.022 


.999 


15 


.048 


.998 


14 


.097 


.996 


13 


.179 


.992 



.290 



.300 



.310 



.320 



12 .503 .958 
11 .637 .924 
10 .349 .370 

9 .951 .798 

13 .018 .999 
16 .080 .997 
15 .149 .993 



14 .254 .986 

13 .398 .972 

12 .573 .947 

11 .751 .906 

10 .392 .847 

9 .969 .773 

18 .026 .999 



17 .054 .998 

16 .105 .996 

15 .187 .991 

14 .307 .931 

13 .464 .963 

12 .642 .934 

11 .808 .886 



10 .925 .824 

9 .932 .748 

18 .036 .999 

17 .073 .997 

16 .135 .994 

15 .232 .987 

14 .366 .975 



13 .531 .953 

12 .707 ,919 
1 1 .856 .867 
10 .950 .801 

9 .939 .725 

19 .023 .999 

13 .049 .998 



.360 



.380 



.400 



.420 



10 .988 .734 

21 .018 .999 

19 .077 .997 

18 .139 .993 

17 .234 .987 

16 .362 .975 

15 .518 .955 



14 


.682 


.925 


13 


.827 


.881 


12 


.928 


.826 


1 1 


.978 


.762 


21 


.034 


.999 


20 


.068 


.997 


19 


.125 


.994 


18 


.212 


.988 


17 


.332 


.978 


16 


.481 


.961 


15 


.642 


.934 


14 


.791 


.B95 


13 


.903 


.845 


12 


.966 


.787 



22 .030 .999 

21 .060 .998 

20 .112 .995 

19 .192 .990 

18 .304 .981 

17 .445 .965 

16 .603 .942 



15 .754 .907 

14 .875 .862 

13 .950 .808 

12 .986 .749 

23 .026 .999 

22 .053 .998 

21 .099 .996 



.480 



.500 



.520 



15 


.953 


.812 


14 


.985 


.760 


25 


.053 


.999 


24 


.067 


.997 


23 


.122 


.994 


22 


.205 


.989 


21 


.31'' 


.979 


20 


.457 


.965 


19 


.606 


.942 


18 


.743 


.912 


17 


.86? 


.874 


16 


.95R 


.629 


15 


.973 


.780 


26 


.02^^ 


.999 


25 


.057 


.993 


24 


.lO-' 


.995 


23 


.184 


.990 


22 


.190 


.982 


21 


.423 


.969 


20 


.570 


.949 


19 


.714 


.921 


18 


.855 


.886 


17 


.920 


.844 


16 


.963 


.798 


27 


.023 


.999 


26 


.C4S 


.998 


25 


.09^ 


.996 



24 .16"^ .992 



23 .263 .984 

22 .390 .973 

21 .555 .955 

20 .630 .930 

19 .807 .897 

18 .901 .853 

17 .95R .815 



.260 



.270 



12 .303 .982 

11 .472 .963 

10 .665 .929 

9 .842 .873 

8 .953 .794 

16 .031 .999 

15 .066 .998 



1 4 


.127 


.995 


13 


.225 


.988 


12 


.366 


.976 


1 1 


.545 


.952 


10 


.735 


.91 1 


9 


.889 


.849 


8 


.972 


.766 


17 


.020 


.999 


15 


.088 


.997 


1 4 


.163 


.992 


13 


.278 


.984 


12 


.434 


.968 


1 1 


.613 


.939 


10 


.797 


.891 



530 



.340 



17 .095 .996 

16 .170 .992 

15 .281 .983 

14 .428 .968 

13 .598 .942 

12 .766 .902 

11 .895 .847 



10 .968 .778 

19 .032 .999 

18 .065 .998 

17 .122 .995 

16 .211 .989 

15 .335 .976 

14 .492 .959 



13 .663 .929 
12 .818 .884 
1 1 .926 .825 
10 .980 .756 
20 .021 .999 
19 .044 .996 
18 .086 .996 



.440 



20 


.173 


.991 


19 


.277 


.983 


18 


.41 1 


.970 


17 


.564 


.948 


16 


.717 


.918 


15 


.845 


.877 


14 


.932 


.828 


13 


.977 


.772 


24 


.022 


.999 


23 


.046 


.998 


22 


.088 


.996 


21 


.155 


.992 


20 


.252 


.985 


19 


.379 


.973 



.540 



.460 



18 .527 .954 

17 .630 .927 

16 .814 .890 

15 .911 .845 

14 .966 .793 

25 .018 .999 

23 .077 .997 



.560 



16 .98"^ .768 

28 .019 .999 

26 .080 .997 

25 .144 .993 

24 .257 .987 

23 .353 .976 

22 .500 .960 



21 .646 .937 

20 .778 .907 

19 .879 .871 

la .945 .830 

17 .979 .786 

28 .033 .999 

27 .063 .997 



26 .126 .994 

25 .212 .989 

24 .327 .979 

23 .465 .965 

22 .61 1 .944 

21 .74« .917 

20 .857 .883 



56 



FINITE QUEUING TABLES 
X M D F X 



.560 19 .931 .sua 

18 .972 .802 

.580 29 .027 .999 

28 .057 .998 

27 .109 .995 

26 .188 .990 

25 .297 .982 



.600 



.650 



,700 



.750 



.800 



2n 


.431 


.969 


23 


.577 


.950 


22 


.716 


.925 


21 


.833 


.894 


20 


.915 


.857 


19 


.963 


.817 


18 


.987 


.775 


30 


.021 


.999 


29 


.047 


.998 


28 


.093 


.996 


27 


.165 


.992 


26 


.268 


.985 


25 


.397 


.973 


24 


.542 


.956 



.800 32 .488 .971 

31 .652 .952 

30 .791 .929 

?9 .890 .903 

28 .949 .374 

27 .980 .843 

.850 37 .055 .996 



36 .146 .995 

35 .291 .988 

34 .472 .975 

33 .653 .957 

32 .301 .935 

31 .901 .909 

30 .958 .381 



.900 



23 .685 .933 
22 .607 .903 
21 .897 .869 
20 .953 .831 
19 .982 .791 
32 .016 .999 
30 .082 .997 



.950 



29 .985 .853 

38 .088 .99t: 

37 .240 .992 

36 .451 .980 

35 .662 .963 

34 .825 .940 

33 .923 .915 



32 .972 .886 
39 .135 .997 

33 .415 .986 
37 .696 .969 
36 .878 .946 
35 .961 .921 



.023 



.'^24 



.^^25 



,026 



.028 



.030 



.032 



.034 



.036 



.038 



2 


.296 


.994 


1 


.8o5 


.91 1 


3 


.084 


.999 


2 


.317 


.993 


1 


.890 


.896 


3 


.093 


.999 


2 


.339 


.992 


1 


.91 1 


.880 


3 


.102 


.999 


2 


.362 


.991 


1 


.930 


.862 


3 


.122 


.998 


2 


.407 


.988 


1 


.958 


.822 


3 


.1 44 


.99" 


2 


.453 


.965 


1 


.977 


.780 


4 


.045 


.999 


3 


.167 


.997 


2 


.500 


.980 



PUPULATION 40 - 42 
F X ^l D F 
.058 



.060 



1 .989 .73P 



4 .055 .999 

3 .193 .996 

2 .547 .975 

4 .066 .999 

3 .219 .995 
2 .594 .969 

4 .078 .999 



29 


.152 


.993 


POPULATION 


42 




3 


.248 


.994 


23 


.253 


.986 












2 


.641 


.962 


27 


.383 


.975 


.004 


1 


.164 


.999 


.O40 


4 


.091 


.999 


26 


.529 


.959 


.006 


1 


.246 


.998 




3 


.277 


.993 


25 


.673 


.938 


.007 


1 


.286 


.997 




2 


.686 


.953 


24 


.797 


.91 1 


.008 


1 


.327 


.996 


.042 


4 


.106 


.998 


23 


.890 


.879 


.009 


1 


.367 


.995 




3 


.308 


.991 


22 


.948 


.844 


.010 


1 


.407 


.993 




2 


.729 


.943 


21 


.979 


.807 


.01 1 


2 


.082 


.999 


.044 


4 


.121 


.99P 


33 


.030 


.999 




1 


.447 


.991 




3 


.340 


.989 


32 


.068 


.997 


.012 


2 


.095 


.999 




2 


.770 


.931 


31 


.135 


.994 




1 


.487 


.989 


.046 


5 


.043 


.999 


30 


.236 


.988 


.013 


2 


.110 


.999 




4 


.133 


.997 


29 


.366 


.978 




1 


.526 


.986 




3 


.373 


.98'7 


28 


.515 


.963 


.014 


2 


. 126 


.999 




2 


.803 


.913 


27 


.663 


.943 




1 


.565 


.983 


.04 8 


5 


.050 


.999 


26 


.791 


.917 


.015 


2 


.142 


.998 




4 


.156 


.997 


25 


.885 


.888 




1 


.603 


.979 




3 


.407 


.984 


24 


.945 


.855 


.016 


2 


.159 


.998 




2 


.843 


.902 


23 


.978 


.821 




1 


.640 


.975 


.050 


5 


.059 


.999 


35 


.020 


.999 


.017 


2 


.177 


.996 




4 


.175 


.996 


34 


.052 


.998 




1 


.677 


.969 




3 


.442 


.981 


33 


.114 


.995 


.018 


2 


.195 


.997 




2 


.374 


.885 


32 


.213 


.990 




1 


.712 


.963 


.052 


5 


.068 


.999 


31 


.347 


.981 


.019 


2 


.214 


.997 




4 


.195 


.995 


30 


.502 


.967 




1 


.746 


.955 




3 


.477 


.978 


29 


.656 


.948 


.020 


2 


.234 


.996 




2 


.901 


.866 


28 


.788 


.923 




1 


.779 


.947 


.054 


5 


.077 


.999 


27 


.885 


.895 


.021 


3 


.060 


.999 




4 


.217 


.994 


26 


.945 


.865 




2 


.254 


.996 




3 


.513 


.974 


25 


.978 


.833 




1 


.810 


.936 




2 


.924 


.846 


36 


.034 


.999 


.022 


3 


.067 


.999 


.056 


5 


.088 


.99P 


35 


.088 


.997 




2 


.275 


.995 




4 


.239 


.993 


34 


.185 


.992 




1 


.339 


.925 




3 


.548 


.969 


33 


.323 


.984 


.023 


3 


.075 


.999 




2 


.943 


.825 



.062 



.064 



.066 



.068 



.070 



.075 



.080 



.085 



.090 



.095 



,100 



5 


.100 


.998 


4 


.263 


.992 


3 


.584 


.964 


2 


.953 


.804 


6 


.053 


.999 


5 


.11? 


.998 


4 


.287 


.990 


3 


.619 


.958 


2 


.97^ 


.78' 


6 


.044 


.999 


5 


.126 


.997 


4 


.31? 


.989 


3 


.654 


.952 


2 


.979 


.760 


6 


.05'^ 


.999 


5 


.I4n 


.997 


4 


.333 


.987 


3 


.633 


.944 


2 


.98S 


.739 


6 


.057 


.999 


5 


.15^ 


.996 


4 


.36^ 


.935 


3 


.720 


.936 


2 


.990 


.718 


6 


.064 


.999 


5 


.171 


.995 


4 


.393 


.983 


3 


.75-' 


.927 


6 


.07-^ 


.999 


5 


.183 


.995 


4 


.421 


.980 


3 


.78^ 


.917 


7 


.0 54 


.999 


6 


.096 


.998 


5 


.254 


.992 


4 


.493 


.972 


3 


.64<^ 


.889 


7 


.047 


.999 


6 


.123 


.997 


5 


.284 


.989 


4 


.566 


.962 


3 


.901 


.856 


7 


.06? 


.999 


6 


.155 


.996 


5 


.359 


.985 


4 


.659 


.949 


3 


.959 


.821 


a 


.050 


.999 


7 


.081 


.993 


6 


.191 


.994 


5 


.39'^ 


.980 


4 


.703 


.934 


3 


.965 


.784 


8 


.041 


.999 


7 


.103 


.997 


6 


.25? 


.992 


5 


.459 


.974 


4 


.77? 


.915 


3 


.981 


.747 


8 


.05 3 


.999 


7 


.123 


.996 


6 


.276 


.989 


5 


.52? 


.966 



57 



FINITE QUEUING TABLES 



POPULATION 42 - az 



M 



D 



M 



D 



.100 
.105 



.110 



.115 



.120 



.125 



.130 



.135 



140 



4 .828 .893 
9 .026 .999 
8 .068 .998 
7 .157 .995 
6 .324 .985 

5 .586 .956 
4 .875 .868 



9 


.035 


.999 


8 


.086 


.998 


7 


.190 


.993 


6 


.375 


.981 


5 


.647 


.944 


4 


.913 


.841 


9 


.045 


.999 


8 


.106 


.997 


7 


.226 


.991 


6 


.429 


.975 


5 


.707 


.930 


4 


.942 


.813 


9 


.057 


.999 



8 .130 .996 



7 


.266 


.989 


6 


.484 


.968 


5 


.762 


.914 


4 


.962 


.785 





.029 


.999 


9 


.071 


.998 



8 .156 .995 



7 


.308 


.985 


6 


.540 


.960 


5 


.81 1 


.896 


4 


.977 


.757 


10 


.037 


.999 


9 


.088 


.997 



8 .186 .993 



7 


.354 


.981 


6 


.596 


.951 


5 


.854 


.876 


4 


.986 


.730 


10 


.047 


.999 


9 


.107 


.997 



8 .218 .991 



7 .401 .977 
6 .651 .940 
5 .891 .854 

11 .024 .999 

10 .059 .998 

9 .129 .996 

8 .254 .989 



1 150 



.155 



.160 



,165 



,170 



,180 



.190 



7 


.552 


.957 


6 


.797 


.898 


5 


.961 


.786 


1 1 


.048 


.999 


10 


.106 


.997 


9 


.209 


.991 


8 


.376 


.976 


7 


.602 


.948 


6 


.837 


.881 


5 


.974 


.763 


12 


.026 


.999 


1 1 


.059 


.996 


10 


.126 


.996 


9 


.241 


.989 


8 


.420 


.973 


7 


.652 


.938 


6 


.872 


.864 


5 


.983 


.741 


12 


.032 


.999 


1 1 


.072 


.998 


10 


.148 


.994 


9 


.276 


.986 


8 


.466 


.968 


7 


.699 


.927 


6 


.901 


.845 


5 


.989 


.720 


12 


.040 


.999 


1 1 


.087 


.997 


10 


.173 


.993 


9 


.313 


.983 


8 


.513 


.961 


7 


.744 


.914 


6 


.926 


.826 


13 


.026 


.999 


12 


.059 


.998 


11 


.122 


.996 


10 


.229 


.989 


9 


.392 


.976 


8 


.606 


.946 


7 


.823 


.886 


6 


.960 


.787 


13 


.040 


.999 


12 


.084 


.997 


1 1 


.165 


.993 


10 


.294 


.984 


9 


.477 


.965 


8 


.695 


.926 


7 


.885 


.855 



.?10 



.220 



.230 



.240 



.250 



8 


.842 


.877 


7 


.960 


.788 


15 


.026 


.999 


14 


.056 


.998 


13 


.111 


.996 


12 


.204 


.990 


1 1 


.343 


.979 


10 


.527 


.957 


9 


.729 


.916 


8 


.895 


.848 


7 


.978 


.755 


15 


.038 


.999 


14 


.078 


.997 



,280 



,290 



13 .148 .994 



12 .60« .942 

11 .781 .899 

10 .91 1 .839 

9 .977 .763 

18 .05? .999 

17 .06"=^ .998 

16 .123 .995 



15 .212 .989 

14 .340 .978 

13 .501 .959 

12 .67P .927 

11 .856 .879 

10 .941 .814 

9 .987 .738 



12 


.259 


.986 .300 19 


.021 


.999 


1 1 


.416 


.971 


18 


.045 


.998 


10 


.608 


.943 


17 


.087 


.997 


9 


.799 


.894 


16 


.157 


.993 


8 


.934 


.818 


15 


.262 


.985 


7 


.989 


.723 


14 


.40^ 


.972 


16 


.025 


.999 


13 


.572 


.948 



15 .054 .998 

14 .106 .996 

13 .192 .991 

12 .321 .981 

11 .492 .962 

10 .686 .926 

9 .857 .869 



8 


.960 


.788 


16 


.036 


.999 


15 


.074 


.997 


14 


.140 


.994 


13 


.243 


.987 


12 


.389 


.974 


1 1 


.570 


.949 


10 


.757 


.907 


9 


.903 


.843 


8 


.977 


.759 


17 


.024 


.999 


16 


.051 


.998 


15 


.100 


.996 


14 


.IdO 


.992 



6 .980 .749 



.260 



13 .300 .982 

12 .461 .965 

1 1 .646 .935 

10 .819 .886 

9 .937 .816 

8 .988 .731 

.270 17 .034 .999 



,310 



.320 



.330 



12 .743 .911 

11 .881 .857 

10 .96? .790 

19 .050 .999 

18 .061 .998 

17 .114 .995 

16 .19'' .990 



15 .317 .980 
14 .470 .963 
13 .641 .935 
12 .801 .893 
11 .917 .835 
10 .977 .766 
20 .020 .999 



18 .081 .997 

17 .146 .993 

16 .244 .987 

15 .377 .974 

14 .558 .953 

13 .706 .921 

12 .851 .873 



11 .944 .813 

10 .986 .743 

20 .028 .999 

19 .056 .998 

18 .106 .996 

17 .184 .991 

16 .296 .982 



145 



150 



7 


.451 


.971 


6 


.703 


.928 


5 


.920 


.832 


1 1 


.031 


.999 


10 


.072 


.998 


9 


.153 


.994 


8 


.292 


.986 


7 


.501 


.964 


6 


.752 


.914 


5 


.943 


.809 


1 1 


.039 


.999 


10 


.088 


.997 


9 


.180 


.993 


8 


.333 


.982 



.200 



,210 



14 


.026 


.999 


13 


.058 


.998 


12 


.1 17 


.996 


1 1 


.216 


.990 


10 


.367 


.977 


9 


.564 


.952 


8 


.775 


.903 


7 


.930 


.821 


14 


.039 


.999 


13 


.081 


.997 


12 


.157 


.993 


1 1 


.276 


.985 


10 


.445 


.968 


9 


.650 


.936 



.280 



16 


.070 


.998 


15 


.131 


.994 


14 


.227 


.988 


13 


.363 


.976 


12 


.534 


.955 


1 1 


.717 


.918 


10 


.870 


.863 


9 


.961 


.789 


18 


.023 


.999 


17 


.048 


.998 


16 


.093 


.996 


15 


.168 


.992 


14 


.281 


.984 


13 


.431 


.969 



.340 



13 
12 



15 .441 .967 

14 .606 .942 

,766 .904 

,891 .853 

11 .964 .790 

21 .018 .999 

19 .075 .997 



18 .136 .994 

17 .227 .988 

16 .35? .977 

15 .506 .958 

14 .671 .929 

12 .819 .887 

12 .923 .832 



58 



FINITE QUEUING TABLES 
X M D F X 



POPULATION i+2 - 44 
F X M D F 



.340 
.360 



.380 



1 1 


.977 


.768 .460 18 


.767 


.908 .580 29 


.069 


.997 .800 33 


.587 


.962 


21 


.035 


.999 


17 


.875 


.869 


28 


.126 


.994 


32 


.755 


.941 


20 


.069 


.997 


16 


.945 


.824 


27 


.21 1 


.989 


31 


.850 


.917 


19 


.125 


.994 


15 


.981 


.775 


26 


.323 


.980 


30 


.925 


.891 


18 


.21 1 


.989 .480 27 


.017 


.999 


25 


.457 


.967 


29 


.967 


.86? 


17 


.329 


.979 


25 


.070 


.997 


24 


.599 


.943 


28 


.988 


.833 


16 


.476 


.962 


24 


.126 


.994 


23 


.733 


.923 .850 39 


.04^ 


.999 


15 


.637 


.936 


23 


.208 


.989 


22 


.843 


.893 


38 


.12^ 


.996 


14 


.787 


.899 


22 


.319 


.980 


21 


.920 


.857 


37 


.24q 


.990 


1 3 


.900 


.849 


21 


.454 


.966 


20 


.965 


.819 


36 


.41 S 


.980 


12 


.965 


.791 


20 


.600 


.945 


19 


.987 


.779 


35 


.599 


.964 


22 


.032 


.999 


19 


.740 


.916 .600 31 


.028 


.999 


34 


.756 


.944 


21 


.063 


.998 


18 


.853 


.880 


30 


.059 


.998 


33 


.871 


.921 


20 


.115 


.995 


17 


.931 


.838 


29 


.111 


.995 


32 


.94 1 


.895 



19 .195 .990 

18 .307 .981 

17 .447 .966 

16 .604 .943 

15 .755 .909 

14 .875 .864 

13 .951 .810 



16 .974 .792 

.500 27 .031 .999 

26 .062 .998 

25 .113 .995 

24 .191 .990 

23 .296 .982 

22 .427 .969 



28 .190 .991 

27 .298 .983 

26 .429 .970 

25 .571 .953 

24 .708 .930 

23 .823 .901 

22 .906 .868 



.900 



31 .976 .868 

40 .074 .998 

39 .21 1 .993 

38 .409 .983 

37 .620 .968 

36 .79? .948 

35 .903 .924 



,400 



12 .986 .751 

23 .029 .999 

22 .057 .998 

21 .106 .995 

20 .180 .991 

19 .286 .983 

18 .419 .969 



21 .571 .950 

20 .711 ,924 

19 .830 .891 

18 .915 .851 

17 .965 .807 

16 .988 .761 

.520 28 .027 .999 



.650 



21 .957 .831 

20 .984 .793 

33 .025 .999 

32 .054 .998 

31 .106 .996 

30 .186 .991 

29 .295 .983 



.950 



34 .96? .899 

33 .987 .873 

41 .12? .997 

40 .387 .988 

39 .668 .972 

38 .e5Q .951 

37 .95^ .927 



.420 



17 .572 .948 

16 .723 .918 

15 .849 .877 

14 .935 .828 

13 .979 .772 

24 .025 .999 

23 .052 .998 



27 .055 .998 

26 .102 .996 

25 .174 .991 

,274 .984 

,400 .972 

?2 .542 .955 

21 .633 .931 



24 
23 



28 .429 .972 

27 .572 .955 

26 .709 .933 

25 .823 .906 

24 .906 .874 

23 .956 .841 

22 .983 .805 



36 .987 .902 



22 


.096 


.996 


20 


.807 


.900 .700 35 


.020 


.999 


POPULATION 


44 


21 


.166 


.992 


19 


.899 


.863 


34 


.047 


.998 










20 


.265 


.984 


18 


.955 


.822 


33 


.098 


.996 


.004 


1 


.172 


.999 


19 


.393 


.972 


17 


.984 


.778 


32 


.178 


.992 


.006 


1 


.257 


.998 


18 


.541 


.953 .540 29 


.023 


.999 


31 


.290 


.985 


.007 


1 


.300 


.997 


17 


.692 


.926 


28 


.047 


.99b 


30 


.428 


.973 


.008 


1 


.343 


.996 


16 


.823 


.889 


27 


.090 


.996 


29 


.575 


.957 


.009 


1 


.385 


.995 


15 


.916 


.843 


26 


.157 


.992 


28 


.714 


.936 


.010 


1 


.427 


.993 


14 


.969 


.79 1 


25 


.252 


.966 


27 


.828 


.910 


.01 1 


2 


.089 


.999 


440 25 


.022 


.999 


24 


.374 


.975 


26 


.908 


.860 




1 


.469 


.991 


24 


.046 


.998 


?3 


.513 


.959 


25 


.957 


.849 


.012 


2 


.104 


.999 


23 


.087 


.996 


22 


.655 


.937 


24 


.983 


.816 




1 


.510 


.988 


22 


.152 


.993 


21 


.783 


.908 .750 36 


.037 


.999 


.013 


2 


.120 


.999 


21 


.245 


.986 


20 


.881 


.874 


35 


.085 


.997 




1 


.551 


.985 


20 


.368 


.975 


19 


.945 


.834 


34 


.166 


.993 


.014 


2 


. 1 57 


.999 


19 


.51 1 


.958 


13 


.979 


.793 


33 


.282 


.986 




1 


.591 


.981 


18 


.661 


.933 .560 30 


.019 


.999 


32 


.426 


.975 


.015 


2 


.155 


.998 


17 


.795 


.899 


28 


.079 


.997 


31 


.579 


.959 




1 


.651 


.977 


16 


.897 


.857 


27 


.141 


.993 


30 


.722 


.938 


.016 


2 


.17"' 


.998 


15 


.958 


.809 


26 


.231 


.988 


29 


.836 


.914 




1 


.670 


.972 


14 


.967 


.757 


25 


.348 


.978 


28 


.914 


.886 


.017 


2 


.19? 


.998 


460 26 


.020 


.999 


24 


.485 


.963 


27 


.961 


.856 




1 


.707 


.965 


24 


.078 


.997 


23 


.627 


.943 


26 


.985 


.825 


.018 


2 


.21? 


.997 


23 


.139 


.993 


22 


.758 


.916 .800 38 


.025 


.999 




1 


.74-^ 


.958 


22 


.227 


.988 


21 


.862 


.883 


37 


.067 


.998 


.019 


2 


.25^ 


.996 


21 


.343 


.978 


20 


.933 


.846 


36 


.148 


.994 




1 


.778 


.949 


20 


.482 


.962 


19 


.972 


.806 


35 


.269 


.988 


.020 


3 


.060 


.999 


19 


.630 


.939 .530 30 


.034 


.999 


34 


.423 


.977 




2 


.254 


.996 



59 



FINITE QUEUING TABLES 



POPULATION «a - 44 



.020 


1 


.81 1 


.939 


.054 


5 


.092 


.996 


.095 


8 


.053 


.999 


.145 


10 


.096 


.997 


,021 


3 


.068 


.999 




4 


.247 


.993 




7 


.127 


.996 




9 


.193 


.992 




2 


.276 


.995 




3 


.561 


.969 




6 


.274 


.989 




8 


.35? 


.981 




1 


.841 


.926 




2 


.950 


.321 




5 


.520 


.967 




7 


.576 


.954 


.022 


3 


.076 


.999 


.056 


6 


.035 


.999 




4 


.827 


.896 




6 


.e, 1 R 


.893 




2 


.298 


.994 




5 


.105 


.998 


.100 


8 


.068 


.998 




5 


.96Q 


.778 



1 .869 .912 



4 .272 .992 



7 .158 .995 



.150 12 .02"^ .999 



,023 3 .085 .999 

2 .320 .993 

1 .894 .897 
.024 3 .094 .999 

2 .343 .992 



.025 



1 .916 .879 
3 .104 .999 



.058 



3 .599 .963 

2 .965 .798 
6 .040 .999 
5 .118 .998 

4 .298 .990 

3 .635 .957 
2 .975 .775 



,105 



6 


.325 


.986 


10 


.116 


.996 


5 


.586 


.957 


9 


.22^ 


.990 


4 


.877 


.870 


8 


.39IR 


.977 


9 


.035 


.999 


7 


.620 


.945 


8 


.067 


.998 


6 


.650 


.875 


7 


.192 


.993 


5 


.98^ 


.754 



6 .378 .981 



.155 12 .050 .999 



.026 



,028 



.030 



.032 



,034 



,036 



,038 



.040 



,042 



,044 



,046 



,048 



,050 



,052 



2 


.367 


.991 


.060 


6 


.047 


.999 




5 


.652 


.945 


1 1 


.067 


.998 


1 


.935 


.860 




5 


.133 


.997 




4 


.917 


.842 


10 


.1 58 


.995 


3 


.115 


.998 




4 


.325 


.988 


.110 


9 


.046 


.999 


9 


.261 


.988 


2 


.391 


.990 




3 


.672 


.950 




8 


.109 


.997 


8 


.446 


.971 


1 


.951 


.839 




2 


.983 


.752 




7 


.230 


.991 


7 


.68n 


.934 


3 


.137 


.998 


.062 


6 


.054 


.999 




6 


.435 


.975 


6 


.891 


.856 


2 


.439 


.986 




5 


.148 


.996 




5 


.714 


.930 


5 


.987 


.731 


1 


.974 


.795 




4 


.353 


.987 




4 


.946 


.813 


.160 12 


.057 


.999 


3 


.161 


.997 




3 


.707 


.942 


.1 15 


9 


.059 


.999 


1 1 


.081 


.998 


2 


.488 


.982 




2 


.989 


.730 




8 


.134 


.996 


10 


.163 


.994 


1 


.987 


.751 


.064 


6 


.061 


.999 




7 


.272 


.989 


9 


.299 


.985 


4 


.053 


.999 




5 


.164 


.996 




6 


.493 


.968 


8 


.495 


.965 


3 


.187 


.997 




4 


.382 


.984 




5 


.771 


.913 


7 


.728 


.921 


2 


.538 


.977 




3 


.741 


.933 




4 


.967 


.783 


6 


.919 


.836 


4 


.064 


.999 


.066 


6 


.070 


.999 


.120 


10 


.031 


.999 


.165 12 


.046 


.999 


3 


.215 


.996 




5 


.182 


.995 




9 


.075 


.998 


1 1 


.C9R 


.997 


2 


.587 


.971 




4 


.41 1 


.982 




8 


.162 


.995 


10 


.191 


.992 


4 


.077 


.999 




3 


.773 


.923 




7 


.318 


.985 


9 


.359 


.982 


3 


.245 


.994 


.068 


6 


.079 


.998 




6 


.553 


.960 


8 


.544 


.958 


2 


.636 


.964 




5 


.200 


.994 




5 


.823 


.894 


7 


.773 


.908 


4 


.090 


.999 




4 


.441 


.979 




4 


.980 


.753 


b 


.941 


.815 


3 


.276 


.993 




3 


.803 


.912 


.125 


10 


.040 


.999 


.170 13 


.02 5 


.999 


2 


.684 


.955 


.070 


7 


.031 


.999 




9 


.093 


.997 


12 


.056 


.998 


4 


.105 


.998 




6 


.089 


.996 




8 


.194 


.993 


1 1 


.117 


.996 


3 


.308 


.991 




5 


.219 


.993 




7 


.366 


.981 


10 


.221 


.990 


2 


.730 


.945 




4 


.472 


.976 




6 


.61 1 


.950 


9 


.381 


.973 


4 


.122 


.993 




3 


.831 


.901 




5 


.866 


.873 


8 


.593 


.950 


3 


.342 


.989 


.075 


7 


.044 


.999 




4 


.989 


.725 


7 


.814 


.693 


2 


.773 


.933 




6 


.116 


.997 


.130 


10 


.O3I 


.999 


6 


.958 


.795 


5 


.044 


.999 




5 


.271 


.991 




9 


.1 14 


.997 


.180 13 


.059 


.999 


4 


.140 


.997 




4 


.549 


.966 




8 


.229 


.991 


12 


.08? 


.997 


3 


.377 


.987 




3 


.891 


.867 




7 


.417 


.976 


1 1 


.161 


.994 


2 


.813 


.918 


.080 


7 


.059 


.999 




6 


.668 


.938 


10 


.288 


.985 


5 


.052 


.999 




6 


.149 


.996 




5 


.903 


.850 


9 


.470 


.967 


4 


.159 


.997 




5 


.328 


.987 


.135 


1 1 


.027 


.999 


8 


.688 


.930 


3 


.412 


.984 




4 


.625 


.954 




10 


.064 


.998 


7 


.88? 


.860 


2 


.849 


.902 




3 


.935 


.830 




9 


.137 


.995 


6 


.980 


.755 


5 


.060 


.999 


.085 


3 


.029 


.999 




8 


.268 


.988 


.190 14 


.026 


.999 


4 


.179 


.996 




7 


.078 


.998 




7 


.469 


.970 


13 


.05« 


.993 


3 


.449 


.981 




6 


.186 


.994 




6 


.723 


.925 


12 


.116 


.996 


2 


.881 


.884 




5 


.389 


.982 




5 


.931 


.826 


1 1 


.21"= 


.990 


5 


.070 


.999 




4 


.699 


.938 


.140 


1 1 


.035 


.999 


10 


.36 4 


.978 


4 


.200 


.995 




3 


.964 


.792 




10 


.079 


.998 


9 


.561 


.954 


3 


.486 


.978 


.090 


8 


.040 


.999 




9 


.lfa4 


.994 


8 


.773 


.906 


2 


.909 


.864 




7 


.101 


.997 




8 


.309 


.985 


7 


.95P 


.825 


5 


.081 


.999 




6 


.228 


.992 




7 


.522 


.963 


.200 14 


.040 


.999 


4 


.223 


.994 




5 


.454 


.975 




6 


.773 


.910 


13 


.08? 


.997 


3 


.524 


.974 




4 


.767 


.919 




5 


.953 


.80? 


12 


.158 


.994 


2 


.932 


.843 




3 


.981 


.753 


.145 


1 1 


.044 


.999 


1 1 


.277 


.986 



60 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 
F X K 



44 



7 


.962 


.790 


15 


.027 


.999 


m 


.05B 


.998 


13 


.114 


.996 



,200 10 .447 .969 
9 .651 .937 
8 .344 .879 



,210 



12 .208 .990 

1 1 .348 .979 

10 .532 .958 

9 .735 .917 

8 .899 .849 

7 .980 .755 

,220 15 .040 .999 



.270 12 .634 .938 
1 1 .803 .894 
10 .924 ,832 



,280 



.290 



9 


.982 


.75tj 


18 


.038 


.999 


17 


.075 


.997 


16 


.138 


.994 


15 


.233 


.986 


14 


.366 


.976 


13 


.531 


.95b 


12 


.706 


.923 


1 1 


.857 


.372 


10 


.952 


.SOo 


19 


.026 


.999 



.330 11 .934 .756 

.340 21 .034 .999 

20 .066 .998 



.360 



19 


.1 19 


.995 


18 


.201 


.990 


17 


.315 


.961 


16 


.459 


.965 



15 .619 .941 

14 .77^ .905 

13 .391 .857 

12 .9d1 .799 

22 .032 .999 

21 .062 .998 

20 .113 .995 



.440 19 



.460 



19 


.64? 


.938 


18 


.777 


.907 


17 


.83? 


.868 


16 


.949 


.823 


15 


.983 


.774 


27 


.021 


.999 


25 


.081^ 


.997 


24 


.1 5Q 


.994 


^3 


.22=^ 


.988 


22 


.353 


.979 


21 


.473 


.964 


20 


.61 « 


.943 


19 


.754 


.914 


18 


.86^ 


.878 



.230 



.240 



.250 



,260 



,270 



14 


.082 


.997 


13 


.154 


.994 


12 


.266 


.986 


1 1 


.425 


.971 


10 


.613 


.943 


9 


.807 


.893 


8 


.939 


.817 


16 


.027 


.999 


15 


.057 


.998 


14 


.1 12 


.996 


13 


.201 


.991 


12 


.332 


.980 


1 1 


.505 


.961 


10 


.699 


.925 


9 


.867 


.867 


3 


.965 


.736 


16 


.040 


.999 


15 


.080 


.997 


14 


.149 


.994 


13 


.255 


.987 


12 


.404 


.973 


1 1 


.587 


.948 


10 


.772 


.905 


9 


.913 


.839 


8 


.981 


.755 


17 


.027 


.999 


16 


.056 


.998 


15 


.109 


.996 


14 


.193 


.991 


13 


.317 


.932 


1? 


.480 


.964 


1 1 


.665 


.932 


10 


.835 


.832 


9 


.946 


.81 1 


17 


.039 


.999 


16 


.078 


.997 


15 


.143 


.994 


14 


.244 


.987 


13 


.385 


.975 


12 


.553 


.952 


1 1 


.733 


.914 


10 


.885 


.857 


9 


.968 


.783 


18 


.027 


.999 


17 


.055 


.998 


16 


.105 


.996 


15 


.185 


.991 


14 


.302 


.933 



.300 



,310 



.320 



.330 



13 .457 .966 



13 .053 .998 
17 .101 .996 
16 .177 .992 
15 .288 .984 

14 .435 .969 
13 .605 .944 
12 .772 .905 



11 .900 .849 

10 .971 ,781 

19 .037 .999 

13 .072 .997 

17 .132 .994 

16 .223 .989 

15 .349 .97fa 



14 .506 .959 

13 .676 .930 

12 .828 .885 

11 .933 .826 

10 .983 .756 

20 .025 .999 

19 .051 .996 



18 .096 .996 

17 .169 .992 

16 .274 .985 

15 .414 .971 

14 .577 .948 

13 .741 .913 

12 .875 .864 



11 .957 .302 

20 .035 .999 

19 .059 .997 

13 .126 .995 

17 .212 .989 

16 .332 .979 

15 .482 .963 



14 .647 .936 

13 .800 .396 

12 .913 .642 

11 .973 .779 

21 .024 .999 

20 .049 .998 

19 .092 .996 



13 .160 .993 
17 .261 .985 
16 .393 .973 
15 .551 .953 

14 .712 .921 
13 .350 .877 
12 .941 .820 



,380 



,"00 



,420 



19 


.191 


.990 


17 


.957 


.835 


IS 


.299 


.982 


16 


.976 


.789 


17 


.437 


.958 .48u 23 


.01° 


.999 


16 


.592 


.946 


26 


.0711 


.997 


15 


.745 


.913 


25 


.129 


.994 


14 


.8o9 


.869 


24 


.21 1 


.989 


13 


.948 


.816 


23 


.320 


.980 


12 


.965 


.756 


22 


.45? 


.967 


23 


.030 


.999 


21 


.594 


.947 


22 


.058 


.998 


20 


.751 


.920 


21 


.106 


.996 


19 


.645 


.887 


20 


.160 


.991 


13 


.924 


.847 


19 


.284 


.983 


17 


.970 


.803 


18 


.416 


.970 .500 23 


.055 


.999 



17 .5o7 .950 

16 .718 .920 

15 .346 .830 

14 .933 .831 

13 .973 .776 

24 .028 .999 

23 .054 .998 



22 .100 .996 

21 .170 .992 

20 .269 .985 

19 .396 .973 

18 .542 .954 

17 .692 .927 

16 .823 .890 



15 


.917 


.845 


14 


.970 


.793 


25 


.025 


.999 


24 


.051 


.998 


23 


.093 


.996 


22 


.159 


.992 


21 


.254 


.986 


20 


.376 


.975 


19 


.519 


.958 


18 


.667 


.933 


17 


.800 


.899 


16 


.900 


.857 


15 


.960 


.809 


14 


.988 


.757 



.440 26 .023 .999 
25 .047 .998 
24 .037 .996 
23 .149 .993 
22 .239 .987 
21 .357 .977 
20 .496 .961 



.520 



27 .067 ,997 

26 .120 .995 

25 .197 .990 

24 .30? .982 

.450 .969 

.571 .951 



23 

22 



21 .709 .926 



20 .825 .695 

19 .911 .857 

18 .95? .615 

17 .987 .772 

29 .051 .999 

23 .061 ,998 

27 ,^^r^ ,995 



26 .184 ,991 

25 .285 .984 

24 .409 .972 

23 .543 .955 

22 .685 .932 

21 .80'' .902 

20 .697 .867 



19 .953 .628 

18 .983 .786 

.540 30 .027 .999 

29 .054 .998 

28 .100 .996 

27 .17n ,992 

26 .267 .985 



25 .36Q .974 

24 .526 .959 

23 .664 .937 

22 .737 .909 

21 .86? .676 

20 .944 .839 

19 .978 .799 



61 



FINITE QUEUING TABLES 



POPULATICiM 44 



46 



,560 



.580 



.600 



.650 



.700 



.750 



31 


.023 


.999 


.750 


35 


.226 


.990 


.013 


1 


.576 


.984 


.044 


n 


.553 


.904 


30 


.048 


.998 




34 


.356 


.981 


.014 


2 


.149 


.999 


.046 


5 


.061 


.999 


29 


.091 


.996 




33 


.504 


.968 




1 


.618 


.979 




4 


.181 


.996 


28 


.157 


.993 




^2 


.651 


.951 


.015 


2 


.168 


.998 




3 


.45? 


.982 


27 


.250 


.986 




31 


.778 


.929 




1 


.659 


.974 




2 


.886 


.885 


26 


.368 


.977 




30 


.874 


.904 


.016 


2 


.188 


.998 


.048 


5 


.07? 


.999 


25 


.503 


.962 




29 


.937 


.877 




1 


.698 


.968 




4 


.204 


.995 


24 


.642 


.942 




?8 


.972 


.848 


.017 


2 


.208 


.997 




3 


.495 


.978 


23 


.768 


.916 




27 


.989 


.816 




1 


.737 


.961 




2 


.914 


.864 


22 


.868 


.884 


.800 


39 


.051 


.996 


.018 


2 


.230 


.997 


.050 


5 


.08^ 


.999 


21 


.935 


.849 




38 


.117 


.996 




1 


.774 


.95? 




4 


.22« 


.994 


20 


.973 


.810 




37 


.222 


.991 


.01 9 


3 


.059 


.999 




3 


.551 


.974 


32 


.020 


.999 




36 


.363 


.982 




2 


.252 


.996 




2 


.957 


.841 


30 


.082 


.997 




35 


.522 


.969 




1 


.808 


.942 


.052 


5 


.09'^ 


.998 


29 


.144 


.993 




34 


.676 


.952 


.020 


3 


.067 


.999 




4 


.253 


.993 


28 


.233 


.988 




33 


.303 


.930 




2 


.274 


.995 




3 


.570 


.969 


27 


.348 


.979 




32 


.894 


.906 




1 


.841 


.929 




2 


.956 


.817 


26 


.481 


.965 




31 


.950 


.879 


.021 


3 


.076 


.999 


.054 


6 


.056 


.999 


25 


.620 


.946 




30 


.979 


.852 




2 


.297 


.994 




5 


.lOQ 


.998 


24 


.749 


.921 


.850 


41 


.034 


.999 




1 


.870 


.915 




4 


.27Q 


.99? 


23 


.852 


.892 




40 


.098 


.997 


.022 


3 


.0b5 


.999 




3 


.610 


.963 


22 


.924 


.858 




■^9 


.21 1 


.992 




2 


.321 


.993 




2 


.970 


.793 


21 


.967 


.821 




38 


.368 


.964 




1 


.397 


.898 


.056 


6 


.C43 


.999 


20 


.988 


.783 




37 


.545 


.970 


.023 


3 


.095 


.999 




5 


.12"^ 


.997 


33 


.017 


.999 




35 


.709 


.953 




2 


.345 


.992 




4 


.307 


.990 


31 


.073 


.997 




35 


.836 


.931 




1 


.9«i0 


.880 




3 


.64c« 


.956 


30 


.131 


.994 




34 


.919 


.907 


.024 


3 


.106 


.999 




2 


.980 


.769 


29 


.216 


.989 




33 


.966 


.882 




2 


.370 


.991 


.058 


6 


.049 


.999 


28 


.328 


.981 




32 


.987 


.855 




1 


.939 


.859 




5 


.1 5R 


.997 


27 


.459 


.968 


.900 


42 


.062 


.998 


.025 


3 


.1 17 


.999 




4 


.356 


.988 


26 


.599 


.950 




41 


.134 


.994 




2 


.395 


.990 




3 


.686 


.949 


25 


.729 


.927 




40 


.370 


.986 




1 


.955 


.838 




2 


.987 


.745 


24 


.837 


.899 




39 


.578 


.972 


.026 


3 


.128 


.998 


.060 


6 


.057 


.999 


23 


.914 


.867 




38 


.758 


.954 




2 


.420 


.968 




5 


.155 


.996 


22 


.961 


.832 




37 


.881 


.932 




1 


.968 


.815 




4 


.365 


.986 


21 


.985 


.795 




36 


.950 


.906 


.028 


3 


.153 


.998 




3 


.723 


.940 


34 


.035 


.999 




35 


.982 


.884 




2 


.472 


.984 


.062 


6 


.C6S 


.999 


33 


.072 


.997 


.950 


43 


.110 


.996 




1 


.965 


.768 




5 


.17^ 


.996 


32 


.133 


.994 




42 


.361 


.989 


.030 


4 


.050 


.999 




4 


.396 


.984 


31 


.222 


.989 




41 


.640 


.975 




3 


.180 


.997 




3 


.750 


.930 


30 


.338 


.980 




40 


.840 


.955 




2 


.524 


.980 


.064 


6 


.07S 


.999 


29 


.473 


.968 




39 


.943 


.932 


.032 


4 


.061 


.999 




5 


.191 


.995 


28 


.614 


.950 




38 


.984 


.909 




3 


.208 


.996 




4 


.427 


.981 


27 


.743 


.928 












2 


.576 


.974 




3 


.791 


.920 


26 


.846 


.901 










.034 


4 


.074 


.999 


.066 


6 


.034 


.998 


25 


.919 


.870 












3 


.239 


.995 




5 


.21 1 


.994 


24 


.963 


.838 












2 


.627 


.967 




4 


.45Q 


.978 


23 


.985 


.804 










.036 


4 


.088 


.999 




3 


.62 1 


.908 


36 


.032 


.999 












3 


.271 


.994 


.068 


7 


.054 


.999 


35 


.069 


.998 


POPULATION 


46 




2 


.678 


.958 




6 


.09-^ 


.998 


34 


.132 


.995 










.038 


4 


.104 


.996 




5 


.255 


.993 


33 


.226 


.989 


.004 


1 


.180 


.999 




3 


.305 


.992 




4 


.491 


.975 


32 


.348 


.981 


.006 


1 


.269 


.998 




2 


.726 


.948 




3 


.849 


.895 


31 


.488 


.968 


.007 


1 


.314 


.997 


.040 


4 


.121 


.996 


.070 


7 


.059 


.999 


30 


.631 


.950 


.OOS 


1 


.358 


.996 




3 


.340 


.990 




6 


.107 


.998 


29 


.759 


.928 


.009 


1 


.403 


.994 




2 


.772 


.935 




5 


.253 


.992 


28 


.859 


.903 


.010 


2 


.081 


.999 


.042 


5 


.044 


.999 




4 


.52^ 


.971 


27 


.927 


.874 




1 


.447 


.992 




4 


.140 


.997 




3 


.67'=^ 


.881 


25 


.967 


.843 


.01 1 


2 


.097 


.999 




3 


.377 


.988 


.075 


7 


.055 


.990 


25 


.987 


.81 1 




1 


.490 


.990 




2 


.814 


.921 




6 


.1 59 


.997 


38 


.026 


.999 


.012 


2 


.113 


.999 


.044 


5 


.052 


.999 




5 


.31? 


.988 


37 


.063 


.998 




1 


.533 


.987 




4 


.159 


.997 




4 


.604 


.959 


36 


.128 


.995 


.013 


2 


.130 


.999 




3 


.414 


.965 




3 


.926 


.344 



62 



FINITE QUEUING TABLES 

X M D F X 
.080 



.085 



.090 



.095 



.100 



.105 



.1 10 



.115 



120 



125 



,130 



POPULATION 
F X M 



46 



U6 



7 


.074 


.998 


.130 


6 


.737 


.923 .1 


180 12 


.1 12 


.996 .250 12 


.574 


.951 


6 


.177 


.995 




5 


.939 


.822 


1 1 


.208 


.991 


1 1 


.75^ 


.912 


5 


.375 


.984 


.135 


1 1 


.037 


.999 


10 


.354 


.980 


10 


.695 


.854 


4 


.683 


.944 




10 


.084 


.998 


9 


.550 


.957 


9 


.97^ 


.779 


3 


.960 


.803 




9 


.173 


.994 


8 


.764 


.912 .260 18 


.050 


.999 


8 


.038 


.999 




8 


.322 


.985 


7 


.926 


.832 


17 


.061 


.998 


7 


.097 


.998 




7 


.539 


.962 .190 14 


.039 


.999 


16 


.114 


.996 


6 


.220 


.993 




6 


.788 


.907 


13 


.081 


.997 


15 


.19« 


.991 


5 


.442 


.977 




5 


.960 


.797 


12 


.155 


.994 


14 


.3iq 


.982 


4 


.756 


.925 


.140 


1 1 


.048 


.999 


1 1 


.272 


.987 


13 


.476 


.965 


3 


.980 


.762 




10 


.103 


.997 


10 


.440 


.971 


12 


.65^ 


.936 


8 


.051 


.999 




9 


.205 


.992 


9 


.644 


.940 


1 1 


.81 8 


.891 


7 


.124 


.997 




8 


.368 


.980 


8 


.840 


.883 


10 


.95^ 


.828 


6 


.268 


.990 




7 


.595 


.95i 


7 


.961 


.795 


9 


.985 


.751 


5 


.51 1 


.970 




6 


.834 


.889 .?00 15 


.027 


.999 .270 19 


.021 


.999 


4 


.821 


.902 




5 


.974 


.772 


14 


.058 


.998 


17 


.084 


.997 


8 


.067 


.999 


.145 


12 


.026 


.999 


1 3 


.114 


.996 


16 


.150 


.994 


7 


.155 


.995 




1 1 


.059 


.996 


12 


.207 


.991 


15 


.25*^ 


.987 


6 


.320 


.987 




10 


.125 


.996 


1 1 


.346 


.980 


14 


.38-' 


.975 


5 


.581 


.959 




9 


.240 


.990 


10 


.530 


.959 


13 


.554 


.954 


4 


.875 


.875 




8 


.417 


.976 


9 


.733 


.919 


12 


.727 


.919 


9 


.035 


.999 




7 


.650 


.942 


8 


.899 


.852 


1 1 


.87? 


.868 


8 


.086 


.998 




6 


.873 


.870 


7 


.981 


.758 


10 


.959 


.800 


7 


.191 


.994 




5 


.954 


.747 .210 15 


.041 


.999 .280 19 


.031 


.999 


6 


.376 


.982 


.150 


12 


.033 


.999 


14 


.083 


.997 


18 


.061 


.998 


5 


.650 


.947 




n 


.074 


.998 


13 


.155 


.994 


17 


.11? 


.996 


4 


.917 


.846 




10 


.150 


.995 


12 


.268 


.987 


16 


.194 


.991 


9 


.047 


.999 




9 


.278 


.987 


1 1 


.426 


.972 


15 


.310 


.982 


8 


.109 


.997 




8 


.468 


.970 


10 


.619 


.944 


14 


.460 


.967 


7 


.231 


.992 




7 


.703 


.930 


9 


.809 


.895 


13 


.630 


.940 


6 


.436 


.976 




6 


.906 


.849 


8 


.941 


.819 


12 


.793 


.900 


5 


.715 


.932 


.155 


12 


.042 


.999 .220 16 


.029 


.999 


1 1 


.91 4 


.843 


4 


.948 


.815 




1 1 


.090 


.997 


15 


.060 


.998 


10 


.976 


.774 


9 


.060 


.999 




10 


.177 


.993 


14 


.115 


.996 .290 20 


.021 


.999 


8 


.136 


.996 




9 


.318 


.984 


13 


.205 


.991 


18 


.083 


.997 


7 


.275 


.989 




8 


.520 


.963 


12 


.337 


.981 


17 


.147 


.994 


6 


.497 


.969 




7 


.752 


.917 


1 1 


.51 1 


.961 


16 


.244 


.987 


5 


.776 


.914 




6 


.932 


.826 


10 


.704 


.926 


15 


.375 


.976 


4 


.969 


.783 


.160 


13 


.023 


4999 


9 


.872 


.868 


14 


.554 


.956 


10 


.032 


.999 




1 1 


.108 


.997 


8 


.967 


.786 


13 


.703 


.925 


9 


.077 


.998 




10 


.207 


.992 .230 16 


.042 


.999 


12 


.8UO 


.679 


8 


.166 


.995 




9 


.362 


.980 


15 


.084 


.997 


1 1 


.944 


.818 


7 


.323 


.985 




3 


.571 


.955 


14 


.154 


.994 


10 


.987 


.743 


6 


.559 


.960 




7 


.797 


.902 


13 


.262 


.987 .300 20 


.050 


.999 


5 


.829 


.894 




6 


.952 


.806 


12 


.413 


.973 


19 


.060 


.998 


4 


.982 


.753 


.165 


13 


.029 


.999 


1 1 


.596 


.948 


18 


.110 


.996 


10 


.042 


.999 




12 


.064 


.998 


10 


.780 


.904 


17 


.18Q 


.991 


9 


.096 


.997 




1 1 


.129 


.996 


9 


.918 


.839 


16 


.300 


.983 


8 


.200 


.993 




10 


.240 


.989 


8 


.983 


.754 


15 


.444 


.968 


7 


.373 


.981 




9 


.407 


.976 .240 17 


.030 


.999 


14 


.609 


.944 


6 


.621 


.950 




8 


.622 


.946 


16 


.061 


.998 


13 


.769 


.907 


5 


.674 


.872 




7 


.838 


.886 


15 


.1 15 


.996 


12 


.89" 


.856 


10 


.054 


.999 




6 


.967 


.785 


14 


.202 


.991 


1 1 


.966 


.794 


9 


.119 


.996 


.170 


13 


.036 


.999 


13 


.328 


.981 .310 21 


.021 


.999 


8 


.237 


.991 




12 


.078 


.996 


12 


.493 


.963 


19 


.081 


.997 


7 


.427 


.976 




1 1 


.153 


.994 


1 1 


.678 


.931 


18 


. 144 


.994 


6 


.681 


.938 




10 


.276 


.987 


10 


.845 


.880 


17 


.257 


.988 


5 


.91 1 


.848 




9 


.454 


.970 


9 


.951 


.809 


16 


.363 


.977 


1 1 


.029 


.999 




8 


.672 


.936 .250 18 


.020 


.999 


15 


.516 


.959 


10 


.068 


.998 




7 


.873 


.869 


16 


.084 


.997 


14 


.680 


.930 


9 


.144 


.995 




6 


.978 


.764 


15 


.153 


.994 


13 


.826 


.888 


8 


.278 


.988 


.180 


14 


.025 


.999 


14 


.257 


.987 


12 


.929 


.834 


7 


.482 


.969 




13 


.055 


.998 


13 


.400 


.974 


11 


.980 


.770 



63 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 46 - H6 
F X M D F 



,320 21 .030 .999 

20 .059 .998 

19 .108 .996 

18 .184 .991 

17 .291 .983 

16 .429 .970 

15 .588 .948 



.400 16 .397 .860 

15 .959 .812 

14 .987 .760 

.420 26 .025 .999 

25 .049 .998 

24 .090 .996 

23 .153 .993 



.520 31 .017 .999 



.650 35 .048 .998 



29 


.067 


.997 


34 


.093 


.996 


28 


.1 18 


.995 


33 


.163 


.993 


27 


.194 


.990 


32 


.260 


.987 


26 


.295 


.983 


31 


.381 


.977 


25 


.418 


.972 


30 


.516 


.964 



24 .555 .955 



29 .652 .946 



.330 



,340 



14 


.746 


.914 


22 


.243 


.987 


23 


.689 


.933 


28 


.773 


.923 


13 


.874 


.868 


21 


.360 


.977 


22 


.807 


.904 


27 


.867 


.896 


12 


.954 


.81 1 


20 


.497 


.961 


21 


.895 


.871 


26 


.951 


.867 


1 1 


.988 


.746 


19 


.643 


.939 


20 


.951 


.833 


25 


.969 


.835 


22 


.021 


.999 


18 


.777 


.908 


19 


.981 


.793 


24 


.988 


.802 


20 


.080 


.997 


17 


.882 


.869 .540 31 


.032 


.999 .700 38 


.021 


.999 


19 


.140 


.994 


16 


.949 


.824 


30 


.062 


.998 


37 


.04q 


.998 


18 


.229 


.988 


15 


.983 


.775 


29 


.111 


.995 


36 


.097 


.996 


17 


.351 


.978 .440 27 


.024 


.999 


23 


.184 


.991 


35 


.17? 


.993 


16 


.499 


.961 


26 


.047 


.996 


27 


.282 


.984 


34 


.277 


.986 


15 


.658 


.935 


25 


.086 


.997 


26 


.403 


.973 


33 


.405 


.976 


14 


.804 


.897 


24 


.147 


.993 


25 


.538 


.958 


32 


.546 


.962 


13 


.912 


.847 


23 


.233 


.988 


24 


.673 


.937 


31 


.68? 


.944 


12 


.971 


.788 


22 


.347 


.976 


23 


.792 


.910 


30 


.798 


.922 


22 


.030 


.999 


21 


.481 


.964 


22 


.884 


.878 


29 


.885 


.896 


21 


.058 


.998 


20 


.624 


.942 


21 


.944 


.842 


28 


.94? 


.867 


20 


.105 


.996 


19 


.759 


.914 


20 


.977 


.804 


27 


.974 


.838 


19 


.178 


.992 


18 


.867 


.878 .=^60 32 


.029 


.999 .750 39 


.046 


.999 


18 


.281 


.984 


17 


.939 


.835 


31 


.057 


.998 


38 


.C97 


.997 


17 


.415 


.971 


16 


.977 


.789 


30 


.103 


.996 


37 


.179 


.993 


16 


.569 


.951 .460 28 


.022 


.999 


29 


.173 


.992 


36 


.29^ 


.986 



,360 



15 .724 .920 

14 .854 .878 

13 .940 .825 

12 .983 .766 

23 .029 .999 

22 .056 .998 

21 .102 .996 



20 .172 .992 

19 .272 .985 

18 .401 .973 

17 .550 .954 

16 .702 .925 

15 .8.34 .887 

14 .926 .838 



27 .044 .998 



28 .269 .985 



,4R0 



26 


.081 


.997 


25 


.140 


.994 


24 


.224 


.986 


23 


.334 


.979 


22 


.465 


.966 


21 


.606 


.946 


20 


.741 


.919 


19 


.852 


.885 


18 


.928 


.845 


17 


.972 


.802 


29 


.020 


.999 


27 


.077 


.997 


26 


.133 


.994 



,580 



27 


.368 


.975 


26 


.521 


.961 


25 


.657 


.941 


24 


.778 


.915 


23 


.873 


.885 


22 


.936 


.851 


21 


.973 


.814 


33 


.025 


.999 


32 


.052 


.998 


31 


.096 


.996 


30 


.le>3 


.993 


29 


.256 


.986 



,800 



28 .372 .977 



35 .451 .976 

34 .578 .961 

33 .714 .943 

32 .626 .920 

31 .905 .895 

30 .95a ,868 

29 .981 .840 



41 .059 .999 

40 .09? .997 

39 .18? .993 

38 .308 .986 

37 .459 .975 

36 .614 .960 

35 .75? .941 



,380 



,400 



13 


.976 


.783 


24 


.028 


.999 


23 


.054 


.998 


22 


.098 


.996 


21 


.166 


.992 


20 


.262 


.985 


19 


.387 


.974 


18 


.532 


.956 


17 


.682 


.930 


16 


.815 


.895 


15 


.912 


.850 


14 


.968 


.798 


25 


.026 


.999 


24 


.052 


.998 



,500 



?5 .?14 .969 
24 .321 .981 
23 .449 .968 
22 .589 .949 
21 .723 .924 
20 .836 .892 
19 .917 .855 



18 .965 .813 

17 .988 .769 

30 .019 .999 

28 .072 .997 

27 .126 .995 

26 .204 .990 

25 .308 .982 



27 .505 .963 

26 .640 .944 

25 .763 .920 

24 .861 .891 

23 .929 .858 

22 .969 .823 

21 .988 .787 



.600 34 .022 .999 
33 .046 .998 
32 .068 .997 
31 .152 .993 
30 .242 .988 
29 .357 .979 
28 .489 .965 



.850 



34 .858 .919 

33 .927 .895 

32 .967 .869 

31 .937 .842 

43 .027 .999 

42 .079 .998 

41 .17R .994 



40 .32? .987 

39 .49? .975 

38 .660 .960 

37 .798 .940 

36 .894 .918 

35 .95? .894 

34 .981 .869 



23 .094 .996 

22 .160 .993 

21 .253 .986 

20 .373 .976 

19 .514 .959 

18 .662 .935 

17 .796 .902 



24 .434 .970 
^3 .571 .952 
22 .706 .929 
21 .821 .899 
?0 .906 .863 
19 .958 .824 
13 .985 .782 



,650 



27 .625 .947 

26 .749 .924 

25 .850 .897 

24 .921 .865 

^3 .964 .832 

22 .986 .797 

36 .023 .999 



,900 44 .05^ .999 

43 .160 .995 

42 .354 .988 

41 .557 .976 

40 .72? .959 

39 .856 .939 

38 .956 .917 



64 



FINITE QUEUING TABLES 
X M D F X 



D 



POPULATION 46 - «8 
F X M D F 



.900 


37 


.976 


.893 


.032 


2 


.614 


.970 


.950 


45 


.099 


.993 


.034 


4 


.085 


.999 




44 


.336 


.991 




3 


.263 


.994 




43 


.613 


.977 




2 


.667 


.962 




42 


.820 


.959 


.036 


4 


.101 


.999 




41 


.933 


.938 




3 


.298 


.993 




40 


.980 


.915 




2 


.718 


.952 


POPULATION 


48 


.038 


4 


.119 


.998 












3 


.335 


.991 


.004 




.188 


.999 




2 


.767 


.939 


.005 




.235 


.998 


.040 


5 


.043 


.999 


.007 




.328 


.997 




4 


.138 


.99o 


.008 




.374 


.995 




3 


.373 


.986 


.009 




.420 


.994 




2 


.812 


.924 



.064 



.066 



.068 



.070 



.474 
.836 
.037 



.507 
.864 



.977 
.904 
.999 



.101 .998 
.243 .993 



,974 
.890 



.043 .999 

.113 .998 

.266 .992 

.542 .970 

.8a9 .876 

.049 .999 

.lid7 .997 



.110 
.115 



,120 



.125 



4 .984 .754 
10 .043 .999 

9 .C98 .997 

8 .20^ .993 

7 .376 .981 

6 .625 .951 

5 .878 .873 



10 
9 
8 
7 
6 
5 

1 1 



.055 .999 

.121 .996 

.241 .991 

.453 .976 

.687 .938 

.916 .847 

.C50 .999 



.010 



.01 1 



.012 



,013 



.014 



.015 



.016 



.017 



.018 



.019 



.020 



.021 



.022 



,023 



,024 



,025 



,026 



,028 



,030 



.032 



2 .088 .999 



1 


.466 


.992 


2 


.105 


.999 


1 


.512 


.989 


2 


.122 


.999 


1 


.556 


.986 


2 


.141 


.999 


1 


.601 


.982 


2 


.160 


.998 


1 


.644 


.977 


2 


.181 


.998 


1 


.686 


.972 


2 


.202 


.997 


1 


.727 


.964 


2 


.224 


.997 


1 


.766 


.956 


2 


.247 


.996 


1 


.803 


.945 


3 


.066 


.999 


2 


.271 


.996 



1 .837 .933 



3 


.075 


.999 


2 


.295 


.995 


1 


.869 


.918 


3 


.085 


.999 


2 


.320 


.994 


1 


.897 


.902 


3 


.095 


.999 


2 


.345 


.993 


1 


.921 


.882 


3 


.106 


.999 


2 


.371 


.99 1 


1 


.941 


.861 


3 


.1 18 


.999 


2 


.397 


.990 


1 


.958 


.838 


3 


.130 


.998 


2 


.424 


.988 


1 


.970 


.814 


3 


.142 


.998 


2 


.450 


.987 


1 


.980 


.789 


3 


.170 


.997 


2 


.505 


.982 


4 


.058 


.999 


3 


.199 


.996 


2 


.559 


.977 


4 


.071 


.999 


3 


.230 


.995 



,042 



,044 



.046 



,048 



,050 



.052 



5 .052 .999 



,054 



.056 



.053 



.060 



,062 



.064 



4 


.159 


.997 


3 


.412 


.986 


2 


.852 


.907 


5 


.061 


.999 


4 


.181 


.996 


3 


.452 


.983 


2 


.888 


.887 


5 


.072 


.999 


4 


.205 


.995 


3 


.493 


.979 


2 


.917 


.865 


5 


.084 


.999 


4 


.230 


.994 



3 .535 .974 



2 


.941 


.841 


5 


.097 


.998 


4 


.256 


.993 


3 


.576 


.969 


2 


.959 


.816 


6 


.038 


.999 


5 


.111 


.998 


4 


.284 


.992 


3 


.617 


.963 


2 


.973 


.791 


6 


.044 


.999 


5 


.126 


.997 


4 


.313 


.990 



3 .658 .956 



2 


.983 


.765 


6 


.052 


.999 


5 


.143 


.997 


4 


.344 


.98S 


3 


.697 


.948 


2 


.989 


.740 


6 


.060 


.999 


5 


.161 


.996 


4 


.375 


.986 


3 


.735 


.939 


6 


.069 


.999 


5 


.179 


.996 


4 


.407 


.984 


3 


.771 


.926 


6 


.079 


.999 


5 


.199 


.995 


4 


.440 


.981 


3 


.805 


.917 


6 


.089 


.998 


5 


.220 


.994 



,075 



,080 



,085 



.090 



.09E 



100 



i105 



.110 



5 .290 .990 

4 .576 .96"= 

3 .911 .860 
7 .067 .999 
a .164 .996 

5 .354 .986 

4 .660 .950 



3 .952 .818 

8 .035 .999 

.090 .998 

.208 .994 

.423 .980 

.739 .932 

.977 .775 



.048 .999 



.1 17 
.236 

.496 
.809 
.990 
.064 



.997 
,991 
.972 
,909 
,733 
,999 



7 .149 .996 

6 .310 .988 
5 .569 .963 
4 .868 .882 
9 .034 .999 

8 .084 .998 

7 .186 .994 



6 .369 .983 



5 


.642 


.950 


4 


.914 


.852 


9 


.046 


.999 


8 


.107 


.997 


7 


.227 


.992 


6 


.431 


.978 


5 


.71 1 


.935 


4 


.948 


.820 


9 


.060 


.999 


8 


.135 


.996 


7 


.273 


.989 


6 


.495 


.97C 


5 


.775 


.917 


4 


.970 


.787 


10 


.033 


.999 


9 


.077 


.998 


8 


.166 


.995 


7 


.323 


.986 


6 


.560 


.962 


5 


.831 


.896 



J 30 



.135 



i145 



150 



il55 



10 
9 
8 
7 
6 
5 

1 1 



.070 .998 

.140 .995 

.284 .988 

.491 .969 

.746 .923 

.944 .821 

.040 .999 



10 .088 .998 
9 .179 .994 
8 .351 .984 
7 .550 .961 
6 .799 .906 
5 .96^ .794 

11 .051 .999 



10 .109 .997 

9 .213 .992 

8 .380 .980 

7 .c09 .952 

6 .846 .887 

5 .97CI .768 



i140 12 .028 .999 



1 1 


.064 


.998 


10 


.1 5P 


.996 


9 


.250 


.990 


8 


.455 


.975 


7 


.666 


.940 


6 


.885 


.866 


5 


.987 


.742 


12 


.0 56 


.999 


1 1 


.07° 


.998 


10 


.159 


.995 


9 


.291 


.987 


8 


.485 


.969 


7 


.720 


.928 


6 


.917 


.844 


12 


.C46 


.999 


1 1 


.097 


.997 


10 


.188 


.993 


9 


.355 


.983 


8 


.540 


.961 


7 


.771 


.913 


6 


.94? 


.822 


13 


.026 


.999 


1 1 


.117 


.996 


10 


.22 1 


.991 


9 


.381 


.979 


8 


.594 


.953 


7 


.816 


.897 


6 


.961 


.799 



65 



FINITE QUEUING TABLES 

X M F X 

.160 13 .033 .999 .220 

1? .071 .998 

11 .141 .995 

10 .257 .989 

9 .429 .974 .230 

8 .647 .943 

7 .856 .880 



165 



170 



180 



190 



,200 



,210 



.220 



6 


.974 


.777 


13 


.041 


.999 


12 


.086 


.997 


1 1 


.166 


.994 


10 


.295 


.986 


9 


.479 


.968 


8 


.698 


.931 


7 


.890 


.862 


6 


.983 


.755 


14 


.023 


.999 


12 


.104 


.997 


1 1 


.195 


.992 


10 


.336 


.982 


9 


.529 


.962 


8 


.746 


.919 


7 


.918 


.842 


6 


.990 


.734 


14 


.037 


.999 


13 


.076 


.998 


12 


.147 


.995 


1 1 


.261 


.988 


10 


.425 


.974 


9 


.529 


.945 


8 


.830 


.890 


7 


.958 


.803 


15 


.026 


.999 


1 4 


.056 


.998 


13 


.1 10 


.996 


12 


.200 


.992 


1 1 


.336 


.982 


10 


.518 


.962 


9 


.723 


.924 


8 


.894 


.858 


7 


.980 


.765 


15 


.040 


.999 


1 4 


.081 


.997 


13 


.152 


.994 


12 


.263 


.987 


1 1 


.420 


.974 


10 


.613 


.947 


9 


.805 


.899 


8 


.939 


.824 


16 


.029 


.999 


15 


.060 


.998 


14 


.1 14 


.996 


1 3 


.203 


.991 


12 


.335 


.981 


1 1 


.508 


.963 


10 


.702 


.928 


9 


.871 


.871 


8 


.968 


.789 


16 


.043 


.999 


15 


.085 


.997 


14 


.156 


.994 


13 


.264 


.987 


12 


.414 


.974 



.240 



.250 



.260 

















POPULATION 


48 - 


- 48 


M 


D 


F 


X 


M 


D 


F 


X 


i-i 


D 


F 


1 1 


.597 


.949 


.?90 


19 


.068 


.998 


.360 


24 


.02'^ 


.999 


10 


.782 


.906 




18 


.122 


.995 




23 


.051 


.998 


9 


.920 


.840 




17 


.205 


.990 




22 


.09? 


.996 


3 


.984 


.756 




16 


.321 


.981 




21 


.156 


.993 


17 


.031 


.999 




15 


.469 


.966 




20 


.247 


.987 


16 


.063 


.99B 




14 


.633 


.941 




19 


.36-7 


.977 


15 


.118 


.996 




13 


.790 


.903 




18 


.509 


.960 


14 


.205 


.991 




12 


.908 


.851 




17 


.660 


.936 


13 


.333 


.981 




1 1 


.972 


.787 




16 


.797 


.902 


12 


.498 


.963 


.300 


21 


.025 


.999 




15 


.901 


.858 


1 1 


.683 


.932 




20 


.050 


.998 




14 


.963 


.807 


10 


.849 


.881 




19 


.092 


.997 




13 


.990 


.752 


9 


.954 


.809 




18 


.160 


.993 


.380 


25 


.02'^ 


.999 


18 


.022 


.999 




17 


.258 


.986 




24 


.(j50 


.998 



16 .088 .997 

15 .158 .994 

14 .264 .987 

13 .408 .974 

12 .583 .951 

11 .761 .912 

10 .901 .854 



9 


.975 


.778 


18 


.033 


.999 


17 


.065 


.998 


16 


.120 


.995 


15 


.206 


.991 


14 


.329 


.981 


13 


.488 


.964 


12 


.666 


.935 


1 1 


.328 


.889 


10 


.939 


.825 


9 


.987 


.749 


19 


.023 


.999 


17 


.090 


.997 


16 


.159 


.993 


15 


.262 


.987 


14 


.402 


.974 


13 


.569 


.952 


12 


.742 


.917 


1 1 


.882 


.865 


10 


.964 


.797 



.270 19 .034 .999 



18 .067 .996 

17 .122 .995 

16 .206 .990 

15 .326 .981 

14 .478 .965 

13 .649 .938 

12 .309 .897 



11 .923 .839 

10 .980 .770 

.280 20 .024 .999 

19 .049 .996 

18 .092 .997 

17 .160 .993 

16 .260 .986 



15 .395 .975 

14 .556 .954 

13 .723 .922 

12 .3'r;4 .874 

11 .952 .813 

10 .989 .743 

,2<>0 20 .035 .999 



16 .368 .975 

15 .544 .956 

14 .706 .926 

13 .846 .883 

12 .940 .827 

1 1 .984 .762 

."^10 21 .036 .999 



20 .069 .998 
19 .123 .995 
18 .204 .990 
17 .317 .982 
16 .459 .967 
15 .619 .944 
14 .772 .909 



.320 



13 


.892 


.861 


12 


.963 


.803 


22 


.026 


.999 


21 


.051 


.998 


20 


.093 


.997 


19 


.159 


.993 


18 


.255 


.987 


17 


.381 


.976 


16 


.532 


.957 


15 


.690 


.929 


14 


.829 


.890 


13 


.927 


.839 


12 


.978 


.779 



.330 22 .037 .999 



21 .069 .998 

20 .122 .995 

19 .202 .990 

18 .312 .982 

17 .450 .968 

16 .605 .946 

15 .755 .914 



14 .877 .870 

13 .953 .816 

12 .987 .757 

.340 23 .026 .999 

22 .051 .998 

21 .093 .996 

20 .158 .993 



19 .251 .987 

18 .374 .976 

17 .520 .959 

16 .675 .933 

15 .813 .896 

14 .914 .849 

13 .970 .794 



.400 



.420 



.440 



.460 



23 .091 .996 

22 .153 .993 

21 .243 .987 

20 .360 .977 

19 .49R .962 

18 .646 .939 

17 .782 .907 



16 .888 .866 

15 .954 .819 

14 .986 .767 

26 .025 .999 

25 .04Q .998 

24 .08Q .997 

23 .151 .993 



22 .258 .988 

21 .35? .978 

20 .488 .963 

19 .65? .942 

18 .768 .912 

17 .876 .874 

16 .946 .829 



15 .98? .780 

27 .025 .999 

26 .04R .998 

25 .087 .997 

24 .148 .993 

23 .253 .988 

22 .345 .979 



21 .477 .965 

20 .620 .944 

19 .754 .916 

18 .863 .880 

17 .957 .838 

16 .977 .792 

28 .024 .999 



27 .047 .998 

26 .085 .997 

25 .144 .994 

24 .228 .988 

23 .357 .980 

22 .467 .966 

21 .607 .947 



20 .741 .920 

19 .851 .886 

18 .920 .847 

17 .97? .803 

29 .023 .999 

28 .045 .998 

27 .083 .997 



66 



FINITE QUEUING TABLES 
X M D F X 



,460 



.480 



26 .lao .994 
25 .222 .939 
24 .329 .930 
23 .457 .967 
22 .595 .949 
21 .728 .924 
20 .840 .892 



19 .919 .855 

18 .966 .813 

17 .989 .769 

30 .022 .999 

28 .080 .997 

27 .136 .994 

26 .216 .989 



25 


.321 


.981 


24 


.4ii7 


.969 


23 


.583 


.951 


22 


.716 


.927 


21 


.828 


.897 


20 


.91 1 


.862 


19 


.961 


.322 


18 


.986 


.781 


500 51 


.021 


.999 


29 


.077 


.997 


28 


.131 


.994 


27 


.210 


.990 


26 


.313 


.932 


25 


.437 


.970 


24 


.572 


.953 


23 


.704 


.931 


22 


.817 


.902 


21 


.902 


.868 


20 


.955 


.831 


19 


.983 


.791 


520 3? 


.019 


.999 


30 


.073 


.997 


29 


.127 


.995 


28 


.203 


.990 


27 


.305 


.983 


26 


.427 


.97 1 


25 


.561 


.955 


24 


.692 


.934 


23 


.807 


.906 


22 


.893 


.874 


21 


.950 


.838 


20 


.980 


.800 


540 33 


.018 


.999 


31 


.070 


.997 


30 


.122 


.995 


29 


.197 


.991 


28 


.296 


.983 


27 


.417 


.973 


26 


.549 


.957 


25 


.681 


.937 


24 


.796 


.91 1 


23 


.885 


.880 


22 


.944 


.846 


21 


.977 


.809 


560 33 


.034 


.999 


32 


.066 


.998 


31 


.1 16 


.995 


30 


.189 


.991 


29 


.287 


.984 



.560 



.580 



.600 



.630 



.700 



.750 

















POPULATION 


t,8 - 


- 50 


M 





F 


X 


M 


D 


F 


X 


M 


D 


F 


28 


.407 


.974 


.750 


36 


.505 


.970 


.013 


1 


.62 = 


.980 


?7 


.539 


.959 




35 


.646 


.954 


.014 


2 


.173 


.998 


26 


.670 


.939 




34 


.770 


.934 




1 


.670 


.975 


25 


.737 


.915 




33 


.865 


.912 


.015 


2 


.195 


.993 


24 


.877 


.885 




32 


.929 


.887 




1 


.713 


.968 


23 


.938 


.852 




31 


.967 


.860 


.Olo 


2 


.217 


.997 


22 


.973 


.817 




30 


.986 


.833 




1 


.75" 


.960 


34 


.032 


.999 


.800 


43 


.029 


.999 


.017 


2 


.24 1 


.997 


33 


.062 


.99fc 




42 


.072 


.993 




1 


.79'-' 


.950 


32 


.110 


.996 




41 


.147 


.995 


.Olo 


3 


.C6U 


.999 


31 


.182 


.992 




40 


.259 


.969 




2 


.26'S 


.996 


30 


.278 


.985 




39 


.400 


.980 




1 


.851 


.938 


29 


.396 


.975 




38 


.553 


.963 


.019 


3 


.C7U 


.999 


28 


.528 


.961 




37 


.697 


.951 




2 


.291 


.995 


?7 


.659 


.942 




36 


.815 


.931 




1 


.6b4 


.923 


26 


.777 


.918 




35 


.899 


.90F 


.020 


3 


.C84 


.999 


25 


.370 


.890 




34 


.951 


.884 




2 


.316 


.994 


24 


.933 


.859 




33 


.979 


.859 




1 


.894 


.906 


23 


.970 


.825 


.850 


44 


.064 


.998 


.021 


3 


.C94 


.999 


22 


.989 


.790 




43 


.149 


.995 




2 


.343 


.993 


35 


.029 


.999 




42 


.280 


.989 




1 


.92'^ 


.886 


34 


.057 


.99b 




41 


.442 


.980 


.022 


3 


.10«^ 


.999 


33 


.104 


.996 




40 


.610 


.966 




2 


.370 


.992 


32 


.174 


.992 




39 


.756 


.943 




1 


.94:) 


.864 


31 


.269 


.986 




38 


.865 


.928 


.023 


3 


.110 


.999 


30 


.386 


.977 




37 


.934 


.905 




2 


.39-7 


.990 


29 


.517 


.963 




36 


.972 


.882 




1 


.959 


.840 


?8 


.649 


.945 




35 


.989 


.858 


.024 


3 


.1 50 


.998 


27 


.768 


.922 


.900 


46 


.044 


.999 




2 


.425 


.989 


26 


.862 


.395 




45 


.139 


.996 




1 


.97? 


.815 


25 


.928 


.864 




44 


.300 


.990 


.025 


3 


.143 


.998 


24 


.967 


.832 




43 


.497 


.979 




2 


.45"' 


.987 


:>3 


.987 


.798 




42 


.685 


.964 




1 


.98? 


.789 


37 


.032 


.999 




41 


.329 


.946 


.026 


3 


.15-' 


.998 


36 


.064 


.998 




40 


.9^0 


.925 




2 


.481 


.985 


35 


.1 17 


.995 




39 


.968 


.902 




1 


.983 


.763 


34 


.195 


.991 




38 


.989 


.879 


.028 


4 


.053 


.999 


33 


.299 


.984 


.950 


47 


.090 


.998 




3 


.187 


.997 


32 


.424 


.974 




46 


.313 


.992 




2 


.55s 


.980 


31 


.558 


.960 




45 


.565 


.979 


.030 


4 


.066 


.999 


30 


.668 


.941 




44 


.800 


.962 




3 


.219 


.996 


29 


.300 


.918 




43 


.922 


.942 




2 


.595 


.974 


23 


.885 


.892 




42 


.975 


.921 


.032 


4 


.080 


.999 


27 


.941 


.863 












3 


.253 


.995 


26 


.974 


.832 












2 


.651 


.966 


25 


.990 


.801 










.034 


4 


.097 


.999 


39 


.033 


.999 












3 


.289 


.993 


3f3 


.070 


.998 












2 


.706 


.956 


37 


.129 


.995 










.03b 


4 


.11"=; 


.998 


36 


.217 


.990 


POPUL 


ATION 


50 




3 


.32^ 


.991 


35 


.330 


.983 












2 


.75-7 


.944 


34 


.463 


.972 


.003 




.147 


.999 


.038 


4 


.1 54 


.998 


33 


.600 


.957 


.005 




.245 


.998 




3 


.366 


.989 


32 


.727 


.936 


.007 




.342 


.996 




2 


.806 


.929 


31 


.832 


.915 


.008 




.390 


.995 


.040 


5 


.051 


.999 


30 


.907 


.889 


.no9 




.438 


.993 




4 


.156 


.997 



29 .954 .861 



23 


.930 


.833 


41 


.033 


.999 


40 


.073 


.998 


■^9 


.140 


.995 


38 


.238 


.990 


37 


.363 


.98^; 



.010 



,01 1 



.012 



.013 



2 .095 .999 



1 


.486 


.991 


2 


.113 


.999 


1 


.533 


.988 


2 


.132 


.999 


1 


.579 


.965 



2 .152 .999 



.042 



.044 



3 .407 .987 

2 .840 .911 
5 .060 .999 

4 .179 .996 

3 .44Q .983 
2 .886 .891 

5 .07? .999 



67 



FINITE QUEUING TABLES 



POPULATION 50 - 50 



.044 



.046 



a 


.203 


.996 


.075 


5 


.399 


.983 


.125 


6 


.805 


.906 


.170 13 


.070 


.998 


3 


.492 


.980 




4 


.713 


.940 




5 


.968 


.793 


12 


.1 56 


.995 


? 


.918 


.868 




3 


.971 


.792 


.130 


1 1 


.053 


.999 


1 1 


.244 


.989 


5 


.084 


.999 


.080 


8 


.044 


.999 




10 


.1 12 


.997 


10 


.40? 


.977 


4 


.230 


.995 




7 


.109 


.996 




9 


.218 


.992 


9 


.60S 


.951 


3 


.535 


.975 




6 


.241 


.992 




8 


.387 


.981^ 


8 


.81? 


.900 


? 


.943 


.843 




5 


.474 


.976 




7 


.618 


.951 


7 


.951 


.815 



,048 



,050 



5 .098 .998 



4 .791 .918 



6 .853 .886 



,052 



.054 



.056 



.058 



.060 



.062 



,064 



,066 



.068 



.070 



.075 



4 


.258 


.993 


3 


.578 


.970 


2 


.962 


.817 


6 


.038 


.999 


5 


.112 


.998 


4 


.287 


.992 


3 


.621 


.964 


2 


.975 


.790 


6 


.045 


.999 


5 


.129 


.998 


4 


.317 


.990 


3 


.664 


.956 


2 


.985 


.764 


6 


.053 


.999 


5 


.146 


.997 


4 


.349 


.988 


3 


.705 


.948 


6 


.062 


.999 


5 


.165 


.996 


4 


.382 


.986 


3 


.744 


.938 


6 


.071 


.999 


5 


.185 


.996 


4 


.416 


.983 


3 


.782 


.927 


6 


.082 


.999 


5 


.206 


.995 


4 


.450 


.980 


3 


.816 


.915 


6 


.093 


.998 


5 


.228 


.994 


4 


.486 


.977 


3 


.848 


.902 


7 


.039 


.999 


6 


.106 


.998 


5 


.252 


.993 


4 


.521 


.973 


3 


.876 


.887 


7 


.045 


.999 


6 


.1 19 


.997 


5 


.276 


.991 


4 


.557 


.969 


3 


.901 


.871 


7 


.052 


.999 


6 


.134 


.997 


5 


.302 


.990 


4 


.593 


.964 


3 


.923 


.854 


7 


.060 


.999 


6 


.1U9 


.996 


5 


.329 


.988 


4 


.628 


.958 


3 


.940 


.837 


7 


.082 


.998 


6 


.192 


.995 



.085 



.090 



.095 



1 100 



.105 



110 



.115 



.120 



125 



3 


.938 


.747 


a 


.060 


.999 


7 


.141 


.996 


6 


.296 


.989 


5 


.551 


.966 


4 


.356 


.892 


9 


.032 


.999 


8 


.080 


.998 


7 


.178 


.995 


6 


.356 


.985 


5 


.627 


.954 


4 


.908 


.861 


9 


.044 


.999 


8 


.103 


.997 


7 


.220 


.993 


6 


.420 


.979 


5 


.701 


.939 


4 


.945 


.827 


9 


.058 


.999 


8 


.131 


.996 


7 


.267 


.990 


6 


.437 


.972 


5 


.769 


.921 


4 


.969 


.793 


10 


.032 


.999 


9 


.076 


.998 



3 .164 ,995 



7 .319 .987 
6 .555 .963 
5 .829 .900 
4 .934 .758 

10 .043 .999 

9 .097 .998 

8 .200 .993 



7 


.375 


.982 


6 


.623 


.953 


5 


.879 


.875 


10 


.056 


.999 


9 


.122 


.997 


8 


.241 


.991 


7 


.433 


.977 


6 


.689 


.939 


5 


.918 


.849 


1 1 


.031 


.999 


10 


.072 


.998 


9 


.150 


.995 


8 


.287 


.988 



7 .494 .970 



6 


.750 


.924 


5 


.947 


.821 


1 1 


.041 


.999 


10 


.090 


.998 


9 


.182 


.994 


8 


.335 


.984 


7 


.556 


.961 



.135 



.140 



141 



150 



.155 



.160 



5 


.981 


.766 


12 


.030 


.999 


1 1 


.067 


.998 


10 


.137 


.996 


9 


.258 


.989 


8 


.442 


.975 


7 


.677 


.940 


fa 


.893 


.864 


5 


.989 


.739 


12 


.038 


.999 


1 1 


.083 


.998 


10 


.165 


.994 


9 


.301 


.986 


8 


.498 


.968 


7 


.734 


.926 


6 


.9k5 


.841 


12 


.049 


.999 


1 1 


.103 


.997 


10 


.197 


.993 


9 


.347 


.983 


8 


.555 


.960 


7 


.785 


.911 


6 


.949 


.813 


13 


.023 


.999 


12 


.062 


.993 


1 1 


.125 


.996 



10 .232 .991 



.170 



9 


.396 


.973 


3 


.61 1 


.951 


7 


.831 


.894 


6 


.967 


.794 


13 


.036 


.999 


12 


.076 


.998 


1 1 


.150 


.995 


10 


.271 


.988 


9 


.447 


.973 


8 


.666 


.940 


7 


.371 


.875 


6 


.979 


.771 


13 


.045 


.999 


12 


.094 


.997 


1 1 


.173 


.993 


10 


.312 


.985 


9 


.499 


.967 


3 


.719 


.928 


7 


.904 


.856 


6 


.9d7 


.748 


14 


.026 


.999 


12 


.1 13 


.996 


1 1 


.209 


.992 


10 


.356 


.981 


9 


.552 


.959 


3 


.767 


.915 


7 


.930 


.836 


14 


.033 


.999 



.180 15 .02U .999 

13 .103 .997 

12 .18^5 .993 

11 .320 .984 

10 .499 .966 

9 .705 .930 

8 .884 .367 



. 1 90 



.200 



.210 



.220 



.230 



.240 



7 .977 .775 

15 .05T .999 

14 .077 .993 

13 .145 .995 

12 .25? .989 

11 .406 .976 

10 .593 .951 



9 .79a .905 

8 .955 .832 

16 .028 .999 

15 .058 .998 

14 .111 .996 

13 .197 .99? 

12 .326 .983 



11 .498 .965 

10 .69^ .932 

9 .866 .876 

8 .966 .795 

16 .C43 .999 

15 .C34 .997 

14 .15' .994 



13 .259 .988 

12 .408 .975 

11 .591 .951 

10 .773 .909 

9 .919 .845 

8 .934 .760 

17 .051 .999 



16 .063 .993 

15 .117 .996 

14 .204 .991 

13 .351 .982 

12 .496 .965 

11 .681 .934 

10 .849 .884 



9 .954 .312 

18 .023 .999 

16 .089 .997 

15 .159 .994 

14 .265 .987 

13 .410 .974 

12 .585 .952 



1 1 


.76^ 


.913 


10 


.903 


.855 


9 


.97f 


.780 


13 


.054 


.999 


17 


.067 


.998 


16 


.123 


.995 


15 


.210 


.991 



68 



FINITE QUEUING TABLES 



POPULATION 50 



50 



M 







M 



D 



,240 



9 .988 .749 
,250 19 .025 .999 



m 


.334 


.981 


.300 


14 


.792 


.904 


13 


.493 


.965 




13 


.905 


.856 


12 


.671 


.936 




12 


.969 


.797 


1 1 


.833 


.890 


.310 


22 


.030 


.999 


10 


.942 


.826 




21 


.058 


.998 



20 .104 .996 
19 .175 .992 



.380 20 .467 .967 

19 .611 .946 

18 .749 .918 

17 .863 .881 

16 .939 .837 

15 .979 .788 

.400 27 .024 .999 



.480 24 .57« .953 

23 .708 .930 

22 .820 .902 

21 .904 .868 

20 .95^ .831 

19 .98"^ .791 

.500 32 .021 .999 



.260 



17 .094 .997 
16 .165 .993 
,269 .986 
•410 .974 
.578 .952 
12 .750 .917 
11 .888 .864 



15 
14 
13 



10 .967 .796 

19 .037 .999 

18 .071 .998 

17 .128 .995 

16 .215 .990 

15 .336 .981 

14 .490 .965 



.320 



18 .276 .985 

17 .407 .974 

16 .559 ,954 

15 .715 .925 

14 .848 .884 

13 .938 .832 

12 .982 .773 



23 .022 .999 

21 .080 .997 

20 .138 .994 

19 .223 .989 

18 .338 .980 

17 .479 .965 

16 .634 .942 



.420 



26 


.047 


.998 


31 


.045 


.998 


25 


.085 


.997 


30 


.081 


.997 


24 


.142 


.994 


29 


.1 57 


.994 


23 


.224 


.989 


28 


.216 


.989 


22 


.332 


.980 


27 


.310 


.982 


21 


.462 


.967 


26 


.440 


.970 


20 


.604 


.948 


25 


.579 


.954 


19 


.740 


.921 


24 


.701 


.932 


18 


.853 


.886 


23 


.81 1 


.905 


17 


.931 


.844 


22 


.898 


.873 


16 


.974 


.798 


21 


.95? 


.837 


28 


.025 


.999 


20 


.981 


.799 


27 


.047 


.998 .520 33 


.02? 


.999 


26 


.005 


.997 


31 


.080 


.997 



,270 



13 .661 .937 
12 .818 .895 
1 1 .929 .837 
10 .982 .767 
20 .027 .999 
19 .053 .998 
18 .098 .996 



.330 



15 .780 .906 
14 .894 .863 
13 .961 .809 
23 .032 .999 
22 .060 .996 
21 .107 .996 
20 .178 .992 



25 .142 .994 

24 .223 .989 

23 .330 .981 

22 .458 .968 

21 .597 .949 

20 .731 .923 

19 .844 .890 



30 .1 55 .994 

29 .213 .990 

.314 .982 

.455 .971 

26 .566 .955 

25 .695 .935 

24 .807 .908 



28 
27 



17 .169 .993 

16 .272 .986 

15 .409 .974 

14 .572 .953 

13 .737 .920 

12 .874 .872 

1 1 .958 .810 



19 .277 .985 

18 .405 .974 

17 .553 .955 

16 .705 .928 

15 .837 .889 

14 .929 ,841 

13 .977 .786 



.440 



18 .924 .851 

17 .970 .807 

29 .025 .999 

28 .047 .998 

27 .084 .997 

26 .141 .994 

25 .222 .989 



.540 



23 .69? .878 

22 .948 .d43 

21 .97Q .807 

34 .021 .999 

32 .078 .997 

31 .1 5^ .994 

30 .209 .990 



.280 21 .019 .999 

19 .075 .997 

18 .132 .995 

17 .218 .990 

16 .337 .980 

15 .487 .965 

14 .651 .939 



,340 



24 


.023 


.999 


24 


.327 


.961 


22 


.032 


.997 


23 


.454 


.968 


21 


.140 


.994 


22 


.590 


.950 


20 


.224 


,989 


21 


.723 


.926 


19 


.337 


,980 


20 


.836 


.894 


13 


.475 


,966 


19 


.917 


.857 


17 


.626 


.943 


18 


.965 


.816 



29 ,310 .983 

28 .45r .972 

27 .561 .957 

26 .689 .937 

25 .801 .911 

24 .88-7 .882 

23 .94U .849 



,290 



13 .805 .900 

12 .917 .847 

11 .976 .783 

21 .029 .999 

20 .056 .998 

19 .102 .996 

18 .173 .992 



.360 



16 .769 .912 

15 .883 .870 

14 .954 .819 

13 .987 .764 

25 .024 .999 

23 .083 .997 

22 .141 .994 



.460 



17 .988 .772 

30 .024 .999 

29 .047 .998 

28 .084 .997 

27 .140 .994 

26 .220 .989 

25 .325 .981 



.560 



22 .976 .814 

35 .020 .999 

33 .07'^ .997 

32 .129 .995 

31 .206 .990 

30 .306 .983 

29 .425 .973 



17 .275 .986 

16 .408 .974 

15 .565 .954 

14 .726 .923 

13 .861 .878 

12 .948 .822 

11 ,987 .757 



21 .225 .989 

20 .336 .980 

19 .471 .966 

18 .618 .945 

17 .759 .915 

16 .872 ,876 

15 .946 ,829 



24 .449 .969 

23 .584 .952 

22 .716 .928 

21 .828 .898 

20 .910 .863 

19 .961 .824 

18 .986 .782 



.580 



28 .555 .958 

27 .683 .938 

26 .795 .914 

25 .88? .886 

24 .940 .854 

23 .97a .820 

36 .019 .999 



,300 



22 


.021 


.999 


14 


.983 


.777 .480 31 


.024 


.999 


34 


.07-^ 


.997 


20 


.077 


.997 


.380 2b 


.024 


.999 


30 


.046 


.998 


33 


.126 


.995 


19 


.135 


.995 


2-3 


.047 


.998 


29 


.083 


.997 


32 


.201 


.991 


18 


.221 


.989 


24 


.084 


,997 


28 


.139 


.994 


31 


.301 


.984 


17 


,338 


.980 


23 


.142 


,994 


27 


.218 


.989 


30 


.420 


.974 


16 


,483 


.965 


22 


.225 


,989 


26 


.321 


.981 


29 


,550 


.959 


15 


,642 


.940 


21 


.334 


,980 


25 


,444 


.970 


28 


,677 


,940 



69 



FINITE QUEUING TABLES 



POPULATION 50 - 52 



M 



n 



,580 



.600 



27 .790 .917 

26 .877 .889 

25 .937 .859 

24 .972 .826 

23 .989 .793 

37 .018 .999 

35 .070 .998 



.800 



.850 



37 


.865 


.921 


.019 


2 


.31 1 


.995 


.050 


4 


.319 


.991 


36 


.930 


.898 




1 


.889 


.912 




3 


.666 


.957 


35 


.968 


.874 


.020 


3 


.092 


.999 




2 


.986 


.764 


34 


.987 


.850 




2 


.338 


.994 


.052 


6 


.054 


.999 


46 


.052 


.999 




1 


.917 


.89? 




5 


. 147 


.997 


45 


.125 


.996 


.021 


3 


.104 


.999 




4 


.35P 


.989 


44 


.242 


.991 




2 


.366 


.992 




3 


.700 


.949 



34 .122 .995 
33 .197 .991 



.650 



.700 



,750 



.800 



43 .394 .983 
42 .560 .971 



.022 



1 .940 .869 
3 .116 .999 



.054 



.06" 



.999 



5 .167 .996 



32 


.296 


.984 




41 


.712 


.955 




2 


.394 


.991 




4 


.386 


.986 


31 


.415 


.974 




40 


.832 


.937 




1 


.959 


.844 




3 


.750 


.939 


30 


.544 


.960 




39 


.913 


.916 


.023 


3 


.130 


.998 


.056 


6 


.07 3 


.999 


29 


.672 


.942 




38 


.960 


.893 




2 


.423 


.989 




5 


.188 


.996 


28 


.785 


.919 




37 


.984 


.870 




1 


.973 


.818 




4 


.42? 


.984 


27 


.873 


.893 


.900 


48 


.037 


.999 


.024 


3 


.143 


.998 




3 


.789 


.927 


26 


.934 


.863 




47 


.121 


.997 




2 


.452 


.987 


.058 


6 


.084 


.999 


25 


.970 


.832 




46 


.268 


.991 




1 


.983 


.791 




5 


.210 


.995 


24 


.988 


.800 




45 


.458 


.982 


.025 


3 


.158 


.998 




4 


.45B 


.980 


39 


.021 


.999 




44 


.647 


.968 




2 


.482 


.985 




3 


.82S 


.914 


37 


.083 


.997 




43 


.800 


.951 




1 


.989 


.763 


.060 


6 


.096 


.998 


36 


.144 


.994 




42 


.902 


.932 


.026 


3 


.173 


.997 




5 


.254 


.994 


35 


.229 


.989 




41 


.958 


.910 




2 


.512 


.983 




4 


.49"^ 


.977 


34 


.339 


.982 




40 


.984 


.889 


.028 


4 


.060 


.999 




3 


.857 


.900 


33 


.465 


.971 


.950 


49 


.081 


.998 




3 


.205 


.997 


.062 


7 


.04 1 


.999 


32 


.597 


.956 




48 


.291 


.993 




2 


.571 


.977 




6 


.1 10 


.998 


31 


.721 


.937 




47 


.558 


.981 


.O30 


4 


.075 


.999 




5 


.259 


.993 


30 


.824 


.914 




46 


.778 


.965 




3 


.240 


.995 




4 


.55? 


.973 


29 


.900 


.888 




45 


.909 


.946 




2 


.630 


.970 




3 


.88^- 


.884 


28 


.950 


.860 




44 


.970 


.926 


.032 


4 


.091 


.999 


.064 


7 


.04q 


.999 


27 


.978 


.830 












3 


.277 


.994 




6 


.124 


.997 


41 


.023 


.999 












2 


.688 


.961 




5 


.285 


.991 


40 


.049 


.998 










.034 


4 


.109 


.998 




4 


.569 


.968 


39 


.095 


.997 












3 


.315 


.992 




3 


.91 1 


.867 


38 


.167 


.993 












2 


.743 


.949 


.066 


7 


.C5S 


.999 


37 


.264 


.988 










.036 


4 


.129 


.998 




6 


.1 59 


.997 


36 


.385 


.979 


POPULATION 


52 




3 


.356 


.990 




5 


.31? 


.990 


35 


.519 


.967 












2 


.795 


.934 




4 


.607 


.963 


34 


.651 


.951 


.003 


1 


.153 


.999 


.038 


5 


.049 


.999 




3 


.951 


.850 


33 


.768 


.931 


.005 


1 


.255 


.996 




4 


.151 


.997 


.068 


7 


.063 


.999 


32 


.861 


.908 


.006 


1 


.305 


.997 




3 


.398 


.988 




6 


. 156 


.996 


31 


.925 


.883 


.007 


1 


.356 


.996 




2 


.842 


.917 




5 


.340 


.988 


30 


.964 


.856 


.008 


1 


.406 


.995 


.040 


5 


.059 


.999 




4 


.64-« 


.956 


29 


.985 


.828 


.009 


1 


.456 


.993 




4 


.175 


.997 




3 


.949 


.831 


43 


.023 


.999 


.010 


2 


.102 


.999 




3 


.442 


.985 


.070 


7 


.07? 


.999 


42 


.054 


.998 




1 


.505 


.990 




2 


.882 


.896 




6 


.174 


.996 


41 


.108 


.996 


.01 1 


2 


.121 


.999 


.042 


5 


.070 


.999 




5 


.369 


.986 


40 


.190 


.992 




1 


.554 


.987 




4 


.200 


.996 




4 


.679 


.950 


39 


.302 


.986 


.012 


2 


.141 


.999 




3 


.486 


.981 




3 


.96? 


.812 


38 


.435 


.976 




1 


.602 


.983 




2 


.916 


.873 


.075 


6 


.0 39 


.999 


37 


.576 


.963 


.013 


2 


.163 


.998 


.044 


5 


.083 


.999 




7 


.C9P 


.998 


36 


.708 


.946 




1 


.649 


.978 




4 


.227 


.995 




6 


.22? 


.994 


35 


.817 


.926 


.014 


2 


.185 


.998 




3 


.532 


.976 




5 


.446 


.979 


34 


.896 


.903 




1 


.695 


.972 




2 


.942 


.847 




4 


.764 


.929 


33 


.948 


.878 


.015 


2 


.209 


.998 


.046 


5 


.097 


.998 




3 


.984 


.765 


32 


.976 


.853 




1 


.739 


.965 




4 


.256 


.994 


.080 


8 


.054 


.999 


45 


.022 


.999 


.016 


2 


.233 


.997 




3 


.577 


.971 




7 


.1 51^ 


.997 


44 


.056 


.998 




1 


.781 


.955 




2 


.962 


.820 




6 


.277 


.991 


43 


.118 


.996 


.017 


2 


.258 


.996 


.048 


5 


.112 


.998 




5 


.525 


.971 


42 


.215 


.992 




1 


.821 


.943 




4 


.287 


.992 




4 


.838 


.903 


41 


.344 


.985 


.018 


3 


.071 


.999 




3 


.622 


.965 


.085 


8 


.074 


.998 


40 


.492 


.974 




2 


.284 


.995 




2 


.976 


.792 




7 


.167 


.995 


39 


.639 


.959 




1 


.857 


.929 


.050 


6 


.046 


.999 




6 


.359 


.987 


38 


.768 


.941 


.019 


3 


.081 


.999 




5 


.129 


.998 




5 


.606 


.959 



70 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 52 - 52 

F X h D F 



.085 
.090 



4 .896 .872 
9 .Oil .999 
8 .097 .998 
7 .209 .994 
6 .404 .981 

5 .684 .945 
4 .939 .837 



.135 



.140 



9 .307 .986 

8 .506 .968 

7 .742 .926 

6 .930 .840 

12 .052 .999 

11 .107 .997 

10 .203 .993 



.180 11 .385 .979 

10 .575 .956 

9 .775 .913 

8 .926 .842 

7 .989 .746 

190 16 .026 .999 

14 .104 .997 



.250 15 .341 .981 

14 .495 .965 

13 .666 .938 

12 .823 .896 

11 .93? .838 

10 .984 .768 

.260 20 .029 .999 



.095 



.100 10 .031 .999 



.110 



.115 



.120 



.125 



130 



135 



9 


.055 


.999 


8 


.125 


.997 


7 


.257 


.991 


6 


.473 


.975 


5 


.757 


.927 


4 


.966 


.801 



9 


.073 


.998 


8 


.158 


.995 


7 


.310 


.988 


6 


.545 


.966 


5 


.821 


.905 


4 


.983 


.765 



.105 10 .041 .999 



9 


.095 


.998 


8 


.196 


.994 


7 


.368 


.983 


6 


.616 


.955 


5 


.875 


.880 


10 


.055 


.999 


9 


.120 


.997 


8 


.238 


.991 


7 


.429 


.978 


6 


.685 


.942 


5 


.917 


.853 


1 1 


.031 


.999 


10 


.071 


.998 


9 


.149 


.996 


8 


.285 


.989 


7 


.492 


.971 


6 


.749 


.926 


5 


.948 


.824 


1 1 


.041 


.999 


10 


.091 


.998 


9 


.183 


.994 


8 


.336 


.985 


7 


.557 


.962 


6 


.807 


.907 


5 


.969 


.795 


1 1 


.054 


.999 


10 


.1 13 


.997 


9 


.220 


.992 


8 


.390 


.980 


7 


.621 


.952 


6 


.857 


.887 


5 


.982 


.766 


12 


.031 


.999 


1 1 


.068 


.998 


10 


.140 


.996 


9 


.262 


.990 


8 


.447 


.975 


7 


.684 


.940 


6 


.898 


.864 


12 


.040 


.999 


1 1 


.086 


.998 


10 


.170 


.994 



.145 



.150 



155 



1 160 



165 



.170 



,180 



9 .356 .983 

8 .565 .960 

7 .795 .910 

6 .954 .815 

13 .030 .999 

12 .065 .998 

11 .130 .996 



10 .241 .990 

9 .407 .978 

8 .624 .950 

7 .842 .892 

6 .971 .791 

13 .039 .999 

12 .081 .998 



1 1 


.157 


.995 


10 


.281 


.986 


9 


.461 


.972 


8 


.681 


.939 


7 


.882 


.872 


6 


.982 


.766 


13 


.049 


.999 


12 


.100 


.997 


1 1 


.188 


.993 


10 


.325 


.984 


9 


.516 


.965 


8 


.735 


.926 


7 


.914 


.852 


6 


.989 


.743 



14 .029 .999 

13 .061 .998 

12 .121 .996 

11 .221 .991 

10 .372 .980 

9 .571 .958 

8 .785 .911 



7 .940 .830 

14 .037 .999 

13 .076 .998 

12 .146 .995 

1 1 .258 .989 

10 .421 .976 

9 .626 .948 



8 .829 .896 

7 .959 .809 

14 .046 .999 

13 .093 .997 

12 .173 ,994 

11 .298 .986 

10 .471 .970 



9 .678 .938 

8 .867 .879 

7 .973 ,788 

15 .035 .999 

14 .071 .996 

13 .134 ,995 

12 .236 .990 



.200 



.210 



.220 



.230 



.240 



.250 



13 


.187 


.993 


12 


.31 1 


.985 


1 1 


.480 


.968 


10 


.675 


.938 


9 


.854 


.884 


8 


.962 


.804 


16 


.040 


.999 


15 


.080 


.998 


14 


.146 


.995 


13 


.250 


.989 


12 


.395 


.977 


1 1 


.577 


.955 


10 


.766 


.915 


9 


.913 


.851 


8 


.963 


.767 


17 


.030 


.999 


16 


.061 


.998 


15 


.1 14 


.996 


14 


.199 


.992 


13 


.323 


.983 


12 


.486 


.967 



11 .672 .937 

10 .843 .888 

9 .952 .818 

18 .022 .999 

16 .088 .997 

15 .157 .994 

14 .261 .988 



13 
12 
1 1 



.404 .976 

.579 .954 

.759 .916 

10 .901 .859 

9 .976 .784 

18 .034 .999 

17 .067 .998 



16 .123 .996 

15 .209 .991 

14 .332 .982 

13 .491 .966 

12 .669 .937 

11 .832 .892 

10 .942 .828 



9 .988 .751 



19 


.026 


.999 


17 


.095 


.997 


16 


.166 


.993 


15 


.271 


.987 


14 


.41 1 


.974 


13 


.580 


.953 


12 


.752 


.918 


1 1 


.890 


.866 


10 


.968 


.798 


19 


.039 


.999 


18 


.073 


.998 


17 


.131 


.995 


16 


.218 


.990 



.270 



,280 



.290 



.300 



.310 



19 


.056 


.998 


18 


.10? 


.996 


17 


.17"^ 


.993 


16 


.279 


.986 


15 


.417 


.974 


14 


.580 


.953 


13 


.745 


.919 


12 


.880 


.871 


1 1 


.961 


.809 


21 


.021 


.999 


19 


.079 


.997 


18 


.1 38 


.995 


17 


.227 


.989 


16 


.340 


.980 



15 .49« .964 

14 .66? .938 

13 .814 .899 

12 .923 .845 

11 .970 .781 

21 .05? .999 

20 .061 .998 



19 .108 .996 

18 .18? .992 

17 .287 .985 

16 .42? .973 

15 .580 .952 

14 .759 .921 

13 .871 .876 



12 .953 .819 

11 .989 .755 

22 .023 .999 

20 .084 .997 

19 .145 .994 

18 .254 .989 

17 .354 .979 



16 


.500 


.963 


15 


.659 


.938 


14 


.806 


.901 


13 


.914 


.852 


12 


.97^ 


.793 


22 


.054 


.999 


21 


.065 


.998 


20 


.114 


.996 


19 


.189 


.992 


18 


.29-^ 


.984 


17 


.426 


.972 


16 


.580 


.952 


15 


.754 


.922 


14 


.86? 


.880 



13 .946 .828 

12 .985 .768 

23 .026 .999 

22 .049 .998 

21 .089 .997 

20 .151 .994 

19 .240 .988 



71 



FINITE QUEUING TABLES 
X M D F X 



,310 



.320 



,330 



,340 



,360 



,380 



18 .359 .979 

17 .502 .963 

16 .657 .939 

15 .799 .904 

14 .906 .858 

13 .968 .803 

23 .037 .999 



.400 



22 


.069 


.998 


21 


.119 


.995 


20 


.195 


.991 


19 


.298 


.984 


18 


.430 


.972 


17 


.579 


.952 


16 


.729 


.924 


15 


.855 


.884 


14 


.939 


.835 


13 


.981 


.780 


24 


.027 


.999 


23 


.052 


.998 


22 


.093 


.997 


21 


.156 


.993 


20 


.246 


.988 


19 


.363 


.978 


18 


.504 


.963 


17 


.654 


.939 


16 


.793 


.906 


15 


.899 


.863 


14 


.962 


.812 


13 


.990 


.757 


25 


.020 


.999 


23 


.072 


.998 


22 


.124 


.995 


21 


.200 


.99.1 


20 


.303 


.983 


19 


.432 


.971 


18 


.578 


.952 


17 


.724 


.925 


16 


.847 


.888 


15 


.932 


.842 


14 


.977 


.790 


26 


.021 


.999 


24 


.075 


.997 


23 


.128 


.995 


22 


.204 


.990 


21 


.307 


.983 


20 


.435 


.971 


19 


.578 


.952 


18 


.720 


.926 


17 


.841 


.891 


16 


.926 


.848 


15 


.973 


.799 


27 


.023 


.999 


25 


.078 


.997 


24 


.131 


.995 


23 


.208 


.990 


22 


.31 1 


.983 


21 


.437 


.971 


20 


.577 


.953 


19 


.716 


.927 


18 


.835 


.894 


17 


.920 


.853 


16 


.969 


.807 


28 


.023 


.999 



.400 



.420 



.440 



.460 



.480 



M 



D 



26 .030 .997 

25 .134 .994 

24 .212 .990 

23 .314 .982 

22 .438 .970 

21 .576 .953 

20 .712 .928 



19 .829 .897 
18 .915 .856 
17 .965 .815 
16 .989 .769 
29 .024 .999 
27 .082 .997 
26 .137 .994 



25 .214 .990 

24 .316 .982 

23 .440 .970 

22 .575 .953 

21 .709 .930 

20 .825 .899 

19 .910 .863 



18 .962 .822 
17 .987 .778 
30 .025 .999 
29 .047 .998 
28 .084 .997 
27 .139 .994 
26 .217 .989 



25 


.319 


.982 


24 


.441 


.970 


23 


.574 


.954 


22 


.706 


.931 


21 


.820 


.902 


20 


.905 


.867 


19 


.958 


.828 


18 


.985 


.786 


31 


.025 


.999 


30 


.048 


.998 


29 


.085 


.997 


28 


.141 


.994 


27 


.219 


.989 


26 


.320 


.982 


25 


.442 


.970 


24 


.574 


.954 


23 


.704 


.932 


22 


.816 


.904 


21 


.901 


.871 


20 


.955 


.833 


19 


.983 


.793 



32 .026 .999 
31 .048 .998 
30 .086 .997 
29 .142 .994 
28 .220 .989 
27 .322 .982 
26 .442 .971 



.500 



25 .573 

24 .701 

23 .813 

22 .897 

21 .951 

20 .981 .800 

33 .026 .999 



.955 
.933 

.906 
.874 
.838 



,500 



.520 



.540 



,560 



.580 









POPULATION 


52 - 


- 52 


M 


D 


F 


X 


M 


D 


F 


32 


.049 


.998 


.580 


25 


.973 


.828 


31 


.086 


.997 




24 


.990 


.795 


30 


.143 


.994 


.600 


38 


.02-^ 


.999 


29 


.221 


.989 




36 


.083 


.997 


28 


.323 


.982 




35 


.140 


.994 


27 


.443 


.971 




34 


.220 


.990 


26 


.572 


.955 




33 


.323 


.983 


25 


.699 


.934 




32 


.442 


.972 


24 


.810 


.908 




31 


.570 


.958 


23 


.894 


.877 




30 


.694 


.940 


22 


.949 


.843 




29 


.801 


.917 


21 


.979 


.807 




28 


.884 


.891 


34 


.025 


.999 




27 


.959 


.863 


33 


.049 


.998 




26 


.97? 


.832 



32 .086 .997 

31 .143 .994 

30 .222 .989 

29 .323 .982 

28 .443 .971 

27 .572 .956 

26 .698 .935 



.650 



25 .989 .801 

40 .029 .999 

39 .057 .998 

38 .103 .996 

37 .172 .993 

36 .265 .987 

35 .379 .979 



25 


.807 


.910 


34 


.506 


.967 


24 


.891 


.880 


33 


.634 


.952 


23 


.946 


.848 


32 


.751 


.932 


22 


.977 


.812 


31 


.845 


.909 


35 


.025 


.999 


30 


.914 


.884 


34 


.048 


.998 


29 


.957 


.856 


33 


.086 


.997 


28 


.981 


.828 



32 .143 .994 

31 .222 .989 

30 .323 .982 

29 .443 .971 

28 .571 .956 

27 .696 .936 

26 .805 .912 



25 .888 .883 

24 .944 .852 

23 .976 .818 

36 .025 .999 

35 .048 .998 

34 .085 .997 

33 .142 .994 



32 .222 .989 

31 .324 .982 

30 .443 .972 

29 .571 .957 

28 .695 .937 

27 .803 .914 

26 .886 .886 



25 .942 .856 

24 .974 .823 

37 .024 .999 

36 .047 .998 

35 .084 .997 

34 .142 .994 

33 .221 .990 



32 .323 .982 

31 .443 .972 

30 .571 .957 

29 .694 .939 

28 .802 .915 

27 .885 .889 

26 .940 .859 



.700 



.750 



42 .054 .999 

41 .069 .998 

40 .126 .995 

39 .208 .991 

38 .314 .985 

37 .440 .975 

36 .57? .962 



35 .69R .945 

34 .805 .925 

33 .886 .902 

32 .940 .877 

31 .97? .851 

30 .988 .824 

44 .040 .999 



.800 



43 .08? .997 

42 .151 .994 

41 .24R .990 

40 .370 .982 

39 .506 .971 

38 .64? .956 

37 .76? .938 



36 .856 .918 

35 .921 .895 

34 .96? .871 

33 .983 .846 

46 .043 .999 

45 .094 .997 

44 .178 .994 



43 .294 .988 

42 .434 .979 

41 ,581 .966 

40 .716 .951 

39 .826 .932 

38 .904 .911 

37 .95? .888 



72 



FINITE QUEUING TABLES 
















POPULATION 


£2 ■ 


- 54 


X 


M 


D 


F 


X 


M 


D 


F 


X 


M 


D 


F 


X 


M 


D 


F 


.800 


36 


.979 


.865 


.021 


3 


.114 


.999 


.052 


5 


.168 


.996 


.090 


7 


.244 


.992 


.850 


48 


.042 


.999 




2 


.390 


.991 




4 


.388 


.987 




6 


.454 


.977 




47 


.104 


.997 




1 


.957 


.850 




3 


.753 


.940 




5 


.759 


.934 




46 


.207 


.993 


.022 


3 


.128 


.999 


.054 


6 


.074 


.999 




4 


.961 


.813 




45 


.349 


.986 




2 


.420 


.990 




5 


.190 


.996 


.095 


9 


.069 


.999 




44 


.510 


.976 




1 


.972 


.823 




4 


.425 


.984 




8 


.150 


.996 




43 


.667 


.962 


.023 


3 


.142 


.998 




3 


.793 


.928 




7 


.29=< 


.989 




42 


.796 


.944 




2 


.450 


.988 


.056 


6 


.086 


.999 




6 


.52« 


.969 




41 


.889 


.925 




1 


.983 


.794 




5 


.213 


.995 




5 


.609 


.912 




40 


.946 


.904 


.024 


3 


.157 


.998 




4 


.462 


.981 




4 


.981 


.775 




39 


.977 


.882 




2 


.481 


.986 




3 


.830 


.914 


.100 


10 


.059 


.999 


.900 


50 


.031 


.999 




1 


.990 


.766 


.058 


6 


.099 


.998 




9 


.090 


.998 




49 


.105 


.997 


.025 


3 


.173 


.998 




5 


.238 


.994 




6 


.188 


.994 




48 


.239 


.993 




2 


.512 


.984 




4 


.501 


.977 




7 


.356 


.985 




47 


.420 


.985 


.026 


4 


.054 


.999 




3 


.864 


.899 




6 


.60^ 


.959 




46 


.609 


.972 




3 


.189 


.997 


.060 


7 


.043 


.999 




5 


.867 


.887 




45 


.770 


.956 




2 


.543 


.981 




6 


.113 


.998 


.105 


10 


.05'' 


.999 




44 


.881 


.938 


.028 


4 


.068 


.999 




5 


.264 


.993 




9 


.116 


.997 




43 


.947 


.918 




3 


.224 


.996 




4 


.540 


.973 




8 


.252 


.992 




42 


.979 


.897 




2 


.605 


.974 




3 


.893 


.883 




7 


.42r^ 


.979 


.950 


51 


.073 


.999 


.030 


4 


.084 


.999 


.062 


7 


.050 


.999 




6 


.675 


.945 




50 


.270 


.993 




3 


.261 


.995 




6 


.128 


.997 




5 


.91 ^ 


.859 




49 


.531 


.983 




2 


.666 


.966 




5 


.291 


.991 


.110 


1 1 


.050 


.999 




48 


.756 


.968 


.032 


4 


.102 


.999 




4 


.579 


.968 




10 


.069 


.998 




47 


.896 


.950 




3 


.301 


.993 




3 


.918 


.865 




9 


. 146 


.996 




46 


.964 


.931 




2 


.725 


.955 


.064 


7 


.058 


.999 




8 


.280 


.989 




45 


.989 


.91 1 


.034 


4 


.123 


.998 




6 


.144 


.997 




7 


.485 


.973 












3 


.343 


.991 




5 


.320 


.989 




6 


.744 


.929 


POPULATION 


54 




2 


.780 


.941 




4 


.618 


.962 




5 


.947 


.829 










.036 


5 


.046 


.999 




3 


.938 


.846 


.1 15 


1 1 


.04 1 


.999 


.003 


1 


.159 


.999 




4 


.145 


.99b 


.066 


7 


.066 


.999 




10 


.089 


.998 


.005 


1 


.265 


.998 




3 


.386 


.989 




6 


.162 


.996 




9 


.180 


.994 


.006 


1 


.317 


.997 




2 


.830 


.924 




5 


.350 


.988 




8 


.352 


.986 


.007 


1 


.370 


.996 


.033 


5 


.056 


.999 




4 


.656 


.956 




7 


.55"' 


.964 


.008 


1 


.422 


.994 




4 


.169 


.997 




3 


.955 


.827 




6 


.805 


.911 


.009 


2 


.091 


.999 




3 


.431 


.986 


.068 


7 


.076 


.999 




5 


.969 


.799 




1 


.473 


.992 




2 


.874 


.904 




6 


.180 


.996 


.120 


1 1 


.053 


.999 


.010 


2 


.1 10 


.999 


.040 


5 


.068 


.999 




5 


.380 


.985 




10 


.11^ 


.997 




1 


.525 


.990 




4 


.195 


.996 




4 


.693 


.948 




9 


.219 


.992 


.01 1 


2 


.130 


.999 




3 


.478 


.962 




3 


.968 


.807 




8 


.389 


.981 




1 


.575 


.986 




2 


.91 1 


.880 


.070 


7 


.086 


.998 




7 


.62'^ 


.954 


.012 


2 


.151 


.999 


.042 


5 


.081 


.999 




6 


.200 


.995 




6 


.85« 


.889 




1 


.625 


.982 




4 


.223 


.995 




5 


.412 


.963 




5 


.98^ 


.766 


.013 


2 


.174 


.998 




3 


.524 


.978 




4 


.729 


.940 


.125 


12 


.051 


.999 




1 


.673 


.976 




2 


.940 


.853 




3 


.977 


.787 




1 1 


.069 


.998 


.Ola 


2 


.196 


.998 


.044 


5 


.095 


.999 


.075 


8 


.048 


.999 




10 


. I4n 


.996 




1 


.720 


.969 




4 


.253 


.994 




7 


.1 17 


.997 




9 


.26? 


.990 


.015 


2 


.223 


.997 




3 


.572 


.973 




6 


.255 


.992 




8 


.448 


.975 




1 


.765 


.960 




2 


.962 


.825 




5 


.494 


.975 




7 


.685 


.941 


.016 


2 


.249 


.997 


.046 


5 


.111 


.998 




4 


.812 


.915 




6 


.900 


.866 




1 


.808 


.949 




4 


.284 


.993 


.080 


3 


.066 


.999 


.130 


12 


.04 1 


.999 


.017 


3 


.068 


.999 




3 


.619 


.966 




7 


.153 


.996 




1 1 


.087 


.998 




2 


.276 


.996 




2 


.977 


.796 




6 


.316 


.989 




10 


.17? 


.994 




1 


.847 


.936 


.048 


6 


.045 


.999 




5 


.573 


.965 




9 


.310 


.987 


.018 


3 


.078 


.999 




5 


.129 


.998 




4 


.879 


.885 




8 


.509 


.968 




2 


.303 


.995 




4 


.317 


.991 


.085 


9 


.037 


.999 




7 


.746 


.926 




1 


.882 


.919 




3 


.665 


.959 




3 


.090 


.998 




6 


.95? 


.841 


.019 


3 


.090 


.999 




2 


.986 


.767 




7 


.195 


.994 


.135 


12 


.053 


.999 




2 


.331 


.994 


.050 


6 


.054 


.999 




6 


.3d3 


.984 




1 1 


.10Q 


.997 




1 


.912 


.899 




5 


.148 


.997 




5 


.661 


.951 




10 


.207 


.993 


.020 


3 


.102 


.999 




4 


.352 


.989 




4 


.928 


.850 




9 


.361 


.983 




2 


.360 


.993 




3 


.710 


.950 


.090 


9 


.051 


.999 




8 


.571 


.960 




1 


.937 


.876 


.052 


6 


.063 


.999 




8 


.1 17 


.997 




7 


.601 


.910 



73 



FINITE QUEUING TABLES 



POPULATION 5a - 54 



D 



135 
140 



145 



150 



155 



160 



165 



170 



180 



6 

1 3 
12 
1 1 
10 
9 
8 



7 
6 
13 
12 
1 1 
10 
9 



7 
6 
13 
12 
1 1 
10 



9 
8 
7 
14 
13 
12 
1 1 



10 

9 

8 

7 

14 

13 

12 



.957 
.031 
.067 
.134 
.246 
.415 
.633 



.849 
.974 
.041 
.085 
.163 
.289 
.471 



.692 
.890 
.985 
.052 
.105 
.195 
.335 



.528 
.747 
.922 
.031 
.065 
.128 
.231 



.384 
.586 
.798 
.947 
.040 
.081 
.154 



.815 
.999 
.998 
.996 
.990 
.978 
.950 



.891 
.789 
.999 
.998 
.995 
.988 
.972 



.938 
.870 
.764 
.999 
.997 
.993 
.984 



.965 
.924 
.849 
.999 
.998 
.996 
.991 



.980 
.956 
.909 
.827 
.999 
.998 
.995 



ilSO 



190 



1 1 .270 .988 

10 .436 .975 

9 .642 .947 

8 .842 .892 

7 .965 .804 

14 .050 .999 

13 .100 .997 



12 .183 .993 

11 .312 .985 

10 .489 .969 

9 .697 .936 

8 .880 .874 

7 .977 .782 

15 .030 .999 



14 


.063 


.998 


13 


.121 


.996 


12 


.216 


.991 


1 1 


.357 


.982 


10 


.543 


.962 


9 


.748 


.923 


8 


.912 


.856 


7 


.986 


.761 


16 


.023 


.999 


14 


.095 


.997 


13 


.172 


.994 


12 


.290 


.987 


1 1 


.454 


.972 


10 


.649 


.944 



.200 



.210 



.220 



.230 



,240 



.250 



9 


.836 


.894 


8 


.956 


.816 


16 


.037 


.999 


15 


.074 


.998 


14 


.136 


.995 


13 


.235 


.990 


12 


.376 


.980 


1 1 


.555 


.959 


10 


.748 


.922 


9 


.903 


.861 


3 


.980 


.777 


17 


.028 


.999 


16 


.057 


.998 


15 


.107 


.997 


14 


.188 


.993 


13 


.308 


.985 


12 


.469 


.970 


1 1 


.655 


.942 


10 


.831 


.895 


9 


.947 


.826 


17 


.044 


.999 


16 


.084 


.997 


15 


.150 


.994 


14 


.252 


.989 


13 


.392 


.977 


12 


.565 


.957 


1 1 


.747 


.921 


10 


.895 


.865 


9 


.974 


.790 


18 


.034 


.999 


17 


.065 


.998 


16 


.1 19 


.996 


15 


.204 


.992 


14 


.325 


.983 


13 


.482 


.968 


12 


.660 


.941 


1 1 


.826 


.897 


10 


.940 


.834 


9 


.988 


.756 


19 


.025 


.999 


17 


.094 


.997 


16 


.164 


.994 


15 


.267 


.987 


14 


.406 


.976 


13 


.574 


.955 


12 


.747 


.921 


1 1 


.888 


.869 


10 


.968 


.801 


19 


.039 


.999 


18 


.074 


.998 


17 


.131 


.995 


16 


.218 


.990 


15 


.339 


.982 


14 


.493 


.966 


13 


.664 


.939 


12 


.822 


.898 



11 .933 .840 

10 .984 .770 

20 .030 .999 

19 .057 .998 

18 .104 .996 

17 .176 .993 

16 .281 .986 



.250 



.260 



.270 



.280 



.290 



.300 



.310 



15 


.419 


.974 


14 


.581 


.953 


13 


.747 


.921 


12 


.882 


.873 


1 1 


.962 


.81 1 


21 


.022 


.999 


19 


.082 


.997 


IS 


.142 


.995 


17 


.231 


.989 


16 


.352 


.980 


15 


.503 


.964 


14 


.667 


.938 


13 


.818 


.899 


12 


.926 


.846 


1 1 


.980 


.781 


21 


.034 


.999 


20 


.064 


.998 


19 


.1 13 


.996 


18 


.188 


.992 


17 


.293 


.985 


16 


.430 


.973 


15 


.588 


.952 


14 


.746 


.920 


13 


.876 


.875 


12 


.956 


.818 


22 


.025 


.999 


20 


.089 


.997 


19 


.152 


.994 


18 


.242 


.988 


17 


.364 


.979 


16 


.511 


.963 


15 


.670 


.937 


14 


.815 


.900 


13 


.920 


.851 



12 .976 .791 



22 .038 .999 

21 .070 .998 

20 .121 .995 

19 .198 .991 

18 .305 .984 

17 .440 .971 

16 .594 .951 



15 .746 .920 

14 .872 .878 

13 .951 .825 

.987 .765 

.029 .999 

22 .054 .998 

21 .096 .997 



12 
23 



20 


.161 


.993 


19 


.253 


.988 


18 


.374 


.978 


17 


.519 


.962 


16 


.673 


.937 


15 


.813 


.901 


14 


.915 


.855 


13 


.972 


.800 


24 


.022 


.999 


22 


.076 


.997 


21 


.129 


.995 


20 


.208 


.991 


19 


.315 


.983 


18 


.449 


.970 



.310 



.320 



,330 



.340 



.360 



,380 



17 


.599 


.950 


16 


.746 


.921 


15 


.86« 


.881 


14 


.947 


.831 


13 


.984 


.775 


24 


.0 5? 


.999 


23 


.05Q 


.998 


22 


.103 


.996 


21 


.170 


.993 


20 


.263 


.987 


19 


.384 


.977 


18 


.526 


.961 


17 


.675 


.936 


16 


.8in 


.902 


15 


.910 


.859 


14 


.968 


.807 


25 


.024 


.999 


23 


.081 


.997 


22 


.1 57 


.995 


21 


.218 


.990 


20 


.325 


.982 



19 .457 .969 

18 .604 .949 

17 .746 .921 

16 .864 .883 

15 .94? .836 

14 .98? .784 

25 .055 .999 



24 .064 .998 

23 .110 .996 

22 .178 .992 

21 .273 .986 

20 .393 .976 

19 .553 .960 

18 .67R .936 



17 .809 .903 

16 .906 .862 

15 .964 .814 

14 .990 .762 

27 .019 .999 

25 .068 .998 

24 .116 .996 



23 .186 .992 

22 .281 .985 

21 .401 .975 

20 .559 .959 

19 .680 .936 

18 .807 .904 

17 .903 .865 



16 


.961 


.820 


15 


.988 


.771 


28 


.021 


.999 


26 


.07? 


.998 


25 


.121 


.995 


24 


.193 


.991 


23 


.289 


.985 


22 


.409 


.974 


21 


.544 


.958 


20 


.68? 


.936 


19 


.806 


.905 


18 


.900 


.868 


17 


.958 


.825 


16 


.986 


.779 



74 



FINITE QUEUING TABLES 
X M D F X 



,U00 29 .023 .999 

27 .076 .997 

26 .127 .995 

25 .200 .991 

2U .297 .984 

23 .416 .973 

22 .549 .958 



21 .685 .935 

20 .805 .906 

19 .897 .871 

18 .955 .830 

17 .984 .786 

.420 30 .024 .999 

28 .079 .997 



27 .132 .995 

26 .206 .990 

25 .304 .983 

24 .422 .973 

23 .554 .957 

22 .687 .935 

21 .805 .907 



20 .895 .873 

19 .952 .834 

18 .982 .793 

31 .025 .999 

30 .047 .998 

29 .083 .997 

28 .136 .994 



.440 



.460 



,480 



27 .212 .990 
26 .310 .983 
25 .428 .972 
24 .559 .957 
23 .689 .935 
22 .804 .908 
21 .893 .875 



20 .950 .838 

19 .981 .799 

32 .026 .999 

31 .049 .998 

30 .086 .997 

29 .140 .994 

28 .217 .990 



27 .316 .982 
26 .434 .972 
25 .564 .956 
24 .692 .936 
23 .805 .909 
22 .891 .878 
21 .948 .842 



20 .979 .804 

33 .027 .999 

32 .051 .998 

31 .088 .997 

30 .144 .994 

29 .222 .989 

28 .322 .982 



27 .440 .971 
26 .568 .956 
25 .694 .936 
24 .805 .910 
23 .890 .880 
22 .947 .846 
21 .978 .809 



.500 34 .028 .999 
33 .052 .998 
32 .091 .997 
31 .148 .994 
30 .227 .989 
29 .327 .982 
28 .445 .971 



27 .573 .956 

26 .697 .936 

25 .806 .91 1 

24 .890 .881 

23 ^945 .849 

22 .977 .814 

.520 35 .029 .999 



34 .053 .996 
33 .093 .997 
32 .151 .994 
31 .231 .989 
30 .332 .982 
29 .450 .971 
28 .577 .956 



27 .700 .936 

26 .807 .912 

25 .890 .883 

24 .945 .852 

23 .976 .818 

.540 36 .029 .999 

35 .054 .998 



34 .094 .996 
33 .154 .994 
32 .235 .989 
31 .337 .981 
30 .455 .970 
29 .581 .956 
28 .703 .936 



.560 



.580 



27 


.809 


.913 


26 


.890 


.885 


25 


.944 


.854 


24 


.975 


.822 


37 


.029 


.999 


36 


.055 


.998 


35 


.096 


.996 


34 


.156 


.993 


33 


.?38 


.989 


32 


.341 


.981 


31 


.460 


.970 


30 


.586 


.956 


29 


.707 


.937 


28 


.81 1 


.913 


27 


.890 


.887 


26 


.944 


.857 


25 


.975 


.826 


38 


.029 


.999 


37 


.055 


.998 


36 


.097 


.996 


35 


.158 


.993 


34 


.241 


.988 


33 


.345 


.981 


32 


.465 


.970 


31 


.591 


.956 


30 


.710 


.937 


29 


.813 


.914 


28 


.891 


.888 









POPULATION 


54 ■ 


- 56 


X M 


D 


F 


X 


M 


D 


F 


.580 27 


.944 


.859 


.800 


41 


.78? 


.941 


26 


.975 


.829 




40 


.87? 


.922 


25 


.990 


.798 




39 


.953 


.901 


.600 39 


.029 


.999 




38 


.968 


.879 


38 


.055 


.998 




37 


.986 


.856 


37 


.097 


.996 


.850 


50 


.05-^ 


.999 


36 


.160 


.993 




49 


.086 


.998 


35 


.244 


.988 




48 


.177 


.994 


34 


.349 


.981 




47 


.307 


.989 


33 


.470 


.970 




46 


.46' 


.980 


32 


.595 


.956 




45 


.620 


.967 


31 


.714 


.937 




44 


.757 


.951 


30 


.816 


.915 




43 


.861 


.933 


29 


.893 


.889 




42 


.929 


.914 


28 


.944 


.862 




41 


.967 


.893 


27 


.974 


.832 




40 


.987 


.871 


26 


.990 


.802 


.900 


52 


.026 


.999 


.650 42 


.019 


.999 




51 


.090 


.998 


40 


.073 


.998 




50 


.21^ 


.994 


39 


.127 


.995 




49 


.384 


.987 


38 


.203 


.991 




48 


.57? 


.976 


37 


.302 


.985 




47 


.75n 


.961 


36 


.419 


.976 




46 


.859 


.944 


35 


.545 


.964 




45 


.954 


.925 


34 


.669 


.948 




44 


.973 


.905 


33 


.778 


.928 


.950 


53 


.C66 


.999 


32 


.865 


.905 




52 


.251 


.994 


31 


.925 


.880 




51 


.506 


.985 


30 


.963 


.853 




50 


.754 


.971 


29 


.984 


.826 




49 


.88? 


.954 


.700 44 


.024 


.999 




48 


.957 


.935 


43 


.050 


.998 




47 


.987 


.916 


42 


.094 


.997 










41 


.161 


.994 










40 


.253 


.989 










39 


.366 


.981 


POPULATION 


56 


38 


.493 


.971 










37 


.622 


.957 


.003 


1 


.165 


.999 


36 


.740 


.939 


.005 


1 


.274 


.998 


35 


.836 


.919 


.006 


1 


.329 


.997 


34 


.906 


.896 


.007 


1 


.383 


.996 


33 


.952 


.871 


.008 


1 


.457 


.994 


32 


.978 


.846 


.009 


2 


.097 


.999 


.750 46 


.029 


.999 




1 


.491 


.992 


45 


.062 


.998 


.010 


2 


.117 


.999 


44 


.118 


.996 




1 


.544 


.989 


43 


.201 


.992 


.01 1 


2 


.1 59 


.999 


42 


.310 


.986 




1 


.596 


.985 


41 


.439 


.977 


.012 


2 


.16? 


.999 


40 


.574 


.965 




1 


.647 


.980 


39 


.702 


.949 


.013 


2 


.186 


.998 


38 


.808 


.931 




1 


.697 


.974 


37 


.888 


.910 


.014 


2 


.21 1 


.998 


36 


.941 


.887 




1 


.745 


.966 


35 


.972 


.863 


.015 


2 


.25fl 


.997 


34 


.988 


.839 




1 


.79n 


.956 


.800 48 


.033 


.999 


.016 


2 


.265 


.996 


47 


.075 


.998 




1 


.85-^ 


.943 


46 


.146 


.995 


.017 


3 


.075 


.999 


45 


.249 


.990 




2 


.29-< 


.996 


44 


.379 


.983 




1 


.871 


.927 


43 


.522 


.972 


.018 


3 


.086 


.999 


42 


.662 


.958 




2 


.32? 


.995 



75 



FINITE QUEUING TABLES 



POPULATION 56 



56 



.018 


1 


.904 


.907 


.048 


3 


.707 


.952 


.080 


5 


.630 


.958 


.130 


10 


.20<^ 


.993 


.019 


3 


.098 


.999 


.050 


6 


.063 


.999 




4 


.913 


.866 




9 


.361 


.983 




2 


.352 


.993 




5 


. 167 


.997 


.085 


9 


.046 


.999 




8 


.572 


.961 




1 


.932 


.884 




4 


.386 


.987 




8 


.107 


.998 




7 


.80-* 


.911 


.020 


3 


.1 1 1 


.999 




3 


.752 


.941 




7 


.227 


.993 




6 


.959 


.816 




2 


.383 


.992 


.052 


6 


.074 


.999 




6 


.430 


.980 


.135 


13 


.03? 


.999 




1 


.954 


.858 




5 


.190 


.99fe 




5 


.714 


.941 




12 


.069 


.998 


.021 


3 


.125 


.999 




4 


.425 


.984 




4 


.953 


.828 




11 


.1 56 


.996 




2 


.414 


.991 




3 


.795 


.929 


.090 


9 


.063 


.999 




10 


.249 


.991 




1 


.971 


.830 


.054 


6 


.086 


.999 




8 


.140 


.996 




9 


.41 7 


.978 


.022 


3 


.140 


.998 




5 


.214 


.995 




7 


.281 


.990 




8 


.656 


.950 




2 


.445 


.989 




4 


.464 


.981 




6 


.506 


.973 




7 


.85^ 


.892 




1 


.982 


.800 




3 


.833 


.915 




5 


.790 


.921 




6 


.976 


.789 



,023 



3 .155 .998 



.056 



6 .100 .998 



4 .977 .788 



,140 13 .045 .999 



.024 
.025 
.026 

.028 
.030 

.032 
,034 

,036 
,038 



2 .477 .987 

1 .990 .770 

.172 .998 

.509 .984 

.189 .997 

.541 .982 

.061 .999 



.206 .997 
.574 .979 
.077 .999 
.244 .996 
.638 .971 
4 .095 .999 
3 .284 .994 



.700 .961 

.115 .998 

.326 .992 

.760 .948 

.137 .998 

.371 .990 

.815 .932 



.053 .999 

.161 .997 

.417 .987 

.863 .912 

.065 .999 

.188 .997 

.465 .984 



.058 



,060 



.062 



.064 



.066 



5 


.240 


.994 


4 


.504 


.977 


3 


.868 


.900 


7 


.043 


.999 


6 


.114 


.998 


5 


.267 


.993 


4 


.545 


.973 



,095 



3 .898 .882 



7 


.051 


.999 


6 


.130 


.997 


5 


.296 


.991 


4 


.585 


.968 


3 


.923 


.864 


7 


.059 


.999 


6 


.148 


.997 


5 


.326 


.989 


4 


.626 


.962 


3 


.943 


.844 


7 


.069 


.999 


6 


. 166 


.996 


5 


.357 


.988 


4 


.665 


.955 


3 


.960 


.824 


7 


.079 


.999 


6 


.186 


.995 


5 


.389 


.985 


4 


.704 


.947 


3 


.972 


.803 



,105 



1 10 



10 


.036 


.999 


9 


.084 


.998 


8 


.178 


.995 


7 


.3,4n 


.986 


6 


.584 


.963 


5 


.855 


.896 



4 .990 .750 



.100 10 .050 .999 



1 15 



9 


.1 10 


.997 


8 


.222 


.993 


7 


.405 


.981 


6 


.660 


.950 


5 


.906 


.867 


1 1 


.029 


.999 


9 


.140 


.996 


8 


.270 


.990 


7 


.473 


.975 


6 


.732 


.934 


5 


.943 


.837 


1 1 


.039 


.999 


10 


.086 


.998 


9 


.175 


.995 


8 


.324 


.987 


7 


.543 


.966 


6 


.798 


.91 = 


5 


.968 


.805 


1 1 


.052 


.999 



145 



,150 



.155 



12 


.087 


.998 


1 1 


.166 


.995 


10 


.293 


.988 


9 


.476 


.972 


8 


.09R 


.938 


7 


.89U 


.870 


6 


.986 


.763 


13 


.054 


.999 


12 


.lOR 


.997 


1 1 


.199 


.993 


10 


.34 1 


.984 


9 


.556 


.965 


8 


.755 


.924 


7 


.927 


.848 


14 


.053 


.999 


13 


.068 


.998 


12 


.1 5? 


.996 


1 1 


.257 


.991 


10 


.393 


.980 


9 


.596 


.956 


8 


.807 


.908 



10 .110 .997 



7 .951 .825 

14 .04? .999 

13 .085 .998 

12 .160 .995 

11 .279 .988 

10 .447 .974 

9 .654 .946 



,040 



,042 



,044 



.046 



,048 



.903 .888 

.078 .999 

.216 .996 

.514 .980 

.936 .862 

.092 .999 

.247 .994 



.563 .974 

.959 .832 

.109 .998 

.279 .993 

.612 .968 

.976 .802 

.045 .999 



.127 .998 

.313 .991 

.660 .961 

.986 .771 

.053 .999 

.146 .997 

.349 .989 



.068 



,070 



.075 



,080 



8 .035 .999 

7 .090 .996 
6 .207 .995 
5 .422 .983 
4 .741 .939 
3 .981 .782 

8 .041 .999 



7 .102 .998 

6 .229 .994 
5 .456 .980 
4 .777 .929 
3 .987 .762 

8 .058 .999 

7 .137 .997 



6 .290 .991 

5 .543 .970 
4 .854 .900 
9 .033 .999 
8 .080 .998 

7 .179 .995 

6 .357 .986 



120 



,125 



9 


.215 


.993 


8 


.382 


.982 


7 


.614 


.956 


6 


.854 


.893 


5 


.983 


.773 


12 


.031 


.999 


1 1 


.068 


.998 


10 


.139 


.996 


9 


.260 


.990 


8 


.444 


.977 


7 


.682 


.943 


6 


.899 


.869 


12 


.041 


.999 



11 .087 .998 



10 .171 .995 



,130 



9 


.308 


.987 


8 


.508 


.969 


7 


.746 


.928 


6 


.934 


.843 


12 


.053 


.999 


1 1 


.1 10 


.997 



.160 



,165 



8 .855 .890 

7 .96Q .801 

15 .025 .999 

13 .105 .997 

12 .191 .993 

11 .323 .985 

10 .502 .968 



,170 



9 


.710 


.934 


8 


.890 


.872 


7 


.981 


.778 


15 


.053 


.999 


14 


.067 


.998 


13 


.128 


.996 


12 


.226 


.991 


1 1 


.370 


.981 


10 


.559 


.961 


9 


.76^ 


.921 


8 


.921 


.852 


7 


.989 


.756 


15 


.04? 


.999 



14 .C8"5 .998 



76 



FINITE QUEUING TABLES 
X M D P X 



M 



D 



POPULATION 56 - 56 
F X M D F 



170 13 .154 .9Q5 

12 .26a .989 

11 .420 .976 

10 .615 .952 

9 .810 .906 

8 .945 .831 

.180 16 .033 .999 



.240 18 .102 .997 

17 .174 .993 

16 .277 .987 

15 .414 .975 

14 .576 .955 

13 .742 .923 

12 .380 .876 



.300 



20 .218 .990 

19 .328 .982 

18 .462 .969 

17 .612 .949 

16 .758 .919 

15 .876 .878 

14 .952 .829 



.360 



.380 



18 .87f .881 

17 .945 .839 

16 .981 .792 

29 .020 .999 

27 .067 .998 

26 .11? .996 

25 .179 .992 



190 



,200 



15 


.066 


.998 


1 1 


.961 


.814 


13 


.986 


.773 


24 


.269 


.986 


14 


.123 


.996 .250 21 


.023 


.999 .310 24 


.035 


.999 


23 


.36? 


.977 


13 


.215 


.992 


19 


.082 


.997 


23 


.064 


.998 


22 


.513 


.963 


12 


.349 


.982 


18 


.141 


.995 


22 


.111 


.996 


21 


.649 


.943 


1 1 


.525 


.964 


17 


.230 


.990 


21 


.181 


.992 


20 


.776 


.916 


10 


.720 


.930 


16 


.351 


.981 


20 


.277 


.986 


19 


.877 


.881 


9 


.887 


.873 


15 


.501 


.965 


19 


.400 


.976 


18 


.94U 


.841 


8 


.975 


.790 


14 


.666 


.940 


18 


.543 


.959 


17 


.979 


.797 


17 


.025 


.999 


13 


.818 


.901 


17 


.691 


.934 .400 30 


.02? 


.999 


15 


.098 


.997 


12 


.926 


.846 


16 


.823 


.900 


28 


.07? 


.998 


14 


.174 


.994 


1 1 


.980 


.784 


15 


.919 


.856 


27 


.120 


.995 


13 


.289 


.987 .260 21 


.035 


.999 


14 


.972 


.804 


26 


.188 


.992 


12 


.444 


.973 


20 


.065 


.998 .320 25 


.027 


.999 


25 


.280 


.985 


1 1 


.630 


.948 


19 


.114 


.996 


24 


.051 


.998 


24 


.394 


.976 


10 


.812 


.904 


18 


.189 


.992 


23 


.089 


.997 


23 


.524 


.962 


9 


.939 


.837 


17 


.295 


.985 


22 


.148 


.994 


22 


.657 


.942 


17 


.040 


.999 


16 


.431 


.973 


21 


.232 


.989 


21 


.780 


.915 


16 


.078 


.998 


15 


.589 


.953 


20 


.342 


.981 


20 


.678 


.882 


15 


.141 


.995 


14 


.748 


.922 


19 


.476 


.967 


19 


.943 


.844 


1 4 


.237 


.990 


13 


.878 


.877 


18 


.622 


.947 


18 


.97 8 


.802 


13 


.373 


.980 


12 


.958 


.820 


17 


.7o3 


.9ie .420 31 


.024 


.999 



.210 



12 .544 .961 
11 .729 .928 
10 .884 .874 

9 .970 .800 

13 .031 .999 
17 .062 .998 
16 .113 .996 



.270 



15 .194 .992 

14 .311 .985 

13 .465 .970 

12 .644 .945 

11 .814 .903 

10 .934 .841 

9 .987 .764 



.280 



22 .027 .999 

20 .092 .997 

19 .155 .994 

13 .246 .989 

17 .368 .979 

16 .516 .963 

15 .575 .936 



14 .819 .901 
13 .923 .851 
12 .977 .791 
23 .020 .999 
21 .073 .998 
20 .126 .995 
19 .204 .991 



,330 



16 


.876 


.879 


15 


.949 


.832 


14 


.984 


.78C 


26 


.021 


.999 


24 


.071 


.998 


23 


.120 


.995 


22 


.193 


.992 


21 


.291 


.985 


20 


.414 


.974 


19 


.555 


.957 


18 


.698 


.933 


17 


.825 


.900 


16 


.917 


.858 


15 


.970 


.809 



.440 



29 .077 .997 

28 .127 .995 

27 .^9a. .991 

26 .291 .985 

25 .406 .975 

24 .5 54 .960 

23 .665 .941 



22 .784 .915 

21 .879 .883 

20 .94? .846 

19 .977 .806 

32 .02"=; .999 

30 .08^ .997 

29 . 1 54 .995 



.220 



19 .024 .999 

17 .090 .997 

16 .158 .994 

15 .258 .988 

14 .394 .977 

13 .561 .958 

12 .736 .925 



15 .312 .984 
17 .447 .971 

16 .601 .951 
15 .753 .920 
14 .377 .878 
13 .954 ,824 
12 .988 .764 



.340 26 .031 .999 

25 .056 .993 

24 .097 .997 

23 .159 .993 

22 .245 .988 

21 .3d6 .979 

20 .469 .966 



28 .207 .990 

27 .30? .984 

26 .417 .974 

25 .54U .959 

24 .673 .940 

23 .789 .914 

22 .880 .883 



.230 



.240 



11 .881 .875 

10 .966 .807 

19 .038 .999 

18 .072 .998 

17 .127 .996 

16 .212 .991 

15 .332 .983 



14 .484 .968 

13 .655 .942 

12 .816 .902 

11 .930 .845 

10 .983 .775 

20 .029 .999 

19 .057 .998 



.290 



.300 



23 


.031 


.999 


19 


.632 


.945 


21 


.94? 


.848 


22 


.058 


.996 


18 


.767 


.917 


20 


.976 


.810 


21 


.101 


.996 


17 


.876 


.880 .460 33 


.027 


.999 


20 


.168 


.993 


16 


.947 


.836 


32 


.050 


.998 


19 


.262 


.987 


1 5 


.983 


.787 


31 


.086 


.997 


18 


.384 


.977 .3fcO 27 


.034 


.999 


30 


.140 


.994 


17 


.530 


.961 


26 


.061 


.998 


29 


.215 


.990 


16 


.683 


.936 


25 


.105 


.996 


28 


.31? 


.983 


15 


.821 


.900 


24 


.169 


.993 


27 


.427 


.973 


14 


.921 


.853 


23 


.257 


.987 


26 


.554 


.958 


13 


.974 


.798 


22 


.370 


.978 


25 


.680 


.939 


24 


.024 


.999 


21 


.501 


.964 


24 


.79^ 


.914 


22 


.081 


.997 


20 


.641 


.944 


23 


.885 


.884 


21 


.137 


.995 


19 


.772 


.916 


22 


.94? 


.850 



77 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 56 - S8 
F X M D F 



.460 21 .976 .814 

,480 34 .029 .999 

33 .053 .998 

32 .091 .997 

31 .147 .994 

30 .224 .989 

29 .322 .982 



.560 28 .994 .887 
27 .945 .858 



.580 



26 .975 .828 
39 .035 .999 
38 .065 .998 
37 .110 .996 
36 .175 .993 



.750 40 .755 .942 .012 1 .670 .978 

39 .848 .923 .013 2 .19=1 .998 

38 .914 .902 1 .721 .971 

37 .956 .880 .014 2 .22'? .997 

36 .980 .857 1 .769 .962 

.800 50 .025 .999 .015 2 .253 .997 

49 .059 .998 1 .815 .950 



28 .438 .972 

27 .564 .957 

26 .688 .938 

25 .798 .914 

24 .884 .885 

23 .942 .852 

22 .975 .817 



35 .261 .967 

34 .367 .980 

33 .486 .969 

32 .610 .954 

31 .725 .935 

30 .924 ,913 

29 .898 .887 



48 .118 .996 

47 ,209 .993 

46 .328 .986 

45 .466 .977 

44 .606 .965 

43 .734 .950 

42 .836 .932 



.016 



.017 



.018 



3 .070 .999 

2 .281 .996 

1 .856 .935 

3 .08' .999 

2 .311 .995 
1 .893 .917 

3 .094 .999 



.500 



35 .030 .999 

34 .056 .998 

33 .095 .997 

32 .153 .994 

31 .232 .989 

30 .331 .982 

29 .448 .971 



.600 



28 


.947 


.860 


41 


.908 


.913 




2 


.34? 


.994 


27 


.976 


,830 


40 


.954 


.892 




1 


.924 


.894 


40 


.036 


.999 


39 


.979 


.870 


.019 


3 


.107 


.999 


39 


.066 


.998 .850 52 


.027 


.999 




2 


.373 


.993 


38 


.1 13 


.996 


51 


.071 


.998 




1 


.94Q 


.868 


37 


.130 


.992 


50 


.151 


.996 


.020 


3 


.121 


.999 


36 


.268 


,987 


49 


,269 


.991 




2 


.405 


.991 



.520 



28 .573 .957 

27 .695 .937 

26 .803 .913 

25 .886 .885 

24 .942 .854 

23 .975 .820 

36 .032 .999 



35 .376 .979 
34 .496 .968 
33 .619 .953 
32 .733 .935 
31 .829 ,913 
30 .901 ,888 
29 ,949 .861 



48 .417 .983 

47 ,573 ,972 

46 ,716 ,958 

45 ,830 ,941 

44 ,908 ,922 

43 ,956 ,903 

42 ,981 ,882 



.021 



.022 



1 .968 .839 
3.15'=- .998 

2 .43S .990 

1 .981 .809 

3 .15? .998 

2 .471 .988 
1 .989 .777 



.540 



.560 



35 


.058 


.998 


28 


.977 


.832 


,900 


53 


.078 


.998 


.023 


3 


.169 


.998 


34 


.099 


.996 .650 43 


.026 


.999 




52 


.189 


.995 




2 


.504 


.985 


33 


,159 


.993 


42 


.051 


.998 




51 


.351 


.989 


.024 


3 


.187 


.997 


3? 


,239 


.989 


41 


.091 


.997 




50 


.535 


.979 




2 


.558 


.983 


31 


,340 


.981 


40 


.152 


.994 




49 


.704 


.965 


.025 


4 


.060 


.999 


30 


.458 


.971 


39 


.235 


.990 




48 


.835 


.949 




3 


.205 


.997 


29 


,582 


.956 


38 


.339 


.983 




47 


.919 


.931 




2 


.571 


.979 


28 


,703 


.937 


37 


.458 


.973 




46 


.965 


.912 


.026 


4 


.069 


.999 


27 


,808 


.913 


36 


.582 


.960 




45 


.987 


.893 




3 


.224 


.996 


26 


,889 


.886 


35 


.701 


.943 


.950 


55 


.060 


.999 




2 


.605 


.976 


25 


,943 


.855 


34 


.803 


.924 




54 


.233 


.995 


.028 


4 


.086 


.999 


24 


,975 


.823 


33 


.882 


.901 




53 


.480 


.986 




3 


.264 


.995 


37 


,033 


.999 


32 


.936 


.877 




52 


.711 


.973 




2 


.671 


.967 


36 


,061 


.998 


31 


.969 


.851 




51 


.867 


.957 


.030 


4 


.10'^ 


.999 


35 


,103 


.996 


30 


.986 


.824 




50 


.949 


.939 




3 


.307 


.993 


34 


,165 


.993 .700 45 


.035 


,999 




49 


.984 


.921 




2 


.755 


.955 


33 


,247 


.988 


44 


.069 


.998 










.032 


4 


.127 


.999 


32 


,350 


.981 


43 


.123 


.996 












3 


.353 


.991 


31 


,467 


.970 


42 


.200 


.992 












2 


.794 


.940 


30 


,591 


.955 


41 


.300 


.986 










.034 


5 


.049 


.999 


29 


.710 


.936 


40 


.418 


.978 












4 


.15? 


.998 


28 


.813 


.913 


39 


.546 


.966 


POPULATION 


58 




3 


.400 


.989 


27 


.891 


.886 


38 


.669 


.951 












2 


.847 


.921 


26 


.944 


.857 


37 


.778 


.933 


.003 


1 


.171 


.999 


.036 


5 


.061 


.999 


25 


.975 


.826 


36 


.863 


.913 


.005 


1 


.284 


.998 




4 


.179 


.997 


38 


.034 


.999 


35 


.924 


.890 


.006 


1 


.341 


.997 




3 


.449 


.986 


37 


.063 


.998 


34 


.962 


.866 


.007 


1 


.397 


.995 




2 


.89' 


.898 


36 


.107 


.996 


33 


.983 


.841 


.008 


1 


.453 


.994 


.038 


5 


.074 


.999 


35 


.170 


.993 .750 48 


.021 


.999 


.009 


2 


.103 


.999 




4 


.209 


.996 


34 


.254 


.988 


46 


.091 


.997 




1 


.509 


.991 




3 


.499 


.982 


33 


.358 


.980 


45 


.161 


.994 


.010 


2 


.125 


.999 




2 


.92« 


.871 


32 


.477 


.969 


44 


.257 


.989 




1 


.563 


.988 


.040 


5 


.089 


.999 


31 


.600 


.954 


43 


.376 


.982 


.01 1 


2 


.148 


.999 




4 


.259 


.995 


30 


.718 


.936 


42 


.507 


.972 




1 


.617 


.984 




3 


.550 


.977 


29 


.818 


.913 


41 


.638 


,958 


.012 


2 


.172 


.998 




2 


.955 


.842 



78 



FIMITE QUEUING TABLES 
X M D F X 



POPULATION 58 - 58 
F X M D F 



.042 



.044 



.046 



,048 



5 


.105 


.998 


u 


.272 


.994 


3 


.601 


.97 1 


2 


.974 


.810 


6 


.043 


.999 


5 


.123 


.998 


4 


.307 


.992 



.068 



.070 



3 .652 .963 

2 .986 .778 .075 
6 .052 .999 

5 .143 .997 

4 .344 .990 

3 .701 .955 

6 .062 .999 .080 



5 .165 .997 

4 .382 .988 

3 .749 .944 
.050 6 .073 .999 

5 .188 .996 

4 .422 .985 
3 .793 .932 



.052 6 .086 .999 

5 .213 .995 

4 .463 .982 

3 .833 .917 
.054 6 .100 .998 

5 .240 .994 

4 .505 .978 



.085 



.090 



5 


.465 


.979 


.115 


6 


.395 


.874 


.160 14 


.071 


.998 


4 


.787 


.928 


.120 


12 


.040 


.999 


13 


.1 53 


.996 


3 


.989 


.758 




1 1 


.085 


.996 


12 


.254 


.991 


3 


.049 


.999 




10 


.168 


.995 


1 1 


.38^ 


.981 


7 


.120 


.998 




9 


.303 


.988 


10 


.570 


.960 


6 


.260 


.992 




a 


.502 


.971 


9 


.774 


.919 


5 


.501 


.976 




7 


.740 


.931 


8 


.928 


.849 


4 


.820 


.916 




6 


.933 


.847 


.165 15 


.045 


.999 


8 


.070 


.999 


.125 


12 


.053 


.999 


lu 


.088 


.998 


7 


.159 


.996 




1 1 


.108 


.997 


13 


.161 


.995 


6 


.326 


.989 




10 


.205 


.993 


12 


.27U 


.988 


5 


.592 


.965 




9 


.358 


.984 


1 1 


.45^ 


.976 


4 


.891 


.863 




8 


.5t)9 


.962 


10 


.62" 


.951 


9 


.040 


.999 




7 


.801 


.914 


9 


.821 


.904 


3 


.096 


.998 




6 


.959 


.819 


8 


.951 


.828 


7 


.206 


.994 


.130 


13 


.032 


.999 


.170 16 


,02^ 


.999 


6 


.400 


.983 




12 


.068 


.998 


14 


.108 


.997 


5 


.681 


.950 




1 1 


.135 


.996 


13 


.19? 


.993 


4 


.941 


.845 




10 


.247 


.991 


12 


.31-7 


.985 


9 


.057 


.999 




9 


.416 


.979 


1 1 


.48-' 


.970 


8 


.127 


.997 




8 


.635 


.952 


10 


.684 


.940 


7 


.260 


.992 




7 


.853 


.894 


9 


.863 


.887 


6 


.478 


.976 




6 


.976 


.792 


8 


.968 


.807 


5 


.764 


.930 


.135 


13 


.042 


.999 


.180 16 


.04"^ 


.999 


4 


.971 


.804 




12 


.037 


.998 


15 


.087 


.998 


10 


.033 


.999 




1 1 


.166 


.995 


14 


.157 


.995 


9 


.077 


.998 




10 


.294 


.988 


13 


.264 


.989 


8 


.165 


.996 




9 


.477 


.973 


12 


.41 3 


.977 



3 .869 .901 
.056 7 .044 .999 

6 .115 .998 
5 .268 .993 

4 .547 .974 
3 .900 .833 

.058 7 .052 .999 



.095 



7 .320 .988 
6 .558 .967 
5 .836 .906 
4 .987 .764 

10 .046 .999 

9 .102 .998 

8 .208 .994 



140 



8 .699 .939 

7 .896 .872 

6 .987 .764 

13 .055 .999 

12 .lu9 .997 

11 .201 .993 

10 .344 .984 



11 .59-7 .955 

10 .785 .915 

9 .92-^ .850 

8 .987 .765 

.190 17 .0 56 .999 

16 .070 .998 

15 .12'^ .996 



6 .132 .997 

5 .298 .991 

4 .589 .968 
3 .926 .864 

.060 7 .060 .999 

6 .150 .997 

5 .329 .990 



.100 



7 .386 .983 

6 .639 .955 
5 .394 .378 

10 .062 .999 

9 .132 .997 

8 .258 .991 

7 .456 .977 



.145 



9 .539 .965 

8 .7d9 .925 

7 .930 .848 

14 .034 .999 

13 .070 .998 

12 .135 .996 

11 .241 .991 



14 .21« .991 

13 .34(5 ,982 

12 .516 .966 

11 .70? .935 

10 .667 .884 

9 .964 .812 

.200 18 .020 .999 



.062 



,064 



,066 



.068 



4 


.631 


.962 


6 


.716 


.940 


3 


.947 


.843 


5 


.936 


.846 


7 


.070 


.999 


.105 11 


.037 


.999 


6 


.169 


.996 


10 


.082 


.995 


5 


.362 


.988 


9 


.167 


.995 


4 


.672 


.955 


8 


.312 


.986 


3 


.963 


.822 


7 


.529 


.969 


7 


.081 


.999 


6 


.786 


.921 


6 


.190 


.995 


5 


.964 


.813 


5 


.395 


.985 


.110 11 


.050 


.999 


4 


.712 


.947 


10 


.106 


.997 


3 


.975 


.801 


9 


.208 


.993 


8 


.036 


.999 


8 


.372 


.984 


7 


.093 


.998 


7 


.602 


.959 


6 


.212 


.995 


6 


.846 


.899 


5 


.430 


.983 


5 


.982 


.780 


4 


.751 


.938 


.115 12 


.030 


.999 


3 


.984 


.779 


10 


.135 


.996 


8 


.043 


.999 


9 


.253 


.991 


7 


.106 


.998 


8 


.435 


.978 


6 


.235 


.994 


7 


.673 


.946 



il50 



.155 



il60 



10 .398 .980 

9 .601 .956 

8 .812 .908 

7 .954 .824 

14 .044 .999 

13 .088 .998 

12 .164 .995 



11 .284 .988 

10 .454 .974 

9 .662 .946 

8 .359 .890 

7 .972 .800 

15 .027 .999 

13 .109 .997 



12 .197 .993 

11 .331 .985 

10 .512 .968 

9 .720 .933 

8 .897 .870 

7 .983 .776 

15 .035 .999 



16 .104 .997 

15 .180 .993 

14 .29? .986 

13 .44? .974 

12 .62'^ .950 

11 .795 .911 

10 .925 .851 



9 .984 .774 

.210 19 .02? .999 

17 .084 .998 

16 .14c< .995 

15 .244 .990 

14 .376 .980 

13 .541 .962 



12 .71« .931 

11 .870 .882 

10 .961 .816 

.220 19 .056 .999 

18 .06« .998 

17 .121 .996 

16 .203 .992 



79 



FINITE QUEUING TABLES 



POPULATION 58 - 58 



M 



D 



M 



M 







M 



D 



,220 15 .319 .984 

14 .468 .970 

13 .640 .946 

12 .804 .908 

1 1 .924 .852 

10 .982 .782 

.230 20 .028 .999 



.280 16 .688 .936 

15 .325 .900 

14 .923 .854 

13 .976 .796 

.290 24 .025 .999 

22 .035 .997 

21 .142 .995 



.■^40 



24 .141 .994 

23 .220 .990 

22 .323 .983 

21 .448 .971 

20 .587 .954 

19 .724 .929 

18 .842 .896 



.440 



26 .550 .962 

25 .657 .944 

24 .77^ .920 

23 .667 .891 

22 .953 .857 

21 .971 .821 

20 .990 .783 



18 .098 .997 

17 .168 .994 

16 .268 .988 

15 .403 .977 

14 .564 .958 

13 .732 .927 

12 .873 .831 



20 .224 .990 

19 .334 .982 

13 .470 .969 
17 .620 .949 
16 .765 .91L 
15 .881 .878 

14 .954 .82t, 



.360 



17 .925 .855 

16 .972 .809 

28 .031 .999 

27 .056 .998 

26 .095 .997 

25 .154 .994 

24 .235 .989 



.460 34 .023 .999 

33 .051 .998 

32 .087 .997 

31 .140 .994 

30 .214 .990 

29 .300 .984 

28 .42^ .974 



,240 



1 1 .959 .820 

21 .022 .999 

19 .080 .998 

18 .138 .995 

17 .225 .990 

16 .344 .982 

15 .492 .967 



.300 



13 .988 .772 
24 .038 .999 
23 .068 .998 
22 .117 .996 
21 .188 .992 
20 .286 .986 
19 .410 .975 



23 .340 .981 

22 .466 .969 

21 .602 .951 

20 .735 .927 

19 .847 .894 

18 .926 .856 

17 .972 .812 



27 .545 .960 

26 .669 .942 

25 .780 ,918 

24 .87? .890 

23 .955 .853 

22 .971 .823 

21 .990 .787 



.250 



14 .658 .943 

13 .812 .905 

12 .923 .852 

1 1 .980 .788 

21 .034 .999 

20 .064 .998 

19 .113 .996 



,310 



13 .553 .958 
17 .701 .933 
16 .831 .899 
15 .924 .354 

14 .974 .802 
25 .030 .999 
24 .055 .998 



."^30 29 .035 .999 

23 .062 .993 
27 .104 .996 
26 .166 .993 
25 .250 .988 

24 .357 .980 
23 .483 .967 



.480 



35 .0 51 .999 

34 .055 .998 

33 .09^ .997 

32 .14q .994 

31 .225 .990 

30 .322 .983 

29 .4 55 .973 



18 .187 .992 

17 .291 .986 

16 .427 .974 

15 .584 .955 

14 .744 .924 

13 .876 .380 

12 .957 .823 



23 .095 .997 
22 .156 .994 
21 .242 .989 
20 .354 .980 
19 .439 .967 
18 .636 .946 
17 .774 .916 



22 .617 .949 

21 .745 .925 

20 .352 .893 

19 .928 .856 

18 .971 .815 

.400 31 .021 .999 

29 .068 .998 



28 .559 .959 

27 .631 .940 

26 .791 .917 

25 .877 .889 

24 .957 .858 

23 .97? .825 

22 .990 .790 



,260 22 .027 .999 

20 .092 .997 

19 .155 .994 

18 .246 .989 

17 .367 .980 

16 .514 .964 

15 .673 .939 



.320 



16 .884 .877 
15 .954 .830 
14 .936 .778 
26 .023 .999 
24 .077 .997 
23 .129 .995 
22 .204 .991 



28 .113 .996 

27 .178 .992 

26 .265 .987 

25 .374 .978 

24 .499 .965 

23 .631 .947 

22 .755 .923 



.500 36 .053 .999 

35 .059 .998 

34 .100 .996 

33 .153 .993 

32 .237 .989 

31 .355 .982 

30 .450 .972 



.270 



,280 



14 .819 .902 

13 .923 .853 

12 .978 .794 

23 .021 .999 

21 .074 .998 

20 .127 .995 

19 .206 .991 



18 .313 .934 

17 .449 .971 

16 .603 .951 

15 .755 .921 

14 .879 .879 

13 .956 .825 

12 .989 .765 



23 .032 .999 

22 .060 .998 

21 .104 .996 

20 .171 .993 

19 .266 .987 

18 .389 .977 

17 .535 .961 



.330 



.340 



21 


.304 


.984 


21 


.857 


.892 


20 


.429 


.973 


20 


.929 


.857 


19 


.571 


.956 


19 


.971 


.817 


13 


.713 


.931 .420 32 


.023 


.999 


17 


.837 


.897 


30 


.074 


.997 


16 


.924 


.855 


29 


.122 


.995 


15 


.973 


.806 


28 


.190 


.992 


26 


.034 


.999 


27 


.280 


.986 


25 


.062 


.998 


26 


.390 


.977 


24 


.106 


.996 


25 


.515 


.964 


23 


.170 


.993 


24 


.644 


.945 


22 


.260 


.987 


23 


.764 


.921 


21 


.374 


.978 


22 


.862 


.892 


20 


.508 


.964 


21 


.931 


.857 


19 


.650 


.943 


20 


.971 


.819 


18 


.783 


.914 .440 33 


.026 


.999 


17 


.887 


.877 


31 


.081 


.997 


16 


.953 


.832 


30 


.131 


.995 


15 


.985 


.783 


29 


.202 


.991 


27 


.027 


.999 


28 


.294 


.985 


25 


.086 


.997 


27 


.405 


.975 



,520 



29 .573 .957 

28 .69-« .939 

27 .799 .916 

26 .88? .889 

25 .959 .859 

24 .973 .826 

23 .990 .793 



37 .055 .999 

36 .063 .998 

35 .106 .996 

34 .167 .993 

33 .243 .988 

32 .349 .981 

31 .465 .970 



30 .587 .956 

29 .705 .937 

28 .808 .915 

27 .888 .888 

26 .94? .859 

25 .974 .828 

24 .99t) .795 



80 



FINITE QUEUING TABLES 
X M D F X 



,540 



.560 



,580 



,600 



.650 



39 


.020 


.999 


37 


.067 


.998 


36 


.112 


.996 


35 


.175 


.993 


34 


.259 


.988 


33 


.362 


.980 


32 


.479 


.969 


31 


.601 


.955 


30 


.717 


.936 


29 


.816 


.914 


28 


.893 


.888 


27 


.944 


.859 


26 


.975 


.829 


25 


.990 


.798 


40 


.021 


.999 


38 


.071 


.998 


37 


.1 18 


.996 


36 


.184 


.992 


35 


.270 


.987 


34 


.375 


.979 


33 


.493 


.968 


32 


.614 


.953 


31 


.728 


.935 


30 


.825 


.913 


29 


.898 


.887 


28 


.947 


.860 


27 


.976 


.830 


41 


.022 


.999 


39 


.075 


.998 


38 


.124 


.995 


37 


.192 


.992 


36 


.281 


.986 


35 


.389 


.978 


34 


.507 


.967 


33 


.628 


.952 


32 


.740 


.934 


31 


.633 


.912 


30 


.904 


.887 


29 


.950 


.860 


28 


.977 


.831 


42 


.023 


.999 


40 


.078 


.997 


39 


.129 


.995 


38 


.201 


.991 


37 


.293 


.986 


36 


.402 


.977 


35 


.521 


.966 


34 


.642 


.951 


33 


.751 


.933 


32 


.842 


.91 1 


31 


.909 


.886 


30 


.953 


.860 


29 


.978 


.833 


44 


.035 


.999 


43 


.065 


.998 


42 


.1 12 


.996 


41 


.180 


.993 


40 


.269 


.988 


39 


.376 


.980 


38 


.496 


.970 


37 


.618 


.956 


36 


.731 


.939 


35 


.825 


.920 



,650 



,700 



• 750 



.800 



.850 



.900 



M D F 

34 .897 .897 

33 .945 .873 

32 .973 .848 

31 .989 .822 

47 .025 .999 

45 .092 .997 

44 .155 .994 



POPULATION 58 - 60 
F X M D F 



,950 56 .216 .995 

55 .456 .988 

54 .688 .975 

53 .852 .960 

52 .941 .943 

51 .980 .925 



43 


.242 


.990 


POPULATION 


60 


42 


.349 


.983 










41 


.470 


.974 


.003 


1 


.177 


.999 


40 


.595 


.961 


.005 


1 


.294 


.998 


39 


.712 


.946 


.006 


1 


.353 


.997 


38 


.81 1 


.928 


.007 


1 


.41 1 


.995 


37 


.887 


.907 


.008 


1 


.469 


.993 


36 


.938 


.885 


.009 


2 


.110 


.999 


35 


.970 


.861 




1 


.526 


.990 


34 


.986 


.837 


.nio 


2 


.1 33 


.999 


49 


.034 


.999 




1 


.583 


.987 


43 


.070 


.998 


.01 1 


2 


.157 


.999 


47 


.128 


.996 




1 


.638 


.982 


46 


.21 1 


.992 


.012 


2 


.183 


.998 


45 


.318 


.986 




1 


.692 


.976 


44 


.442 


.978 


.01 3 


2 


.210 


.998 


43 


.573 


.966 




1 


.744 


.968 


42 


.696 


.952 


.014 


2 


.238 


.997 


41 


.801 


.935 




1 


.793 


.958 


40 


.830 


.915 


.015 


2 


.268 


.997 


39 


.935 


.895 




1 


.838 


.944 



38 .968 .873 
37 .986 .850 
51 .046 .999 
50 .095 .997 
49 .174 .994 
48 .281 .989 
47 .411 .982 



46 .550 .971 
45 .683 .956 
44 .795 .941 
43 .879 .923 
42 .935 .904 
41 .969 .883 
40 .986 .862 



,016 



,017 



,018 



,019 



,020 



53 


.058 


.999 




52 


.127 


.996 


.021 


51 


.234 


.992 




50 


.373 


.986 




49 


.526 


.976 


.022 


48 


.673 


.963 




47 


.795 


.948 


.023 


46 


.884 


.930 




45 


.941 


.912 


.024 


44 


.973 


.892 




43 


.989 


.872 




55 


.067 


.999 


.025 


54 


.167 


.996 




53 


.319 


.990 





52 .498 .981 



.026 



,950 



51 


.671 


.969 




50 


.809 


.954 




49 


.902 


.937 


.028 


48 


.956 


.919 




47 


.982 


.900 




57 


.054 


.999 


.030 



3 .077 .999 

2 .298 .996 

1 .879 .927 

3 .039 .999 

2 .330 .995 
1 .914 .905 

3 .102 .999 



2 .362 .993 

1 .942 .880 

3 .117 .999 

2 .395 .992 

1 .964 .851 

3 .132 .999 

2 .429 .990 



1 .979 .819 
3 .148 .998 

2 .463 .988 

1 .988 .786 

3 .165 .998 

2 .497 .986 

3 .183 .998 



2 .532 .984 
4 .059 .999 

3 .202 .997 

2 .567 .981 

4 .067 .999 

3 .222 .997 
2 .602 .977 



4 .076 .999 

3 .242 .996 

2 .636 .973 

4 .095 .999 

3 .285 .995 
2 .704 .963 

4 .117 .999 



,030 



.032 



.034 



,036 



.038 



.040 



.042 



.044 



.046 



.048 



,050 



.052 



.054 



.056 



.058 



3 .351 .993 



2 


.76R 


.949 


4 


.141 


.998 


3 


.379 


.990 


2 


.826 


.931 


5 


.056 


.999 


4 


.16R 


.997 


3 


.450 


.987 


2 


.877 


.909 


5 


.069 


.999 


4 


.197 


.996 


3 


.481 


.984 


2 


.918 


.883 



.060 



5 .CBU .999 



4 .228 .995 

3 .554 .979 

2 .949 .853 

5 .100 .999 

4 .26? .994 

3 .587 .973 
2 .970 .821 



5 .119 .998 

4 .29« .993 

3 .640 .966 
2 .984 .788 

6 .050 .999 

5 .1 59 .998 

4 .356 .991 



3 .69? .958 
6 .060 .999 

5 .161 .997 

4 .375 .989 
3 .741 .947 

6 .07? .999 

5 .185 .996 



4 .416 .986 

3 .78R .935 
6 .085 .999 

5 .210 .995 

4 .459 .983 
3 .850 .921 

6 .099 .998 



5 .258 .994 

4 .50? .979 

3 .868 .904 
7 .04U .999 

6 .115 .998 

5 .267 .993 

4 .546 .974 



3 .901 .886 
7 .05? .999 
6.15^ .998 
5 .298 .992 

4 .589 .969 
3 .928 .866 
7 .061 .999 



6 .150 .997 

5 .350 .990 

4 .653 .963 
3 .949 .844 

7 .071 .999 

6 .17" ,996 

5 .364 .988 



81 



FINITE QUEUING TABLES 
X M D F X 



.060 



.062 



,064 



,066 



4 .676 .956 



3 


.965 


.822 


7 


.082 


.999 


6 


.192 


.996 


5 


.399 


.985 


4 


.717 


.947 


3 


.977 


.800 


8 


.037 


.999 


7 


.095 


.998 


6 


.215 


.995 


5 


.435 


.983 


4 


.757 


.938 


3 


.985 


.777 



.100 



il05 



,1 10 



6 .768 .928 



5 


.959 


.824 


1 1 


.047 


.999 


10 


.100 


.998 


9 


.197 


.994 


8 


.357 


.985 


7 


.584 


.963 


6 


.834 


.906 


5 


.979 


.789 


1 1 


.062 


.999 


10 


.128 


.997 


9 


.243 


.992 


8 


.422 


.980 



.150 



.155 









POPULATION 


60 - 


- 60 


M 


D 


F 


X 


M 


D 


F 


10 


.457 


.975 


.200 


18 


.040 


.999 


9 


.666 


.946 




17 


.076 


.998 


8 


.862 


.890 




16 


.1 55 


.996 


7 


.973 


.800 




15 


.226 


.991 


15 


.028 


.999 




14 


.353 


.982 


13 


.111 


.997 




13 


.514 


.966 


12 


.200 


.993 




12 


.693 


.938 


1 1 


.335 


.985 




1 1 


.853 


.892 


10 


.517 


.968 




10 


.954 


.827 


9 


.726 


.933 


.210 


19 


.053 


.999 


3 


.901 


.870 




18 


.06? 


.998 


7 


.984 


.775 




17 


.11? 


.996 


15 


.056 


.999 




16 


.189 


.993 



8 .044 .999 



7 .659 .950 



14 .073 .998 



15 .30n .985 



,068 



,070 



.075 



,080 



.085 



.090 



.095 



.100 



7 


.108 


.998 


6 


.888 


.881 


13 


.137 


.996 


14 


.446 


.973 


6 


.239 


.994 


.115 12 


.038 


.999 


12 


.238 


.991 


13 


.617 


.951 


5 


.472 


.979 


1 1 


.082 


.998 


1 1 


.387 


.981 


12 


.786 


.915 


4 


.794 


.927 


10 


.162 


.995 


10 


.578 


.960 


1 1 


.914 


.861 


8 


.051 


.999 


9 


.295 


.989 


9 


.781 


.919 


10 


.979 


.791 


7 


.123 


.998 


8 


.490 


.973 


8 


.932 


.848 .220 20 


.026 


.999 


6 


.265 


.992 


7 


.730 


.935 


160 15 


.047 


.999 


18 


.09? 


.997 


5 


.509 


.976 


6 


.929 


.854 


14 


.091 


.998 


17 


.IS'' 


.994 


4 


.829 


.915 


.120 12 


.051 


.999 


13 


.166 


.995 


16 


.255 


.989 


8 


.059 


.999 


1 1 


.105 


.997 


12 


.281 


.988 


15 


.385 


.979 


7 


.139 


.997 


10 


.200 


.994 


1 1 


.441 


.976 


14 


.545 


.962 


6 


.292 


.991 


9 


.350 


.985 


10 


.638 


.950 


13 


.715 


.933 


5 


.547 


.972 


8 


.560 


.964 


9 


.830 


.903 


12 


.66? 


.888 


4 


.860 


.902 


7 


.795 


.918 


8 


.955 


.826 


1 1 


.954 


.828 


9 


.034 


.999 


6 


.957 


.825 .1 


165 16 


.029 


.999 .230 20 


.04 1 


.999 


8 


.083 


.998 


.125 13 


.031 


.999 


14 


.1 12 


.997 


19 


.076 


.998 


7 


.184 


.995 


1 1 


.133 


.99b 


13 


.198 


.993 


18 


.1 51 


.995 


6 


.365 


.986 


10 


.243 


.991 


12 


.326 


.985 


17 


.215 


.991 


5 


.641 


.958 


9 


.410 


.980 


1 1 


.498 


.969 


16 


.351 


.983 


4 


.922 


.865 


8 


.629 


.954 


10 


.695 


.939 


15 


.478 


.970 


9 


.049 


.999 


7 


.850 


.897 


9 


.872 


.885 


14 


.64-^ 


.946 


8 


.1 13 


.998 


6 


.976 


.796 


8 


.971 


.804 


13 


.800 


.910 


7 


.237 


.993 


.130 13 


.042 


.999 .1 


170 16 


.038 


.999 


12 


.917 


.859 


6 


.444 


.980 


12 


.086 


.998 


15 


.075 


.998 


1 1 


.97q 


.795 


5 


.731 


.940 


1 1 


.164 


.995 


14 


.137 


.996 .240 21 


.053 


.999 


4 


.962 


.823 


10 


.291 


.986 


13 


.235 


.991 


20 


.06? 


.998 


9 


.069 


.999 


9 


.473 


.974 


12 


.375 


.981 


19 


.109 


.996 


8 


.150 


.996 


8 


.696 


.941 


1 1 


.555 


.962 


18 


.181 


.993 


7 


.296 


.990 


7 


.895 


.875 


10 


.749 


.926 


17 


.283 


.987 


6 


.527 


.972 


6 


.987 


.767 


9 


.906 


.866 


16 


.416 


.976 


5 


.81 1 


.917 


.135 13 


.055 


.999 


8 


.982 


.782 


15 


.57^ 


.957 


4 


.983 


.780 


12 


.109 


.997 .180 17 


.031 


.999 


14 


.754 


.928 


10 


.041 


.999 


1 1 


.201 


.993 


16 


.061 


.998 


13 


.869 


.885 


9 


.093 


.998 


10 


.343 


.985 


15 


.113 


.997 


12 


.954 


.828 


8 


.192 


.995 


9 


.538 


.966 


14 


.196 


.993 


1 1 


.990 


.763 


7 


.362 


.986 


8 


.759 


.926 


13 


.318 


.985 .250 22 


.027 


.999 


6 


.61 1 


.961 


7 


.930 


.850 


12 


.480 


.971 


20 


.090 


.997 


5 


.877 


.890 


.140 14 


.034 


.999 


1 1 


.667 


.944 


19 


.151 


.994 


10 


.057 


.999 


13 


.070 


.998 


10 


.842 


.897 


18 


.240 


.989 


9 


.122 


.997 


12 


.135 


.996 


9 


.954 


.827 


17 


.360 


.981 


8 


.242 


.992 


1 1 


.241 


.991 .190 18 


.025 


.999 


16 


.506 


.966 


7 


.434 


.980 


10 


.399 


.980 


16 


.093 


.997 


15 


.666 


.942 


6 


.693 


.946 


9 


.602 


.957 


15 


.163 


.994 


14 


.81 ^ 


.906 


5 


.926 


.858 


8 


.814 


.909 


14 


.268 


.988 


13 


.920 


.857 


1 1 


.034 


.999 


7 


.956 


.825 


13 


.412 


.977 


12 


.977 


.798 


10 


.076 


.998 


.145 14 


.045 


.999 


12 


.588 


.957 .260 22 


.04 1 


.999 


9 


.157 


.996 


13 


.089 


.998 


1 1 


.769 


.920 


21 


.074 


.998 


8 


.297 


.989 


12 


.166 


.995 


10 


.910 


.863 


20 


.126 


.996 


7 


.508 


.972 


1 1 


.286 


.988 


9 


.980 


.787 


19 


.203 


.992 



82 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 60 - 60 
F X M D F 



.260 18 .310 .985 

17 .445 .973 

16 .598 .953 

15 .751 .923 

14 .876 .882 

13 .955 .828 

12 .989 .768 



,270 



23 .033 .999 

22 .060 .998 

21 .104 .997 

20 .171 .993 

19 .265 .988 

18 .388 .978 

17 .533 .962 



.320 26 .038 .999 .400 
25 .067 .998 
24 .112 .996 
23 .179 .993 
22 .270 .987 
21 .386 .978 
20 .521 .963 



19 .663 .942 

18 .793 .912 

17 .894 .875 

16 .957 .830 

15 .987 .780 

,330 ■>! .030 .999 .420 

26 .054 .998 



30 


.065 


.998 


.560 


36 


.286 


.986 


29 


.107 


.996 




34 


.509 


.967 


28 


.168 


.993 




32 


.758 


.934 


27 


.251 


.988 




30 


.90P 


.888 


26 


.354 


.980 




28 


.976 


.832 


25 


.475 


.969 


.580 


42 


.027 


.999 


24 


.605 


.952 




40 


.085 


.997 


23 


.729 


.930 




38 


.210 


.991 


22 


.836 


.902 




36 


.410 


.977 


21 


.914 


.868 




34 


.645 


.951 


20 


.962 


.831 




32 


.843 


.91 1 


19 


.986 


.791 




30 


.95^ 


.860 


33 


.023 


.999 


.600 


43 


.029 


.999 


31 


.072 


.998 




41 


.091 


.997 



,280 



16 .686 .938 

15 .824 .902 

14 .923 .856 

13 .976 .800 

24 .026 .999 

22 .086 .997 

21 .144 .995 



25 .093 .997 
24 .151 .994 
23 .231 .989 
22 .337 .982 
21 .463 .970 
20 .602 .952 
19 .738 .927 



,440 



29 .183 .992 

27 .375 .979 

25 .623 .949 

23 .845 .899 

21 .964 .831 

33 .047 .999 

31 .129 .995 



.650 



39 .222 .990 

37 .427 .976 

35 .66'^ .949 

33 .854 .909 

31 .957 .859 

45 .045 .999 

43 .1 55 .995 



20 .226 .990 
19 .336 .982 
18 .471 .969 
17 .621 .949 
16 .766 .919 
15 .883 .879 
14 .956 .829 



,340 



18 .853 .893 
17 .932 .852 
16 .976 .806 
28 .024 .999 
26 .076 .998 
25 .126 .995 
24 .197 .992 



,460 



29 


.286 


.986 


27 


.516 


.964 


25 


.758 


.925 


23 


.923 


.866 


21 


.937 


.795 


35 


.029 


.999 


33 


.088 


.997 



.700 



41 .303 .986 

39 .553 .967 

37 .758 .936 

35 .910 .894 

33 .977 .845 

48 .056 .999 

46 .119 .996 



,290 



13 .988 .773 

25 .021 .999 

23 .071 .998 

22 .120 .996 

21 .191 .992 

20 .290 .986 

19 .414 .975 



23 .292 .985 
22 .409 .975 
21 .543 .960 
20 .681 .939 
19 .805 .909 
18 .900 .873 
17 .958 .830 



.480 



31 .212 .991 

29 .414 .975 

27 .659 .945 

25 .863 .896 

23 .967 .831 

36 .032 .999 

34 .096 .997 



,750 



44 .286 .988 

42 .521 .970 

40 .751 .940 

38 .907 .901 

36 .976 .856 

50 .053 .999 

48 .171 .994 



.300 



18 .558 .959 

17 .705 .934 

16 .835 .899 

15 .926 .854 

14 .976 .802 

25 .032 .999 
.058 



.360 



24 



.998 



16 .987 .783 
29 .028 .999 
050 .998 
086 .997 
26 .140 .995 
25 .215 .990 
24 .313 .984 



28 
27 



,500 



32 .226 .990 

30 .433 .973 

28 .675 .942 

26 .871 .894 

24 .969 .832 

37 .036 .999 

35 .104 .996 



.800 



46 .381 .982 

44 .655 .960 

42 .840 .928 

40 .951 .888 

38 .990 .844 

53 .05A .999 

51 .141 .996 



23 .099 .997 

22 .161 .994 

21 .248 .989 

20 .361 .980 

19 .497 .966 

18 .643 .945 

17 .780 .916 



23 .432 .973 

22 .565 .957 

21 .698 .936 

20 .816 .907 

19 .905 .871 

18 .960 .830 

17 .986 .786 



,520 



33 .241 .989 

31 .452 .972 

29 .692 .940 

27 .879 .892 

25 .971 .832 

38 .039 .999 

36 .112 .996 



.850 



49 .360 .985 

47 .650 .964 

45 .845 .933 

43 .955 .895 

55 .047 .999 

53 .203 .994 

51 .481 .980 



.310 



16 .889 .877 

15 .956 .829 

14 .987 .777 

26 .025 .999 

24 .002 .997 

23 .135 .995 

22 .211 .991 



21 .313 .984 
20 .439 .973 
19 .581 .955 
18 .722 .930 
17 .844 .896 
16 .929 .853 
15 .976 .804 



.380 



.400 



■^0 .032 .999 

29 .057 .998 

28 .097 .997 

27 .154 .994 

26 .233 .989 

25 .334 .982 

24 .454 .971 



23 .585 .955 

22 .714 .933 

21 .826 .904 

20 .909 .870 

19 .961 .830 

18 .986 .789 

32 .020 .999 



,=;4o 



,560 



34 


.256 


.988 


49 


.759 


.954 


32 


.471 


.970 


47 


.924 


.920 


30 


.708 


.938 


45 


.984 


.882 


28 


.8t!7 


.890 


.900 57 


.C5P 


.999 


26 


.973 


.832 


55 


.28Q 


.992 


39 


.042 


.999 


53 


.656 


.972 


37 


.121 


.996 


51 


.88-' 


.942 


35 


.271 


.987 


U9 


.977 


.907 


33 


.490 


.969 


.950 59 


.048 


.999 


31 


.723 


.936 


57 


.45? 


.989 


29 


.894 


.889 


55 


.855 


.963 


27 


.974 


.832 


53 


.976 


.930 


40 


.046 


.999 








38 


.129 


.995 









83 



FINITE QUEUING TABLES 



POPULATION 62 - 62 
F X M D F 



.003 




.183 


.999 


.056 


5 


.329 


.990 


.095 


10 


.069 


.999 


.135 7 


.956 


.828 


.007 




.425 


.995 




4 


.632 


.964 




9 


.145 


.996 


.140 14 


.C4S 


.999 


.008 




.485 


.993 




3 


.950 


.846 




8 


.277 


.991 


13 


.089 


.998 


.009 




.544 


.990 


.058 


7 


.071 


.999 




7 


.483 


.976 


12 


.165 


.995 


.010 




.602 


.986 




6 


.171 


.996 




6 


.745 


.936 


1 1 


.285 


.989 


.01 1 




.659 


.981 




5 


.364 


.988 




5 


.951 


.837 


10 


.456 


.975 


.012 


2 


.194 


.998 




4 


.677 


.957 


.100 


1 1 


.043 


.999 


9 


.665 


.947 


.cm 


2 


.252 


.997 




3 


.967 


.823 




10 


.092 


.998 


8 


.863 


.892 


.015 


2 


.283 


.996 


.060 


7 


.083 


.999 




9 


.185 


.995 


7 


.974 


.802 


.016 


2 


.315 


.995 




6 


.193 


.996 




8 


.338 


.987 


.145 15 


.C23 


.999 


.017 


3 


.097 


.999 




5 


.400 


.986 




7 


.562 


.967 


13 


.11? 


.997 




1 


.932 


.892 




4 


.720 


.948 




6 


.816 


.91 4 


12 


.201 


.993 


.018 


3 


.1 1 1 


.999 




3 


..979 


.800 




5 


.975 


.801 


1 1 


.356 


.985 




1 


.957 


.864 


.062 


8 


.038 


.999 


.105 


1 1 


.058 


.999 


10 


.51 H 


.968 


.019 


3 


.127 


.999 




7 


.096 


.996 




10 


.120 


.997 


9 


.727 


.934 




1 


.975 


.832 




6 


.217 


.995 




9 


.231 


.993 


8 


.90-' 


.871 


,020 


3 


.143 


.998 




5 


.438 


.983 




8 


.404 


.982 


7 


.985 


.776 




1 


.986 


.798 




4 


.761 


.938 




7 


.640 


.955 


.15U 15 


.057 


.999 


.021 


3 


.160 


.998 




3 


.987 


.777 




6 


.876 


.889 


14 


.07U 


.998 


.023 


2 


.560 


.982 


.064 


8 


.045 


.999 




5 


.989 


.766 


13 


.1 5P 


.996 


.024 


4 


.066 


.999 




7 


.110 


.998 


.110 


12 


.036 


.999 


12 


.241 


.991 




2 


.596 


.978 




6 


.242 


.994 




1 1 


.077 


.998 


1 1 


.389 


.981 


.025 


4 


.075 


.999 




5 


.476 


.980 




10 


.154 


.996 


10 


.581 


.960 




2 


.632 


.974 




4 


.800 


.927 




9 


.282 


.990 


9 


.784 


.919 


.026 


4 


.084 


.999 


.066 


8 


.052 


.999 




8 


.474 


.975 


8 


.955 


.840 




2 


.667 


.969 




7 


.125 


.996 




7 


.715 


.940 


.155 15 


.C4R 


.999 


.028 


4 


.105 


.999 




6 


.269 


.992 




6 


.922 


.862 


14 


.09-^ 


.998 




2 


.736 


.958 




5 


.515 


.976 


.115 


12 


.048 


.999 


13 


.lb« 


.995 


.030 


3 


.356 


.992 




4 


.835 


.915 




1 1 


.100 


.998 


12 


.284 


.988 


.032 


5 


.051 


.999 


.068 


8 


.061 


.999 




10 


.192 


.994 


1 1 


.446 


.976 




3 


.407 


.989 




7 


.142 


.997 




9 


.339 


.986 


10 


.643 


.950 


.034 


5 


.063 


.999 




6 


.297 


.991 




8 


.547 


.967 


9 


.855 


.902 




3 


.460 


.986 




5 


.554 


.971 




7 


.784 


.923 


8 


.958 


.826 


.036 


4 


.216 


.996 




4 


.867 


.901 




6 


.954 


.832 


.160 16 


.031 


.999 




2 


.940 


.866 


.070 


8 


.070 


.999 


.120 


13 


.030 


.999 


14 


.115 


.997 


.038 


4 


.250 


.995 




7 


.160 


.996 




1 1 


.128 


.997 


13 


.20^ 


.993 




2 


.965 


.833 




6 


.327 


.989 




10 


.236 


.992 


12 


.3 5? 


.985 


.040 


4 


.287 


.993 




5 


.594 


.966 




9 


.400 


.981 


1 1 


.505 


.969 




2 


.981 


.799 




4 


.895 


.886 




8 


.619 


.957 


10 


.70^ 


.939 


.042 


6 


.047 


.999 


.075 


9 


.042 


.999 




7 


.843 


.902 


9 


.877 


.884 




4 


.325 


.992 




3 


.098 


.998 




6 


.974 


.802 


8 


.974 


.803 


.044 


5 


.155 


.997 




7 


.210 


.994 


.125 


13 


.040 


.999 


.165 16 


.040 


.999 




3 


.730 


.951 




6 


.406 


.984 




12 


.084 


.99P 


15 


.07 9 


.998 


.046 


5 


.180 


.997 




5 


.690 


.951 




1 1 


.160 


.99? 


14 


.141 


.996 




3 


.780 


.939 




4 


.947 


.845 




10 


.285 


.989 


13 


.241 


.991 


.048 


5 


.206 


.996 


.080 


9 


.060 


.999 




9 


.465 


.975 


12 


.383 


.981 




3 


.825 


.925 




8 


.133 


.997 




3 


.6b9 


.944 


1 1 


.564 


.962 


.050 


6 


.097 


.998 




7 


.269 


.992 




7 


.392 


.879 


10 


.758 


.925 




5 


.234 


.995 




6 


.490 


.977 




6 


.967 


.772 


9 


.91 ? 


.865 




4 


.496 


.980 




5 


.778 


.930 


.130 


13 


.054 


.999 


8 


.984 


.780 




3 


.865 


.908 




4 


.977 


.801 




12 


.107 


.997 


.170 17 


.025 


.999 


.052 


7 


.043 


.999 


.085 


10 


.036 


.999 




1 1 


.197 


.994 


15 


.096 


.997 




6 


.113 


.998 




9 


.083 


.998 




10 


.338 


.986 


14 


.171 


.994 




5 


.264 


.993 




8 


.174 


.996 




9 


.532 


.968 


13 


.283 


.988 




4 


.541 


.976 




7 


.335 


.988 




8 


.754 


.929 


12 


.457 


.976 




3 


.899 


.889 




6 


.577 


.966 




7 


.929 


.854 


1 1 


.623 


.953 


.054 


7 


.051 


.999 




5 


.853 


.903 


.135 


14 


.034 


.999 


10 


.808 


.91 1 




6 


.131 


.998 


.090 


10 


.050 


.999 




13 


.070 


.998 


9 


.959 


.844 




5 


.296 


.992 




9 


.111 


.998 




12 


.134 


.996 


.180 17 


.04? 


.999 




4 


.587 


.970 




8 


.222 


.993 




1 1 


.239 


.991 


16 


.080 


.998 




3 


.928 


.868 




7 


.407 


.983 




10 


.395 


.981 


15 


.143 


.995 


.056 


7 


.061 


.999 




6 


.664 


.953 




9 


.599 


.959 


14 


.240 


.991 




6 


.150 


.997 




5 


.91 1 


.872 




8 


.813 


.912 


13 


.376 


.981 



84 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 62 - 62 
F X M D F 



180 12 .548 .963 

11 .734 .931 

10 .889 .877 

9 .974 .803 

190 18 .035 .999 

17 .067 .998 

16 .120 .996 



15 .204 .992 

14 .323 .985 

13 .480 .971 

12 .659 .946 

11 .828 .903 

10 .943 .841 

9 .990 .763 



,240 



12 .975 .804 



.250 22 .039 .999 

21 .071 .996 

20 .122 .996 

19 .197 .992 

18 .301 .986 

17 .434 .974 



16 .587 .956 

15 .742 .927 

14 .870 .886 

13 .952 .833 

12 .988 .773 

.260 23 .032 .999 

22 .059 .998 



,300 19 .585 .955 
18 .726 .930 



,310 



,360 19 .945 .847 
18 .980 .805 



17 


.847 


.896 


16 


.932 


.853 


15 


.977 


.804 


27 


.021 


.999 


25 


.070 


.998 


24 


.1 17 


.996 


23 


.184 


.992 


22 


.276 


.987 


21 


.393 


.977 



20 .528 .963 
19 .669 .942 
18 .799 .912 



.380 



31 .050 .999 

30 .053 .998 

29 .090 .997 

28 .143 .994 

27 .217 .990 



26 .31? .984 

25 .427 .974 

24 .554 .960 

23 .683 .940 

22 .799 .914 

21 .889 .882 

20 .949 .845 



.200 



19 .029 .999 

17 .101 .997 

16 .172 .994 

15 .277 .988 

14 

13 

12 



.418 .977 
,587 .957 



,760 .923 



21 .102 .997 
20 .168 .994 
19 .260 .988 
18 .381 .979 
17 .525 .964 
16 .679 .940 
15 .819 .905 



.320 



17 .899 .874 

16 .960 .820 

15 .988 .780 

27 .032 .999 

26 .058 .998 

25 .098 .997 

24 .157 .994 



.400 



19 .981 .805 

32 .035 .999 

31 .061 .998 

30 .101 .996 

29 .159 .994 

28 .2 57 .989 

27 .356 .982 



,210 



1 1 .899 .872 

10 .974 .803 

20 .023 .999 

.084 .998 

.145 .995 

16 .236 .990 

15 .362 .981 



18 
17 



.270 



14 .921 .859 
13 .975 .804 
24 .026 .999 
22 .085 .997 
21 .142 .995 
20 .224 .990 
19 .333 .983 



23 .239 .989 

22 .346 .981 

21 .473 .969 

20 .612 .951 

19 .747 .926 

18 .859 .892 

17 .936 .851 



26 .453 .971 

25 .579 .956 

24 .704 .936 

23 .814 .910 

22 .898 .879 

21 .95? .843 

20 .985 .805 



.220 



14 .519 .966 
13 .690 .939 
12 .845 .897 
11 .946 .838 
10 .989 .767 
20 .038 .999 
19 .070 .998 



.280 



18 .467 .970 

17 .617 .951 

16 .763 .922 

15 .881 .882 

14 .955 .832 

13 .988 .776 

25 .021 .999 



.330 



16 .978 .805 

28 .026 .999 

26 .082 .997 

25 .133 .995 

24 .206 .991 

23 .303 .985 

22 .422 .975 



,420 



34 .02? .999 

32 .070 .998 

31 .114 .996 

30 .176 .993 

29 .258 .988 

28 .360 .980 

27 .478 .969 



,230 



,240 



18 .122 .996 

17 .201 .992 

16 .313 .985 

15 .456 .973 

14 .621 .951 

13 .783 .917 

1? .907 .867 



1 1 


.974 


.804 


21 


.031 


.999 


20 


.058 


.998 


19 


.102 


.997 


18 


.171 


.994 


17 


.269 


.988 


16 


.399 


.978 


15 


.555 


.961 


14 


.718 


.933 


13 


.858 


.891 


12 


.949 


.835 


1 1 


.989 


.770 


22 


.025 


.999 


20 


.086 


.997 


19 


.145 


.995 


18 


.231 


.990 


17 


.347 


.982 


16 


.492 


.968 


15 


.652 


.946 


14 


.802 


.91 1 



.290 



,300 



13 .915 .863 



23 .071 .996 
22 .120 .996 
21 .191 .992 
20 .289 .986 
19 .413 .976 
18 .556 .960 
17 .704 .935 



16 .834 .901 
15 .926 .856 
14 .976 .804 
25 .033 .999 
24 .059 .998 
23 .101 .997 
22 .163 .994 



21 .250 .989 

20 .363 .980 

19 .498 .967 

18 .644 .946 

17 .782 .917 

16 .890 .878 

15 .957 .830 



14 .988 .778 
26 .026 .999 
24 .084 .997 
23 .138 .995 
22 .215 .991 
21 .318 .984 
20 .444 .973 



.360 



21 .556 .959 

20 .693 .937 

19 .815 .908 

18 .906 .871 

17 .962 .828 

16 .988 .781 
.999 



.340 29 .021 



27 .068 .998 

26 .112 .996 

25 .177 .993 

24 .264 .987 

23 .373 .979 

22 .501 .966 

21 .637 .947 



20 


.766 


.921 


19 


.870 


.888 


18 


.941 


.849 


17 


.979 


.805 


30 


.025 


.999 


28 


.078 


.997 


27 


.127 


.995 


26 


.196 


.992 


25 


.288 


.986 


24 


.400 


.977 


23 


.529 


.963 


22 


.661 


.943 


21 


.783 


.917 


20 


.380 


.885 



.440 



.460 



26 


.603 


.953 


25 


.724 


.933 


24 


.628 


.907 


23 


.906 


.876 


22 


.956 


.842 


21 


.98^ 


.805 


35 


.026 


.999 


33 


.079 


.997 


32 


.126 


.995 


31 


.193 


.992 


30 


.279 


.986 


29 


.384 


.978 


28 


.503 


.966 


27 


.626 


.950 



26 .743 .929 

25 .84 1 .904 

24 .91"^ .874 

23 .959 .841 

22 .984 .806 

36 .050 .999 

35 .053 .998 



34 .088 .997 



33 


.140 


.995 


32 


.210 


.991 


31 


.300 


.985 


30 


.408 


.976 


29 


.527 


.964 


28 


.648 


.947 



85 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 62 - 6a 
F X M D F 



,460 27 .760 .926 

26 .853 .901 

25 .920 .871 

24 .962 .839 

23 .985 .806 

.480 37 .034 .999 

36 .059 .998 



.560 40 .088 .997 

39 .141 .995 

38 .212 .991 

37 .302 .985 

36 .408 .977 

35 .524 .966 

34 .640 .951 



.700 40 .866 .916 

39 .923 .896 

38 .960 .874 

37 .981 .852 

.750 52 .040 .999 

51 .078 .998 

50 .137 .996 



POPULATION 


64 


.003 1 .189 


.999 


.005 1 .314 


.998 


.006 1 .377 


.996 


.007 1 .439 


.995 



,008 



2 .100 .999 



,500 



35 .098 .997 

34 .153 .994 

33 .228 .990 

32 .321 .983 

31 .431 .974 

30 .550 .961 

29 .669 .944 



23 


.777 


.923 


27 


.865 


.898 


26 


.927 


.869 


25 


.966 


.838 


24 


.986 


.806 


39 


.021 


.999 


37 


.066 


.998 


36 


.108 


.996 


35 


.167 


.993 


34 


.246 


.989 


33 


.343 


.982 


32 


.454 


.972 


31 


.574 


.959 


30 


.690 


.941 



.520 



29 .793 .920 
28 .876 .895 
27 .933 .867 
26 .969 .837 
25 .987 .806 
40 .023 .999 
38 .073 .998 



.580 



,600 



33 .748 .933 
32 .838 .912 
31 .905 .888 
30 .950 .862 
29 .977 .834 
43 .032 .999 
42 .057 .998 



41 .096 .997 
ao .153 .994 
39 .228 .990 
38 .322 .984 
37 .430 .975 
36 .547 .964 
35 .662 .949 



34 .766 .931 
33 .851 .909 
32 .914 .886 
31 .955 .860 
30 .979 .833 
44 .035 .999 
43 .063 .998 



42 .105 .996 

41 .165 .994 

40 .244 .989 

39 .342 .983 

38 .453 .974 

37 .570 .962 

36 .683 .947 



.«00 



.850 



49 .220 .992 

48 .325 .986 

47 .446 .978 

46 .572 .968 

45 .691 .954 

44 .794 .938 

43 .873 .920 



42 .928 .901 

41 .963 .881 

40 .9b3 .860 

55 .027 .999 

54 .061 .998 

53 .118 .997 

52 .202 .993 



51 .313 .988 

50 .442 .980 

49 .576 .970 

48 .702 .957 

47 .807 .941 

46 .885 .924 

45 .938 .906 



44 .969 .886 

43 .986 .867 

57 .039 .999 

56 .090 .998 

55 .175 .995 

54 .294 .990 

53 .437 .983 



.009 



.010 



,01 1 



,0\d 



.013 



.014 



,015 



,016 



.017 



,013 



,019 



1 


.500 


.992 


2 


.124 


.999 


1 


.561 


.989 


2 


.149 


.999 


1 


.621 


.985 


2 


.17A 


.999 


1 


.679 


.979 


2 


.205 


.998 


1 


.75"=; 


.971 


2 


.25-^ 


.997 


1 


.789 


.961 


2 


.266 


.997 


1 


.658 


.947 


3 


.C7-7 


.999 


2 


.299 


.996 


1 


.88:> 


.929 


3 


.090 


.999 


2 


.35^ 


.995 


1 


.919 


.906 


3 


.105 


.999 


2 


.367 


.994 


1 


.948 


.873 


3 


.120 


.999 


2 


.403 


.992 


1 


.970 


.846 


3 


.1 57 


.999 


2 


.459 


.990 



1 .98'J .812 



,540 



,560 



37 .119 .996 

36 .182 .992 

35 .264 .988 

34 .364 .980 

33 .478 .970 

32 .596 .956 

31 .710 .939 



30 .809 .917 

29 .886 .893 

28 .939 .865 

27 .971 .836 

26 .988 .806 

41 .026 .999 

39 .081 .997 



38 .130 .995 

37 .197 .992 

36 .283 .986 

35 .386 .979 

34 .501 .968 

33 .619 .954 

32 .729 .936 



31 .824 .915 
30 .896 .890 
29 .945 .863 
28 .974 .835 
27 .989 .806 
42 .029 .999 
41 .052 .998 



.650 



.700 



35 .784 .928 

34 .865 .907 

33 .923 .834 

32 .960 .859 

"^1 .982 .833 

47 .031 .999 

46 .058 .998 



45 .099 .997 

44 .159 .994 

43 .239 .990 

42 .338 .984 

41 .451 .975 

40 .569 .964 

39 .633 .949 



38 .784 .932 

37 .864 .912 

36 .922 .890 

35 .959 .867 

■^4 .981 .843 

50 .025 .999 

48 .090 .997 



47 .150 .995 
46 .231 .991 
45 .333 .985 
an .449 .977 
43 .570 .965 
42 .686 .952 
41 .786 .935 



52 .585 .972 

51 .720 .960 

50 .828 .944 

49 .904 .928 

48 .952 .910 

47 .978 .891 

,900 59 .049 .999 



.950 



58 


.130 


.997 


57 


.261 


.993 


56 


.428 


.986 


55 


.602 


.975 


54 


.752 


.962 


53 


.863 


.947 


52 


.932 


.931 


51 


.970 


.914 


50 


.938 


.896 


61 


.044 


.999 


60 


.185 


.996 


59 


.409 


.990 


53 


.641 


.979 


57 


.818 


.966 



56 .922 .950 
55 .972 .934 



.020 



.021 



.022 



.023 



.024 



.025 



.026 



.028 



.030 



.032 



3 


.154 


.998 


2 


.47^ 


.988 


3 


.173 


.998 


2 


.513 


.986 


3 


.193 


.997 


2 


.550 


.983 


4 


.064 


.999 


3 


.213 


.997 


2 


.587 


.980 


4 


.073 


.999 


3 


.255 


.996 


2 


.625 


.976 


4 


.08 3 


.999 


3 


.L57 


.996 


2 


.661 


.971 


4 


.09"^ 


.999 


3 


.281 


.995 


2 


.69R 


.966 


4 


.116 


.999 


3 


.329 


.993 


2 


.767 


.952 


4 


.14? 


.993 


3 


.381 


.991 


2 


.850 


.933 


5 


.C57 


.999 


4 


.171 


.997 


3 


.455 


.988 


2 


.884 


.910 



86 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 61 - 64 
F X M D F 



,034 



,036 



.038 



.040 



.042 



.044 



.046 



5 .071 .999 



4 


.202 


.997 


3 


.491 


.984 


? 


.927 


.881 


5 


.088 


.999 


4 


.236 


.995 


3 


.547 


.979 


? 


.957 


.848 


5 


.106 


.999 


4 


.273 


.994 


3 


.604 


.973 


2 


.977 


.813 


5 


.126 


.998 


4 


.312 


.993 


3 


.661 


.965 


2 


.989 


.777 


6 


.055 


.999 


5 


.148 


.998 


4 


.353 


.990 


3 


.716 


.955 


6 


.066 


.999 


5 


.173 


.997 


4 


.397 


.988 


3 


.768 


.944 


6 


.079 


.999 


5 


.200 


.996 


4 


.441 


.985 


3 


.816 


.929 



.0'S2 



.064 



.066 



.068 



.070 



.075 



7.110 .996 

6 .243 .994 

5 .478 .980 
4 .802 .928 
8 .053 ,999 

7 .126 .998 

6 .271 .993 



5 .518 .976 

4 .839 .915 
8 .062 .999 
7 .144 .997 

6 .300 .991 

5 .559 .972 
4 .871 .901 



8 


.072 


.999 


7 


.162 


.996 


6 


.331 


.989 


5 


.599 


.967 


4 


.900 


.885 


8 


.033 


.999 


7 


.183 


.996 


6 


.363 


.987 


5 


.640 


.961 


4 


.924 


.869 


9 


.050 


.999 


8 


.115 


.998 


7 


.239 


.993 



.105 10 .144 .996 



1 10 



, 1 45 



9 .784 .921 



^115 



9 


.267 


.991 


8 


.955 


.850 


8 


.454 


.978 


.150 15 


.04O 


.999 


7 


.694 


.946 


14 


.C94 


.998 


6 


.91 1 


.871 


13 


.169 


.995 


12 


.045 


.999 


12 


.265 


.989 


1 1 


.094 


.998 


1 1 


.447 


.976 


10 


.182 


.995 


10 


.645 


.951 


9 


.324 


.988 


9 


.85-7 


.904 


8 


.523 


.970 


8 


.959 


.827 


7 


.763 


.929 


.155 16 


.051 


.999 


6 


.948 


.841 


14 


.117 


.997 


12 


.061 


.999 


13 


.205 


.993 


1 1 


.122 


.997 


12 


.335 


.985 



10 


.226 


.993 


9 


.386 


.983 


8 


.603 


.960 


7 


.832 


.908 


6 


.972 


.810 



120 13 .038 .999 
12 .080 .998 



1 1 


.154 


.996 


10 


.275 


.990 


9 


.453 


.977 


8 


.676 


.948 


7 


.885 


.885 


6 


.986 


.779 



160 



6 .448 .981 



125 13 .052 .999 



.165 



11 .508 .970 

10 .706 .939 

9 .881 .885 

8 .975 .803 

16 .04 1 .999 

15 .079 .998 

14 .144 .996 



13 .244 .991 

12 .387 .981 

11 .569 .962 

10 .764 .926 

9 .916 .864 

8 .986 .779 

17 .026 .999 



.048 



.050 



6 .094 .999 
5 .228 .995 

4 .487 .981 
3 .859 .913 

7 .042 .999 
6.110 .998 

5 .259 .994 



.080 



5 .737 .942 

4 .965 .824 
9 .071 .999 
8 .154 ,996 
7 .303 .990 

6 .537 .972 

5 .822 .917 



12 ,103 .997 

11 .191 .994 

10 .329 .987 

9 .522 .970 

8 .745 .933 

7 .925 .860 

.130 14 .033 .999 



15 .099 .997 

14 .175 .994 

13 .288 .988 

.44-^ .976 

.650 .953 

10 .815 .910 

9 .943 .843 



12 
1 1 



.052 



,054 



,056 



.058 



,060 



.062 



.534 .977 

.895 .894 

.050 .999 

.128 .998 



.085 



.292 

.581 



,992 
,972 



.926 .873 



.060 .999 

.148 .997 

.326 .991 

.628 .966 

.949 .850 

.071 .999 

.169 .997 



5 .362 .989 
4 .675 .958 
.967 .826 
.083 .999 
.192 .996 
.399 .986 
.719 .950 



3 .979 .802 

7 .096 .998 
6 .217 .995 
5 .438 .983 

4 .762 .940 
3 .987 .778 

8 ,045 .999 



.090 



.095 



.100 



4 

10 

9 

8 

7 
6 
5 



.986 .778 
.044 .999 
.098 .998 
.201 .995 
.375 .986 
.628 .960 
.890 .887 



10 .061 .999 
9 .131 .997 
8 .255 .992 
7 .452 .979 
6 .714 .944 
5 .939 .352 

11 .038 .999 



10 .084 .998 
9 .170 .996 
8 .316 .989 
7 .533 ,971 
6 .793 .924 
5 .969 .815 

11 .053 .999 



10 .111 .997 

9 .215 .994 

8 .382 .984 

7 .615 .960 

6 .859 .899 

5 .986 .778 



135 



.140 



.145 



.105 12 .033 .999 



12 


.130 


.996 


1 1 


.234 


.992 


10 


.388 


.982 


9 


.591 


.961 


a 


.807 


.915 


7 


.954 


.833 


14 


.044 


.999 


13 


.087 


.998 


12 


.162 


.995 


1 1 


.281 


.989 


10 


.450 


.977 


9 


.660 


.949 


8 


.860 


.895 


7 


.974 


.806 


15 


.028 


.999 


13 


,111 


.997 


12 


.199 


.993 


1 1 


.333 


.986 


10 


.515 


.970 


9 


.725 


.936 


8 


.903 


.874 


7 


.985 


.779 


15 


.037 


.999 


14 


.074 


.998 


13 


.138 


.996 


12 


.240 


.991 


1 1 


.383 


.981 


10 


.580 


.961 



.170 



.180 



.190 



.200 



17 .054 .999 

16 .067 .998 

15 .122 .996 

14 .209 .992 

13 .355 .985 

12 .501 .970 

11 .689 .942 



10 .860 .893 

9 .96^ .822 

18 .029 .999 

16 .104 .997 

15 .179 .994 

14 .289 .988 

13 .458 .976 



12 .617 .954 

11 .795 .916 

10 .926 .857 

9 .966 .779 

19 .024 .999 

17 .088 .998 

16 .153 .995 



15 .250 .990 

14 .383 .980 

13 .549 .963 

12 .727 .933 

11 .878 .885 

10 .966 .818 

19 .040 .999 



87 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 6U - 64 
F X M D F 



,200 18 .074 .998 

17 .130 .996 

16 .215 .992 

15 .334 .984 

14 .486 .970 

13 .658 .946 

12 .821 .907 



.260 21 .138 .995 

20 .217 .991 

19 .324 .984 

18 .457 .972 

17 .606 .953 

16 .754 .925 

15 .875 .886 



.310 19 .751 



.926 



.320 



18 .862 .892 

17 .938 .851 

16 .979 .805 

28 .028 .999 

26 .085 .997 

25 .138 .995 



.380 21 .93U .858 
20 .973 .821 



.400 



33 .053 .999 

32 .058 .998 

31 .09*^ .997 

30 .150 .994 

29 .224 .990 



,210 



1 1 .935 .850 

10 .986 .780 

20 .033 .999 

19 .063 .998 

18 .111 .997 

17 .184 .993 

16 .290 ,987 



.270 



14 .952 .836 

13 .987 .780 

24 .039 .999 

23 .070 .998 

22 .117 .996 

21 .187 .993 

20 .284 .987 



24 .212 .991 

■>1> .309 .985 

22 .429 .974 

21 .563 .959 

20 .699 .937 

19 .820 .907 

18 .910 .870 



28 .319 .984 

27 ,451 .974 

26 .555 .960 

25 .679 .942 

24 .791 .918 

23 .880 .889 

22 .941 .855 



,220 



15 .428 .976 

14 .592 .957 

13 .758 .925 

12 .893 .877 

1 1 .969 .815 

21 .028 .999 

19 .094 .997 



18 .158 .994 

17 .251 .989 

16 .376 .980 

15 .530 .965 

14 .694 .939 

13 .842 .899 

12 .942 .845 



.280 



19 .406 .977 

18 .549 .961 

17 .697 .937 

16 .829 .904 

15 .924 .860 

14 .975 .808 

25 .033 .999 



24 .059 .998 
23 .100 .997 
22 .161 .994 
21 .247 .989 
20 .360 .981 
19 .494 .968 
18 .640 .948 



.330 



17 .964 .827 

16 .989 .780 

29 .023 .999 

27 .072 .998 

26 .118 .996 

25 .183 .993 

24 .272 .987 



23 .383 .979 

22 .511 .966 

21 .647 .947 

20 .774 .921 

19 .876 .887 

18 .944 .847 

17 .980 .803 



.420 



21 


.976 


.319 


35 


.022 


.999 


33 


.067 


.998 


32 


.1 in 


.996 


31 


.169 


.993 


30 


.248 


.989 


29 


.346 


.982 


28 


.461 


.971 


27 


.58^ 


.957 


26 


.704 


.938 


25 


.8in 


.913 


24 


.89r> 


.885 


;^3 


.947 


.852 


22 


.978 


.817 



.230 



1 1 .986 .780 

22 .023 .999 

20 .079 .998 

19 .135 .995 

18 .217 .991 

17 .330 .984 

16 .471 .971 



.290 



17 .779 .919 

16 .888 .880 

15 .957 .833 

14 .988 .780 

26 .027 .999 

24 .035 .997 

23 .138 .995 



.340 29 .034 .999 
28 .060 .998 
27 .100 .997 
26 .158 .994 
25 .238 .989 
24 .340 .982 
23 .462 .971 



.440 



36 .026 .999 

34 .078 .997 

33 .124 .995 

32 .188 .992 

31 .272 .987 

30 .374 .979 

29 .490 .968 



.240 



15 .631 .950 

14 .785 .917 

13 .905 .871 

12 .971 .812 

22 .037 .999 

21 .067 .998 

20 .115 .996 



22 .215 .991 

21 .317 .984 

20 .443 .973 

19 .584 .956 

18 .725 .932 

17 .847 .898 

16 .932 .855 



22 .595 .955 

21 .725 .932 

20 .837 .902 

19 .919 .866 

18 .967 .825 

17 .990 .781 

•360 31 .023 .999 



.460 



28 .611 .953 

27 .727 .934 

26 .827 .909 

25 .903 .881 

24 .95? .349 

23 .980 .816 

37 .050 .999 



19 .187 .993 

18 .288 .987 

17 .418 .976 

16 .570 .959 

15 .726 .932 

14 .860 .892 

13 .947 .840 



,300 



15 .977 .806 
27 .022 .999 
25 .071 .998 
24 .118 .996 
23 .186 .993 
22 .278 .987 
21 .394 .978 



29 .071 .998 

28 .116 .996 

27 .180 .993 

26 .265 .988 

25 .371 .980 

24 .494 .967 

23 .624 .950 



36 .05-^ .998 

35 .088 .997 

34 .1 5Q .995 

33 .208 .991 

32 .296 .985 

31 .401 .977 

30 .518 .965 



.250 



12 .987 .780 

23 .031 .999 

22 .056 .998 

21 .098 .997 

20 .161 .994 

19 .250 .989 

18 .368 .981 



.310 



20 .529 .963 

19 .671 .942 

18 .800 .913 

17 .900 .875 

16 .961 .830 

15 .989 .780 

27 .034 .999 



.380 



22 .749 .927 

21 .853 .897 

20 .927 .862 

19 .970 .823 

32 .028 .999 

30 .083 .997 

29 .133 .995 



.480 



29 .658 .950 

28 .750 .930 

27 .843 .905 

26 .91"^ .877 

25 .958 .847 

24 .982 .814 

38 .055 .999 



,260 



17 .511 .966 

16 .666 .944 

15 .809 .910 

14 .915 .865 

13 .973 .810 

24 .025 .999 

22 .083 .998 



26 .060 .998 

25 .101 .997 

24 .160 .994 

23 .243 .989 

22 .350 .981 

21 .478 .969 

20 .616 .951 



28 .202 .991 

27 .292 .986 

26 .401 .977 

25 .525 .964 

24 .652 .946 

23 .771 .922 

22 .867 .893 



37 .061 .998 

36 .100 .997 

35 .155 .994 

34 .229 .990 

33 .321 .984 

32 .429 .975 

31 .546 .962 



88 



FINITE QUEUING TABLES 
X M D F X 



P0PULATI0»>1 6U - 66 
F X H F 



.480 30 .664 .946 

29 .771 .926 

28 .858 .902 

27 .922 .874 

26 .962 .844 

25 .984 .813 

,500 40 .022 .999 



.530 45 .020 .999 
43 .066 .998 
42 .108 .996 
41 .168 .993 
40 .246 .989 
39 .342 .983 
33 .450 .974 



.■^50 47 .632 .962 .012 2 .21-=; .998 

46 .742 .949 1 .75-7 .969 

45 .833 .932 .013 2 .2-+° .997 

44 .900 .9lu 1 .81'^ .957 

43 .945 .894 .014 2 .251 .997 

42 .973 .874 1 .£59 .941 

41 .988 .85'i .015 3 .08^ .999 



38 .069 .998 
37 .112 .996 
36 .172 .993 
35 .250 .989 
34 .346 .982 
33 .457 .972 
32 .57U .959 



31 .688 .943 

30 .791 .922 

29 .872 .898 

28 .930 .871 

27 .966 .842 

26 .986 .812 

,520 al .026 .999 



39 .078 .997 

38 .125 .995 

37 .189 .992 

36 .272 .937 

35 .372 .980 

34 .484 .970 

33 .601 .956 



32 .712 .939 

31 .809 .918 

30 .885 .895 

29 .938 .868 

28 .970 .840 

27 .983 .811 

.540 42 .030 .999 



41 .052 .998 

40 .088 .997 

39 .139 .995 

38 .207 .991 

37 .295 .986 

36 .398 .978 

35 .511 .967 



34 .627 .953 

33 .735 .936 

32 .827 .915 

31 .897 .891 

30 .945 .865 

29 .974 .838 

23 .989 .310 



.560 



U3 .03^ .999 

42 .059 .998 

41 .098 .997 

40 .153 .994 

39 .226 .990 

38 .318 .984 

37 .424 .976 



37 .566 .962 
36 .678 .947 
35 .778 .929 
34 .860 .908 
33 .919 .885 
32 .958 .860 
31 .930 .834 



.600 46 .023 .999 

44 .073 .996 

43 .119 .996 

42 .184 .993 

41 .266 .986 

40 .366 .931 

39 .477 .972 



33 .593 .960 
37 .703 .944 
36 .799 .926 
35 .375 .905 

34 .929 .882 
33 .964 .358 
32 .933 .833 



.650 49 .021 .999 
47 .072 .998 
46 .119 .996 
45 .186 .993 
44 .271 .986 
43 .374 .982 
42 .487 .972 



41 .603 .960 
40 .713 .945 
39 .807 .928 
38 .880 .906 
37 .932 .387 
36 .965 .364 
35 .934 .341 



.700 51 .036 .999 

50 .068 .996 

49 .116 .996 

48 .185 .993 

47 .274 .989 

46 .380 .982 

45 .498 .973 



44 .616 .961 

43 .726 .947 

42 .318 .930 

41 .888 .91 1 

40 .937 .891 

39 .968 .870 

38 .985 .846 



.800 56 .048 .999 
55 .096 .997 



2 .315 .996 
1 .901 .920 





54 


.169 


.995 


.016 


3 


.090 


.999 




53 


.269 


.990 




2 


.35^^ 


.994 




52 


.391 


.964 




1 


.956 


.894 




51 


.523 


.975 


.017 


3 


.113 


.999 




50 


.652 


.963 




2 


.35-' 


.993 




49 


.764 


.949 




1 


.965 


.362 




48 


.353 


.933 


.016 


3 


.1 50 


.999 




47 


.916 


.916 




2 


.42" 


.991 




46 


.956 


.897 




1 


.979 


.828 




45 


.979 


.878 


.019 


3 


.147 


.993 


.850 


59 


.031 


.999 




2 


.461 


.990 




58 


.075 


.998 




1 


.99'" 


.791 




57 


.150 


.996 


.020 


3 


.lt6 


.993 




56 


.259 


.992 




2 


.49Q 


.987 




55 


.394 


.985 


.021 


3 


.136 


.993 




54 


.541 


.976 




2 


.55° 


.985 




53 


.679 


.965 


.022 


u 


.061 


.999 




52 


.795 


.951 




3 


.20^ 


.997 




51 


.881 


.935 




2 


.577 


.981 




50 


.937 


.918 


.023 


4 


.071 


.999 




49 


.970 


.9C0 




3 


.229 


.997 




48 


.987 


.832 




2 


.ei-^ 


.977 


.900 


61 


.042 


.999 


.02- 


- 


.050 


.999 




60 


.1 14 


.997 




T 


.25? 


.996 




59 


.235 


.994 




2 


.653 


.973 




58 


.395 


.987 


.025 


4 


.091 


.999 




57 


.567 


.978 




3 


.27A 


.995 




56 


.722 


.966 




2 


.691 


.968 




55 


.840 


.952 


.025 


4 


.10? 


.999 




54 


.918 


.936 




3 


.30-' 


.994 




53 


.963 


.92C 




2 


.72n 


.961 




52 


.935 


.903 


.028 


u 


.12-' 


.998 


.950 


63 


.039 


.999 




3 


.35? 


.99? 




62 


.171 


.997 




2 


.797 


.945 




61 


.387 


.991 


.030 


u 


.15=; 


.998 




60 


.618 


.981 




3 


.40"' 


.990 




59 


.801 


.968 




2 


.850 


.924 




58 


.912 


.953 


.032 


5 


.C6U 


.999 




57 


.967 


.937 




4 


.^b-' 


.997 




56 


.939 


.921 




3 


.46a 


.gs-^ 


POPUl 


ATION 


66 




2 


.909 


.397 










.034 


5 


.080 


.999 


.003 


1 


.195 


.999 




4 


.221 


.996 


.005 


1 


.324 


.998 




3 


.52? 


.982 


.006 


1 


.339 


.996 




2 


.9-^6 


.365 


.007 


1 


.ii53 


.954 


.036 


5 


.090 


.999 



.008 



2 .106 .999 



a .257 .995 



36 .539 .965 
35 .653 .950 
34 ,757 .933 
33 .844 .912 
32 .909 .888 
31 .952 .863 
30 .977 .836 



.750 



54 


.030 


.999 




1 


.516 


.992 




3 


.581 


.976 


53 


.060 


.998 


.009 


2 


.131 


.999 




2 


.971 


.829 


52 


.109 


.997 




1 


.578 


.988 


.033 


5 


.110 


.998 


51 


.130 


.994 


.010 


2 


.1 58 


.999 




4 


.297 


.993 


50 


.273 


.989 




1 


.640 


.984 




3 


.6"'^ 


.969 


49 


.336 


.983 


.01 1 


2 


.136 


.998 




2 


.936 


.792 


48 


.509 


.974 




1 


.699 


.977 


.040 


6 


.051 


.999 



89 



FINITE QUEUING TABLES 

X M D F X 
.040 



.042 



POPULATION 66 - 66 

F X M D F 



.044 



,046 



,048 



,050 



,052 



,054 



,056 



,058 



,060 



,062 



,064 



,066 



5 


.140 


.998 


.066 


4 


.903 


.886 


.115 13 


.036 


.999 


155 15 


.080 


.998 


4 


.339 


.991 


.068 


8 


.084 


.999 


12 


.075 


.998 


14 


. 144 


.996 


3 


.697 


.960 




7 


.185 


.996 


1 1 


.146 


.996 


13 


.245 


.991 


6 


.062 


.999 




6 


.367 


.986 


10 


.262 


.991 


12 


.388 


.981 


5 


.165 


.997 




5 


.645 


.961 


9 


.436 


.979 


1 1 


.571 


.962 


4 


.382 


.989 




4 


.927 


.868 


8 


.659 


.952 


10 


.765 


.927 


3 


.752 


.949 


.070 


9 


.041 


.999 


7 


.874 


.892 


9 


.918 


.865 


6 


.075 


.999 




8 


.097 


.998 


6 


.984 


.788 


8 


.986 


.780 


5 


.192 


.996 




7 


.207 


.995 


.120 13 


.049 


.999 


160 17 


.027 


.999 


4 


.428 


.986 




6 


.401 


.985 


12 


.098 


.998 


15 


.100 


.997 


3 


.803 


.935 




5 


.686 


.954 


1 1 


.183 


.995 


14 


.176 


.994 


6 


.090 


.999 




4 


.947 


.850 


10 


.317 


.988 


13 


.290 


.988 


5 


.221 


.995 


.075 


9 


.060 


.999 


9 


.507 


.972 


12 


.446 


.976 


4 


.476 


.983 




8 


.133 


.997 


8 


-.732 


.937 


1 1 


.654 


.953 


3 


.849 


.919 




7 


.269 


.992 


7 


.919 


.867 


10 


.818 


.911 


6 


.107 


.998 




6 


.491 


.978 


.125 14 


.031 


.999 


9 


.945 


.844 


5 


.252 


.994 




5 


.781 


.932 


12 


.125 


.997 


165 17 


.055 


.999 


4 


.524 


.979 




4 


.979 


.803 


1 1 


.226 


.993 


16 


.069 


.998 


3 


.889 


.900 


.080 


10 


.037 


.999 


10 


.377 


.983 


15 


.124 


.996 


7 


.048 


.999 




9 


.085 


.996 


9 


.579 


.963 


14 


.212 


.993 


6 


.125 


.998 




8 


.178 


.996 


8 


.797 


.920 


13 


.359 


.985 


5 


.285 


.993 




7 


.340 


.988 


7 


.951 


.839 


12 


.505 


.970 


4 


.573 


.973 




6 


.585 


.967 


.130 14 


.042 


.999 


1 1 


.694 


.942 


3 


.922 


.878 




5 


.861 


.904 


13 


.084 


.998 


10 


.864 


.893 


7 


.058 


.999 


.0B5 


10 


.053 


.999 


12 


.157 


.996 


9 


.965 


.821 


6 


.145 


.997 




9 


.1 15 


.996 


1 1 


.274 


.990 .1 


70 17 


.046 


.999 


5 


.320 


.991 




8 


.230 


.994 


10 


.441 


.978 


16 


.086 


.998 


4 


.621 


.967 




7 


.417 


.983 


9 


.650 


.952 


15 


.15? 


.995 


3 


.947 


.855 




6 


.677 


.953 


8 


.854 


.900 


14 


.252 


.990 


7 


.069 


.999 




5 


.921 


.870 


7 


.972 


.81 1 


13 


.39? 


.981 


6 


.166 


.997 


.090 


1 1 


.033 


.999 


.135 14 


.056 


.999 


12 


.566 


.962 


5 


.357 


.989 




9 


.153 


.996 


13 


.108 


.997 


1 1 


.751 


.929 


4 


.669 


.960 




8 


.290 


.990 


12 


.194 


.994 


10 


.90? 


.875 


3 


.966 


.830 




7 


.500 


.975 


1 1 


.327 


.987 


9 


.97q 


.799 


7 


.081 


.999 




6 


.763 


.934 


10 


.507 


.971 .180 18 


.059 


.999 


6 


.190 


.996 




5 


.960 


.832 


9 


.718 


.939 


17 


.074 


.998 


5 


.396 


.987 


.095 


1 1 


.047 


.999 


8 


.899 


.878 


16 


.1 51 


.996 


4 


.716 


.951 




10 


.100 


.998 


7 


.985 


.783 


15 


.2iq 


.992 


3 


.979 


.805 




9 


.197 


.995 


.140 15 


.036 


.999 


14 


.34^ 


.984 


7 


.095 


.998 




8 


.356 


.986 


1 4 


.073 


.998 


13 


.503 


.970 


6 


.215 


.995 




7 


.585 


.965 


13 


.136 


.996 


12 


.68 3 


.943 


5 


.436 


.984 




6 


.837 


.910 


12 


.236 


.992 


1 1 


.848 


.899 


4 


.761 


.941 




5 


.982 


.794 


1 1 


.384 


.982 


10 


.954 


.835 


3 


.988 


.780 


.100 


1 1 


.064 


.999 


10 


.575 


.963 .190 19 


.054 


.999 


8 


.045 


.999 




10 


.132 


.997 


9 


.781 


.923 


18 


.06 3 


.998 


7 


.110 


.998 




9 


.248 


.992 


8 


.934 


.854 


17 


.113 


.997 


6 


.242 


.994 




8 


.429 


.981 


.145 15 


.048 


.999 


16 


.190 


.993 


5 


.477 


.981 




7 


.668 


.952 


14 


.093 


.998 


15 


.301 


.987 


4 


.802 


.930 




6 


.896 


.883 


13 


.168 


.995 


14 


.446 


.975 


8 


.053 


.999 


.105 


12 


.041 


.999 


12 


.233 


.989 


13 


.61 R 


.954 


7 


.127 


.998 




1 1 


.087 


.998 


1 1 


.444 


.977 


12 


.788 


.919 


6 


.271 


.993 




10 


.169 


.995 


10 


.642 


.953 


1 1 


.917 


.865 


5 


.518 


.977 




9 


.305 


.989 


9 


.835 


.906 


10 


.981 


.795 


4 


.840 


.916 




8 


.505 


.973 


8 


.959 


.829 .200 20 


.020 


.999 


8 


.062 


.999 




7 


.746 


.936 


.150 16 


.031 


.999 


18 


.097 


.997 


7 


.144 


.997 




6 


.939 


.852 


14 


.1 17 


.997 


17 


.16S 


.994 


6 


.302 


.991 


.1 10 


12 


.056 


.999 


13 


.204 


.993 


16 


.263 


.989 


5 


.561 


.972 




1 1 


.113 


.997 


12 


.334 


.986 


15 


.395 


.980 


4 


.874 


.902 




10 


.213 


.994 


1 1 


.507 


.970 


14 


.556 


.963 


8 


.073 


.999 




9 


.368 


.985 


10 


.706 


.940 


13 


.726 


.934 


7 


.164 


.996 




8 


.582 


.964 


9 


.881 


.886 


12 


.871 


.889 


6 


.333 


.990 




7 


.816 


.916 


8 


.976 


.804 


1 1 


.960 


.828 


5 


.603 


.967 




6 


.967 


.820 


.155 16 


.041 


.999 .210 21 


.024 


.999 



90 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 66 - 66 
F X M D F 



,210 19 .084 .998 

IB .142 .995 

17 .229 .991 

16 .349 .983 

15 .498 .969 

14 .664 .946 

13 .819 .909 



.270 24 .057 .998 

23 .097 .997 

22 .157 .994 

21 .241 .990 

20 .351 .982 

19 .484 .970 

18 .630 .950 



.320 23 .387 .979 
22 .515 .966 
21 .651 .947 
20 .777 .921 
19 .879 .887 
18 .946 .848 
17 .981 .804 



.400 29 .302 .985 

28 .410 .976 

27 .551 .964 

26 .654 .947 

25 .760 ,925 

24 .862 .897 

23 .92R .866 



.220 



12 .930 .856 

1 1 .983 .792 

21 .039 .999 

20 .072 .998 

19 .123 .996 

18 .200 .992 

17 .307 .986 



.280 



17 .770 .922 

16 .883 .884 

15 .954 ,837 

14 .987 .785 

26 .027 .999 

24 .083 .997 

23 .136 .995 



.330 



29 .036 .999 

28 .063 .998 

27 .104 .997 

26 .163 .994 

25 .244 .989 

24 .347 .982 

23 .469 .971 



.420 



22 .960 .631 

21 .988 .795 

36 .021 .999 

34 .065 .998 

33 .106 .996 

32 .163 .994 

31 .258 .989 



.230 



16 


.444 


.975 


15 


.603 


.955 


14 


.762 


.925 


13 


.890 


.880 


12 


.965 


.822 


22 


.033 


.999 


21 


.061 


.998 


20 


.106 


.997 


19 


.174 


.994 


18 


.270 


.988 


17 


.395 


.979 


16 


.546 


.963 


15 


.704 


.938 


14 


.844 


.900 



.290 



22 .21 1 .991 

21 .311 .985 

20 .436 .974 

19 .577 .958 

18 .719 .934 

17 .842 .901 

16 .929 .858 



15 .976 .810 
27 .022 .999 
25 .071 .998 
24 .117 ,996 
23 .184 .993 
22 .276 .987 
21 .391 .978 



,340 



22 .601 .954 

21 .731 .932 

20 .842 .902 

19 .922 .865 

18 .969 .824 

30 .030 .999 

29 .053 .998 



28 .089 .997 

27 .142 .995 

26 .215 .991 

25 .309 .985 

24 .424 .975 

23 .553 .961 

22 .684 .941 



.440 



30 .353 .983 

29 .444 .973 

28 .564 .960 

27 .684 .942 

26 .797 .920 

25 .878 .892 

24 .9 57 .862 



23 .97? .828 

22 .990 .793 

37 .026 .999 

35 .077 .998 

34 .12? .996 

33 .184 .993 

32 .265 .988 



.240 23 



,250 



13 .939 .849 

12 .984 .789 

028 .999 

21 .091 .997 

20 .151 .995 

19 .236 .990 

18 .351 .982 



17 .491 .969 

16 .646 .948 

15 .793 .916 

14 .906 .872 

13 .970 .818 

24 .024 .999 

22 .078 .998 



.300 



20 .525 .965 
19 .667 .944 
18 .797 .915 
17 .898 .877 
16 .960 .832 
15 .988 .783 
27 .034 .999 



26 .060 .998 

25 .101 ,997 

24 .161 .994 

.243 ,989 

.349 ,982 

21 .476 .970 

20 .615 .952 



23 
22 



.360 



21 .802 .914 

20 .894 .881 

19 .953 .843 

18 .983 .801 

32 .021 .999 

30 .065 .998 

29 .106 .996 



28 .164 .994 
27 .243 .989 
26 .343 .982 
25 .460 .972 
24 .588 .956 
23 .714 .935 
22 .824 .908 



.460 



31 


.364 


.980 


30 


.477 


.970 


29 


.597 


.956 


28 


.71? 


.937 


27 


.814 


.915 


26 


.89? 


.888 


25 


.945 


.857 


24 


.976 


.825 


38 


.0 51 


.999 


37 


.054 


.998 


36 


,089 


.997 


35 


,139 


.995 


34 


,206 


.991 



33 .293 .986 



21 .130 .996 

20 .207 .992 

19 .310 .985 

18 .441 .974 

17 .590 .957 

16 .739 .930 

15 .865 .892 



.310 



19 .750 .927 

18 .862 .894 

17 .938 .853 

16 .979 .806 

28 .029 .999 

26 .087 .997 

25 .140 .995 



.380 33 



21 .907 .876 

20 .959 .839 

19 .985 .799 

026 .999 

31 .077 .998 

30 .123 .996 

29 .188 .992 



32 ,395 .978 

31 .510 .967 

30 .628 .952 

29 .759 .933 

28 .834 .910 

27 ,905 .883 

26 .95? .854 



.260 



14 .948 .843 

13 .986 .787 

24 .037 .999 

067 .998 

113 .996 

21 .180 .993 

20 ,274 .988 



23 
22 



24 .214 .991 
23 .31 1 .985 
22 .430 .975 
21 .564 .960 
20 .701 ,938 
19 .821 ,908 
18 .911 .871 



28 .272 .987 

27 .377 .979 

26 .496 .968 

25 .622 .952 

24 .742 .930 

23 .844 .903 

22 .918 .871 



.480 



25 .979 .822 

40 .020 .999 

38 .063 .998 

37 .10? .996 

36 ,157 ,994 

35 ,250 ,990 

34 ,321 ,984 



.270 25 



19 .394 .979 

18 .535 .964 

17 .685 .941 

16 .820 .908 

15 .919 .865 

14 .973 .813 

032 .999 



.320 



17 


.965 


.828 


21 


.964 


.835 


16 


.990 


.781 


20 


.987 


.797 


29 


.024 


.999 .400 34 


.032 


.999 


27 


.074 


.998 


33 


.055 


.998 


26 


.121 


.996 


32 


.091 


.997 


25 


.187 


.993 


31 


.142 


.995 


24 


.276 


,987 


30 


,213 


.991 



33 ,427 .975 

32 .54? .963 

31 .658 .948 

30 .764 .928 

29 .85? .905 

28 .917 .879 

27 ,959 .850 



91 



FINITE QUEUING TABLES 
X M F X 



,480 
,500 



,520 



.540 



,560 



.580 



26 .982 .820 

41 .024 .999 

39 .07"5 .998 

38 .116 .996 

37 .176 .993 

36 .254 .988 

35 .350 .982 



34 


.458 


.973 


33 


.574 


.960 


32 


.687 


.944 


31 


.788 


.924 


30 


.869 


.901 


29 


.927 


.875 


28 


.964 


.847 


27 


.985 


.817 


42 


.029 


.999 


40 


.083 


.997 


39 


.131 


.995 


38 


.197 


.992 


37 


.280 


.987 


36 


.379 


.980 


35 


.490 


.970 


34 


.605 


.956 


33 


.714 


.940 


32 


.810 


.920 


31 


.885 


.896 


30 


.937 


.871 


29 


.969 


.844 


28 


.987 


.815 


43 


.033 


.999 


42 


.058 


.998 


41 


.095 


.997 


40 


.148 


.994 


39 


.218 


.991 


38 


.306 


.985 


37 


.409 


.977 


36 


.521 


.967 


35 


.635 


.953 


34 


.741 


.936 


33 


.830 


.915 


32 


.899 


.892 


31 


.946 


.867 


30 


.974 


.841 


29 


.989 


.813 


45 


.021 


.999 


43 


.066 


.998 


42 


.107 


.996 


41 


.165 


.994 


40 


.241 


.990 


39 


.333 


.984 


38 


.439 


.975 


37 


.553 


.964 


36 


.665 


.949 


35 


.766 


.932 


34 


.850 


.91 1 


33 


.912 


.888 


32 


.953 


.864 


31 


.978 


.838 


46 


.024 


.999 


44 


.075 


.998 


43 


.121 


.996 


42 


.183 


.993 


41 


.264 


.988 



.580 



i600 



.650 



.700 



.750 













F 


'OPULAT 


ION 


66 - 


- 68 


M 


D 


F 


X M 


D 


F 


X 


M 


D 


F 


40 


.361 


.982 .750 43 


.9d0 


.868 


.012 


2 


.228 


.998 


39 


.470 


.973 .800 58 


.038 


.999 




1 


.777 


.965 


38 


.584 


.961 


57 


.078 


.998 


.013 


2 


.261 


.997 


37 


.693 


.946 


56 


.141 


.996 




1 


.051 


.952 


36 


.790 


.928 


=^5 


.230 


.992 


.014 


3 


.076 


.999 


35 


.867 


.907 


54 


.343 


.987 




2 


.296 


.996 


34 


.924 


.885 


53 


.471 


.979 




1 


.879 


.934 


33 


.960 


.860 


52 


.600 


.969 


.015 


3 


.090 


.999 


32 


.981 


.835 


51 


.719 


.956 




2 


.351 


.995 


47 


.028 


.999 


50 


.818 


.941 




1 


.920 


.910 


45 


.085 


.997 


49 


.891 


.925 


.016 


3 


.105 


.999 


44 


.135 


.995 


48 


.940 


.908 




2 


.3fa8 


.994 


43 


.203 


.992 


47 


.970 


.890 




1 


.951 


.880 


42 


.289 


.987 


46 


.936 


.871 


.017 


3 


.12? 


.999 


41 


.390 


.980 .850 61 


.025 


.999 




2 


.406 


.993 


40 


.501 


.970 


59 


.128 


.997 




1 


.973 


.846 


39 


.615 


.958 


58 


.227 


.993 


.018 


3 


.1 39 


.999 


38 


.721 


.942 


57 


.354 


.988 




2 


.445 


.991 


37 


.312 


.924 


56 


.497 


.980 




1 


.986 


.808 


36 


.884 


.903 


55 


.638 


.969 


.019 


3 


.158 


.998 


35 


.934 


.881 


54 


.7d0 


.956 




2 


.484 


.989 


34 


.966 


.857 


53 


.855 


.941 


.020 


3 


.179 


.998 


33 


.985 


.833 


52 


.920 


.925 




2 


.523 


.986 


50 


.028 


.999 


51 


.960 


.908 


.021 


3 


.200 


.997 


48 


.088 


.997 


50 


.982 


.891 




2 


.563 


.983 


47 


.141 


.995 .900 63 


.036 


.999 


.022 


4 


.068 


.999 


46 


.213 


.992 


62 


.100 


.998 




3 


.222 


.997 


45 


.304 


.986 


61 


.212 


.995 




2 


.603 


.979 



44 .409 .979 
43 .523 ,969 
42 .636 .957 
41 .740 .942 
40 .828 .924 
39 .894 ,905 
38 .941 .884 



37 .970 .861 
36 .986 .839 
53 .026 .999 
51 .088 .997 
50 .145 .995 
49 .222 .992 
48 .318 .986 



47 ,428 .979 
46 .545 .969 
45 .660 .956 
44 .762 ,942 
43 .845 .925 
42 .907 .906 
41 .949 .886 



40 .974 .865 
39 .988 .844 
56 .022 .999 
54 .085 .998 
53 .145 .995 
52 .228 .992 
51 .331 .986 



50 .448 .979 
49 .571 .969 
48 .687 .956 
47 .787 .941 
46 .866 .925 
45 .922 .907 
44 .959 ,888 



60 .364 .989 

59 .533 .981 

58 .691 .970 

57 .817 .956 

56 .903 .941 

55 .954 .925 

54 .980 .909 



.950 



63 
62 



65 .036 .999 

64 .158 .997 

.365 .992 

.595 .982 

61 .782 .970 

60 .901 ,956 

59 .961 .941 



58 .987 .925 



POPULATION 



68 



.003 1 .201 .999 

.005 1 .334 .998 

.006 1 .400 .996 

.007 1 .466 .994 

.008 2 .112 .999 



.009 



.010 



.01 1 



1 .531 


.991 


2 .138 


.999 


1 .596 


.988 


2 .166 


.999 


1 .659 


.982 


2 .196 


.998 


1 .719 


.975 



.023 



.024 



.025 



.026 



.028 



.030 



.032 



.034 



.036 



.038 



.040 



4 .078 .999 

3 .245 .996 

2 .643 .975 

4 .088 .999 

3 .270 .996 
2 .68? .970 

4 .100 .999 



3 .295 .995 

2 .720 .964 

4 .11? .999 

3 .321 .994 

2 .757 .956 

4 .1 59 .998 

3 .376 .992 



2 .826 .938 
5 .057 .999 

4 .170 .998 

3 .453 .989 
2 .885 .913 

5 .07? .999 

4 .203 .997 



3 .493 .985 

2 .930 .883 
5 .089 .999 

4 .240 .996 

3 .553 .979 
2 .96? .847 

5 .109 .999 



4 .279 .994 

3 .614 .973 

2 .981 .809 
5.131 .998 

4 .321 .993 

3 .675 .965 
6 .058 .999 



92 



FINITE QUEUING TABLES 

X M D F X 

.040 

.042 



.044 



POPULATION 68 - 63 
F X M D F 



.046 



,048 



.050 



,052 



,054 



,056 



,058 



,060 



,062 



,064 



,066 



5 


.155 


.998 


.066 


5 


.647 


.961 


.110 9 


.415 


.982 


150 11 


.5b°. 


.964 


4 


.366 


.990 




4 


.929 


.869 


8 


.636 


.957 


10 


.763 


.923 


3 


.733 


.954 


.063 


9 


.042 


.999 


7 


.859 


.901 


9 


^9^-' 


.868 


6 


.071 


.999 




3 


.098 


.998 


6 


.960 


.798 


8 


.9B«- 


.78? 


5 


.182 


.997 




7 


.209 


.995 


.115 13 


.045 


.999 


155 17 


.027 


.999 


4 


.412 


.988 




6 


.403 


.985 


12 


.091 


.998 


15 


.100 


.997 


3 


.787 


.941 




5 


.689 


.954 


1 1 


.172 


.995 


14 


.176 


.994 


6 


.085 


.999 




4 


.949 


.850 


10 


.302 


.989 


13 


.289 


.989 


5 


.212 


.996 


.070 


9 


.049 


.999 


9 


.487 


.975 


12 


.445 


.977 


4 


.461 


.984 




8 


.112 


.998 


3 


.713 


.943 


11 


.653 


.954 


3 


.837 


.925 




7 


.233 


.994 


7 


.909 


.875 


10 


.819 


.912 


6 


.102 


.999 




6 


.440 


.983 


.120 13 


.061 


.999 


9 


.946 


.845 


5 


.243 


.995 




5 


.730 


.946 


12 


.118 


.997 .1 


160 17 


.056 


.999 


4 


.510 


.980 




4 


.965 


.831 


1 1 


.215 


.993 


16 


.063 


.993 


3 


.880 


.906 


.075 


9 


.071 


.999 


10 


.362 


.985 


15 


.125 


.996 


7 


.046 


.999 




8 


.153 


.997 


9 


.562 


.966 


14 


.213 


.993 


6 


.120 


.998 




7 


.302 


.991 


8 


.783 


.926 


13 


.340 


.985 


5 


.277 


.993 




6 


.536 


.974 


7 


.945 


.847 


12 


.506 


.970 


4 


.561 


.975 




5 


.822 


.921 


.125 14 


.040 


.999 


1 1 


.696 


.943 


3 


.916 


.885 




4 


.987 


.781 


13 


.080 


.998 


10 


.866 


.894 


' 


.056 


.999 


.080 


10 


.045 


.999 


12 


.1 50 


.996 


9 


.966 


.822 


6 


.140 


.998 




9 


.099 


.998 


1 1 


.263 


.991 .165 17 


.047 


.999 


5 


.313 


.992 




8 


.203 


.995 


10 


.427 


.980 


16 


.087 


.998 


4 


.61 1 


.970 




7 


.378 


.986 


9 


.636 


.956 


15 


.154 


.995 


3 


.944 


.861 




6 


.632 


.961 


8 


.344 


.906 


14 


.254 


.990 


7 


.067 


.999 




5 


.395 


.888 


7 


.969 


.818 


13 


.394 


.981 


6 


.162 


.997 


.085 


10 


.064 


.999 


.130 14 


.053 


.99 


12 


.56^ 


.963 


5 


.350 


.990 




9 


.135 


.997 


13 


.104 


.997 


1 1 


.75U 


.930 


4 


.661 


.962 




3 


.261 


.992 


12 


.188 


.994 


10 


.904 


.875 


3 


.964 


.836 




7 


.461 


.980 


1 1 


.317 


.988 


9 


.980 


.799 


7 


.079 


.999 




6 


.725 


.944 


10 


.496 


.973 .170 18 


.051 


.999 


6 


.186 


.996 




5 


.945 


.851 


9 


.707 


.943 


16 


.109 


.997 


5 


.390 


.988 


.090 


1 1 


.040 


.999 


8 


.893 


.883 


15 


.18-7 


.994 


4 


.710 


.954 




10 


.088 


.998 


7 


.984 


.789 


14 


.300 


.988 


3 


.978 


.810 




9 


.177 


.996 


.135 15 


.035 


.999 


13 


.451 


.976 


7 


.093 


.999 




8 


.327 


.989 


14 


.070 


.998 


12 


.651 


.954 


6 


.212 


.995 




7 


.548 


.971 


13 


.131 


.996 


1 1 


.807 


.915 


5 


.431 


.985 




6 


.808 


.922 


12 


.230 


.992 


10 


.954 


.855 


4 


.756 


.944 




5 


.975 


.81 1 


1 1 


.375 


.983 


9 


.983 


.777 


3 


.988 


.784 


.095 


1 1 


.057 


.999 


10 


.566 


.965 .180 19 


.02-^ 


.999 


8 


.044 


.999 




10 


.118 


.997 


9 


.773 


.927 


17 


.095 


.997 


7 


.109 


.998 




9 


.227 


.993 


8 


.931 


.859 


16 


.163 


.995 


6 


.240 


.994 




8 


.399 


.984 


.140 15 


.047 


.999 


15 


.26U 


.990 


5 


.473 


.981 




7 


.635 


.959 


14 


.091 


.998 


14 


.401 


.980 


4 


.800 


.932 




6 


.876 


.896 


13 


.164 


.995 


13 


.56Q 


.962 


8 


.053 


.999 




5 


.990 


.772 


12 


.277 


.990 


12 


.746 


.931 


7 


.126 


.998 


.100 


12 


.036 


.999 


1 1 


.437 


.978 


1 1 


.89? 


.881 


6 


.269 


.993 




1 1 


.078 


.998 


10 


.635 


.955 


10 


.97? 


.813 


5 


-.516 


.978 




10 


.155 


.996 


9 


.831 


.909 .190 19 


.045 


.999 


4 


.839 


.919 




9 


.233 


.991 


8 


.958 


.833 


18 


.08^ 


.993 


8 


.062 


.999 




8 


.476 


.977 


.145 16 


.031 


.999 


17 


.14"« 


.996 


7 


.144 


.997 




7 


.719 


.943 


14 


.1 15 


.997 


16 


.253 


.991 


6 


.301 


.992 




6 


.927 


.865 


13 


.201 


.993 


15 


.356 


.983 


5 


.560 


.973 


.105 


12 


.051 


.999 


12 


.329 


.986 


14 


.51? 


.969 


4 


.874 


.903 




1 1 


.104 


.996 


1 1 


.502 


.972 


13 


.685 


.943 


8 


.07^ 


.999 




10 


.197 


.994 


10 


.701 


.943 


12 


.84? 


.903 


7 


.164 


.997 




9 


.347 


.987 


9 


.879 


.889 


11 


.9U-7 


.644 


6 


.334 


.990 




8 


.556 


.96b 


8 


.976 


.808 


10 


,99r' 


.773 


5 


.603 


.968 




7 


.795 


.924 


. 1 50 16 


.041 


.999 .200 20 


.C3Q 


.999 


4 


.904 


.887 




6 


.960 


.832 


15 


.079 


.998 


19 


.07? 


.993 


8 


.085 


.999 


.1 10 


13 


.033 


.999 


14 


.143 


.996 


18 


.125 


.996 


7 


.186 


.996 




1 1 


.135 


.997 


13 


.243 


.991 


17 


.205 


.993 


6 


.368 


.988 




10 


.247 


.992 


12 


.386 


.982 


16 


.316 


.986 



93 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 68 - 68 
F X M D F 



.200 15 .460 .974 

14 .625 .953 

13 .788 .920 

12 .912 .870 

11 .977 .806 

,210 21 .034 .999 

20 .063 .998 



.260 18 .614 .954 
17 .757 .927 
16 .874 .890 
15 .950 .843 
14 .986 .791 

.270 26 .025 .999 
24 .080 .998 



.310 17 .981 .805 

.320 29 .037 .999 

28 .064 .998 

27 .106 .997 

26 .165 .994 

25 .246 .989 

24 .348 .982 



.380 21 .98? .812 

.400 35 .050 .999 

34 .05? .998 

33 .086 .997 

32 .155 .995 

31 .201 .992 

30 .287 .986 



19 .109 .997 

18 .180 .994 

17 .280 .988 

16 .412 .978 

15 .569 .961 

14 .732 .933 

13 .870 .891 



23 .130 .996 
22 .203 .992 
21 .301 .986 
20 .424 .976 
19 .564 ,961 
18 .707 .937 
17 .834 .905 



23 .470 .971 
22 .603 .955 
21 .732 .932 
20 .844 .902 
19 .923 .866 
18 .970 .825 
.330 30 .032 .999 



29 .391 .973 

28 .508 .967 

27 .629 .951 

26 .745 .931 

25 .847 .906 

24 .914 ,876 

23 .960 .843 



,220 



,230 



,240 



12 .956 .835 

22 .029 .999 

20 .095 .997 

19 .158 .995 

18 .248 .990 

17 .368 .982 

16 ,515 .967 



15 .675 .944 

14 .822 .909 

13 .928 .860 

12 .981 .800 

23 .025 .999 

21 .083 .998 

20 .138 .995 



19 ,219 .991 

18 .328 .985 

17 .465 .973 

16 .620 .953 

15 .771 .923 

14 .892 .881 

13 .964 .827 



23 .040 .999 

22 .072 .998 

21 .121 .996 

20 .193 .993 

19 .292 .987 

18 .419 .977 

17 .566 .961 



.280 



.290 



.300 



16 .924 .863 

15 .974 .815 

26 .040 .999 

25 .069 .998 

24 .114 .996 

23 .179 ,993 

22 ,269 ,988 



21 .382 .980 
20 .516 .966 
19 .657 .946 
18 .790 .918 
17 .894 .881 
16 .958 .836 
15 .988 .787 



27 .034 .999 
26 .059 .998 
25 .099 .997 
24 .158 .994 
23 .239 .990 
22 .344 .983 
21 .470 .971 



20 .608 .954 

19 .744 .930 

18 .858 .897 

17 .936 .856 

16 .978 .810 

28 .029 .999 

26 .086 .997 



,340 



,360 



29 


.055 


.998 


22 


.984 


.808 


28 


.092 


.997 .420 37 


.021 


.999 


27 


.145 


.995 


35 


.06"^ 


.998 


26 


.218 


.991 


34 


.107 


.997 


25 


.313 


.985 


33 


.156 


.994 


24 


.428 


.975 


32 


.229 


.990 


23 


.557 


.961 


31 


.320 


.984 


22 


.668 


.941 


30 


.42^ 


.975 


21 


.805 


.915 


29 


.546 


.963 


20 


.896 


.881 


28 


.665 


.946 


19 


.955 


.843 


27 


.774 


.925 


IS 


.984 


.801 


26 


.863 


.900 


31 


.027 


.999 


25 


.927 


.870 


29 


.079 


.998 


24 


.966 


.838 


28 


.127 


.996 


23 


.gs-' 


.805 


27 


.193 


.992 .440 38 


.026 


.999 


26 


.281 


.987 


36 


.075 


.998 


25 


.389 


.979 


35 


.119 


.996 


24 


.512 


.966 


34 


.180 


.993 


23 


.642 


.949 


33 


.258 


.988 


22 


.765 


.925 


32 


.355 


.981 


21 


.865 


.895 


31 


.465 


.972 


20 


.935 


.860 


30 


.583 


.958 


19 


.974 


.820 


29 


.698 


.941 


32 


.034 


.999 


28 


.800 


.919 


31 


.059 


.998 


27 


.881 


.894 


30 


.096 


.997 


26 


.958 


.865 


29 


.1 50 


.994 


25 


.977 


.834 



,250 



16 .719 .935 

15 .851 .899 

14 .940 .851 

13 .983 .795 

24 .035 .999 

23 .062 .998 

22 .105 .997 



25 .138 .995 
24 .212 .991 
23 .308 .985 
22 .427 .975 
21 .560 .961 
20 .697 .939 
19 .819 .910 



28 .223 .990 

27 .317 .984 

26 .429 .975 

25 .553 .962 

24 .679 .943 

23 .793 .918 

22 .884 .888 



.460 



24 .989 .802 

39 .05? .999 

38 .055 .998 

37 .089 .997 

36 .1 58 .995 

35 .205 .992 

34 .289 .986 



21 .170 .994 

20 .259 .989 

19 .376 .980 

18 .516 .967 

17 .666 .945 

16 .805 .914 

15 .910 .872 



.310 



18 .910 .873 

17 .964 .830 

16 .989 .784 

29 .024 .999 

27 .075 .998 

26 .121 .996 

25 .187 .993 



.380 



21 .945 .854 

20 .978 .816 

34 .024 .999 

32 .072 .998 

31 .115 .996 

30 .175 .993 

29 .255 .989 



33 .390 .979 

32 .50? .968 

31 .61B .954 

30 .729 .936 

29 .824 .914 

28 .897 .888 

27 .947 .860 



,260 



14 .970 .820 
25 .030 .999 
23 .092 .997 
22 .149 .995 
21 .230 .991 
20 .337 .983 
19 ,468 .972 



24 .276 .987 
23 .386 .979 
22 .514 .966 
21 .650 .946 
20 .776 ,922 
19 .879 .889 
18 .946 ,849 



28 ,354 .981 

27 .469 .971 

26 .592 .957 

25 .713 .937 

24 .819 .912 

23 .900 .882 

22 .953 .848 



.480 



26 .976 .830 

41 .02? .999 

39 .065 .998 

38 .104 .996 

37 .159 .994 

36 .251 .990 

35 ,320 .984 



94 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 68 



70 



,480 



.500 



.520 



.540 



,560 



34 
33 



.425 .976 

.538 .964 

32 .653 .949 

31 .758 .931 

30 .846 .908 

29 .912 .883 

28 .955 .855 



27 .980 .826 

42 .026 .999 

40 .076 .998 

39 .120 .996 

38 .180 .993 

37 .258 .988 

36 .353 .982 



35 .460 .973 

34 .574 .961 

33 .685 .945 

32 .785 .926 

31 .866 .903 

30 .925 .878 

29 .962 .851 



28 .983 .823 

43 .031 .999 

42 .054 .998 

41 .089 .997 

40 .138 .995 

39 .204 .992 

38 .287 .987 



37 .386 .979 

36 .496 .970 

35 .609 .957 

34 .717 .940 

33 .810 .921 

32 .884 .898 

31 .936 .873 



30 .968 .847 

29 .986 .820 

45 .021 .999 

43 .063 .998 

42 .102 .997 

41 .157 .994 

40 .229 .990 



39 .317 .985 

38 .420 .977 

.531 .966 

.643 .953 

35 .746 .936 

34 .834 .916 

33 .900 .893 



37 
36 



32 .946 .869 

31 .974 .843 

30 .989 .817 

46 .024 .999 

44 .074 .998 

43 .117 .996 

42 .177 .993 



41 .255 .989 

40 .349 .983 

39 .455 .974 

38 .567 .963 

37 .676 .948 

36 .774 .931 

35 .855 .911 



.560 



.580 



.600 



.650 



.700 



.750 



34 


.915 


.889 


.750 


55 


.1 17 


.997 


.008 


2 


.110 


.999 


33 


.955 


.865 




54 


.188 


.994 




1 


.547 


.991 


■^2 


.978 


.839 




53 


.231 


.989 


.009 


2 


.146 


.999 


47 


.029 


.999 




52 


.391 


.983 




1 


.61 "^ 


.987 


45 


.085 


.997 




51 


.510 


.974 


.010 


2 


.175 


.999 


44 


.134 


.995 




50 


.629 


.963 




1 


.677 


.981 


43 


.199 


.992 




49 


.737 


.950 


.01 1 


2 


.207 


.998 


42 


.282 


.987 




48 


.826 


.935 




1 


.759 


.973 


41 


.381 


.981 




47 


.894 


.918 


.012 


2 


.240 


.998 


40 


.490 


.971 




46 


.940 


.900 




1 


.798 


.962 


39 


.601 


.959 




45 


.969 


.882 


.013 


2 


.27U 


.997 


38 


.708 


.944 




44 


.985 


.862 




1 


.851 


.946 


37 


.801 


.927 


.800 


60 


.030 


.999 


.014 


3 


.081 


.999 


36 


.875 


.906 




59 


.062 


.996 




2 


.31 1 


.996 


35 


.928 


.884 




58 


.1 16 


.997 




1 


.898 


.925 


34 


.962 


.861 




57 


.196 


.994 


.015 


3 


.097 


.999 


33 


.982 


.836 




56 


.299 


.969 




2 


.34Q 


.995 


48 


.034 


.999 




55 


.420 


.963 




1 


.956 


.898 


47 


.059 


.998 




54 


.549 


.974 


.016 


3 


.IT* 


.999 


46 


.097 


.997 




53 


.672 


.962 




2 


.386 


.994 


45 


.151 


.995 




^2 


.778 


.949 




1 


.96^ 


.365 


44 


.223 


.991 




51 


.361 


.934 


.017 


3 


.1 51 


.999 


43 


.31 1 


.986 




50 


.920 


.917 




2 


.426 


.992 


42 


.414 


.978 




49 


.958 


.900 




1 


.981 


.828 


41 


.525 


.968 




48 


.980 


.882 


.018 


3 


.150 


.999 


40 


.636 


.956 


.850 


62 


.052 


.999 




2 


.466 


.990 


39 


.738 


.940 




61 


.109 


.997 


.019 


3 


.170 


.998 


38 


.825 


.922 




60 


.196 


.994 




2 


.507 


.988 


37 


.893 


.902 




59 


.317 


.990 


.020 


3 


.191 


.998 


36 


.940 


.880 




58 


.455 


.982 




2 


.54 


.985 


35 


.969 


.857 




57 


.596 


.973 


.021 


4 


.064 


.999 


34 


.986 


.833 




56 


.724 


.961 




3 


.214 


.997 


51 


.036 


.999 




55 


.827 


.947 




2 


.589 


.981 


50 


.064 


.996 




54 


.900 


.932 


.02^ 


4 


.074 


.999 


49 


.106 


.997 




53 


.948 


.916 




3 


.257 


.997 


48 


.165 


.994 




52 


.975 


.899 




2 


.650 


.977 


47 


.243 


.990 




51 


.989 


.882 


.023 


4 


.085 


.999 


46 


.337 


.985 


.900 


65 


.031 


.999 




3 


.26? 


.996 


45 


.444 


.977 




64 


.088 


.998 




2 


.671 


.972 


44 


.557 


.96o 




63 


.190 


.995 


.024 


4 


.097 


.999 


43 


.667 


.954 




62 


.334 


.990 




3 


.288 


.995 


42 


.766 


.938 




61 


.499 


.983 




2 


.710 


.966 


41 


.847 


.921 




60 


.659 


.973 


.025 


4 


.109 


.999 


40 


.907 


.901 




=^9 


.791 


.960 




3 


.315 


.994 


39 


.949 


.881 




58 


.885 


.946 




2 


.749 


.959 


38 


.974 


.859 




57 


.943 


.931 


.026 


4 


.12? 


.999 


37 


.988 


.837 




56 


.975 


.915 




3 


.34? 


.993 


54 


.036 


.999 


.950 


66 


.146 


.997 




2 


.786 


.951 


53 


.067 


.998 




65 


.345 


.992 


.028 


4 


.15? 


.998 


52 


.113 


.996 




64 


.572 


.984 




3 


.400 


.991 


51 


.177 


.994 




63 


.764 


.972 




2 


.f 53 


.929 


50 


.262 


.990 




62 


.889 


.959 


.030 


5 


.06"^ 


.999 


49 


.363 


.984 




61 


.955 


.944 




4 


.184 


.997 


48 


.476 


.975 




60 


.984 


.929 




3 


.46'^ 


.987 


47 


.591 


.965 












2 


.90° 


.902 


46 


.700 


.952 










.032 


5 


.080 


.999 


45 


.795 


.937 


POPULATION 


70 




4 


.220 


.996 


44 


.869 


.919 












3 


.52? 


.983 


43 


.923 


.901 


.003 




.207 


.999 




2 


.94B 


.367 


42 


.959 


.881 


.004 




.276 


.998 


.034 


5 


.099 


.999 


41 


.930 


.861 


.005 




.344 


.997 




4 


.2b0 


.995 


57 


.035 


.999 


.006 




.412 


.996 




3 


.585 


.977 


56 


.066 


.998 


.007 




.480 


.994 




2 


.974 


.829 



95 



FINITE QUEUING TABLES 

X M 
.036 



,038 



.040 



,042 



,044 



,046 



,048 



,050 



,052 



,054 



,056 



,058 



,060 



,062 





D 


F 


X 


M 


D 


F 


X 


5 


.121 


.998 


.062 


4 


.904 


.889 


.105 


4 


.302 


.994 


.064 


8 


.084 


.999 




3 


.648 


.969 




7 


.185 


.996 




2 


.989 


.789 




6 


.367 


.988 




6 


.053 


.999 




5 


.646 


.962 




5 


.145 


.998 




4 


.930 


.871 


.110 


4 


.347 


.992 


.066 


o 


.042 


.999 




3 


.709 


.960 




B 


.098 


.996 




6 


.066 


.999 




7 


.209 


.995 




5 


.171 


.997 




6 


.404 


.986 




4 


.394 


.989 




5 


.690 


.955 




3 


.767 


.948 




4 


.951 


.851 




6 


.080 


.999 


.068 


9 


.049 


.999 




5 


.201 


.996 




8 


.113 


.998 


.115 


4 


.443 


.986 




7 


.234 


.994 




3 


.821 


.932 




6 


.442 


.983 




6 


.096 


.999 




5 


.732 


.947 




5 


.232 


.995 




4 


.966 


.831 




4 


.494 


.982 


.070 


9 


.058 


.999 




3 


.868 


.914 




8 


.129 


.997 




6 


.114 


.998 




7 


.262 


.993 


.120 


5 


.266 


.994 




6 


.481 


.980 




4 


.546 


.978 




5 


.772 


.937 




3 


.907 


.893 




4 


.978 


.81 1 




7 


.053 


.999 


.075 


10 


.036 


.999 




6 


.135 


.998 




8 


.175 


.996 




5 


.303 


.993 




7 


.336 


.989 




4 


.598 


.972 




6 


.580 


.969 




3 


.938 


.869 




5 


.860 


.908 


.125 


7 


.064 


.999 


.080 


10 


.053 


.999 




6 


.157 


.997 




9 


.116 


.998 




5 


.341 


.991 




8 


.230 


.994 




4 


.650 


.965 




7 


.418 


.984 




3 


.961 


.843 




6 


.679 


.954 




7 


.077 


.999 




5 


.924 


.872 




6 


.181 


.996 


.085 


10 


.076 


.999 




5 


.382 


.988 




9 


.156 


.996 


.130 


4 


.701 


.957 




8 


.294 


.991 




3 


.977 


.817 




7 


.506 


.976 




7 


.091 


.999 




6 


.771 


.935 




6 


.207 


.996 




5 


.964 


.832 




5 


.424 


.986 


.090 


1 1 


.049 


.999 




4 


.749 


.947 




10 


. 104 


.998 




3 


.987 


.790 




9 


.204 


.995 


.135 


8 


.043 


.999 




8 


.366 


.986 




7 


.106 


.998 




7 


.597 


.965 




6 


.236 


.995 




6 


.849 


.909 




5 


.467 


.982 




5 


.985 


.791 




4 


.795 


.935 


.095 


1 1 


.069 


.999 




8 


.052 


.999 




10 


.139 


.997 




7 


.124 


.998 




9 


.259 


.992 




6 


.266 


.993 




8 


.444 


.980 


.140 


5 


.51 1 


.979 




7 


.686 


.951 




4 


.836 


.921 




6 


.909 


.879 




8 


.061 


.999 


.100 


12 


.045 


.999 




7 


.142 


.997 




1 1 


.093 


.998 




6 


.298 


.992 




10 


.180 


.995 




5 


.556 


.974 




9 


.321 


.989 




4 


.873 


.906 




8 


.525 


.972 




8 


.072 


.999 




7 


.768 


.933 


.145 


7 


.163 


.997 




6 


.950 


.846 




6 


.332 


.990 


.105 


12 


.062 


.999 




5 


.601 


.969 




1 1 


.124 


.997 





M 



POPULATION 
F X 



10 .228 .993 

9 .390 .984 

8 .609 .962 

7 .839 .91 1 

6 .975 .812 

13 .041 .999 

12 .084 .998 



11 .160 .996 

10 .283 .990 

9 .464 .978 

8 .689 .949 

7 .896 .885 

6 .9a9 .777 

13 .056 .999 



12 .110 .997 

1 1 .202 .994 

10 .344 .987 

9 .540 .970 

3 .7o4 .932 

7 .937 .857 

14 .037 .999 



13 .075 .998 

12 .142 .996 

1 1 .250 .992 

10 .410 .982 

9 .617 .959 

8 .830 .912 

7 .965 .827 



14 .050 .999 

13 .098 .998 

12 .179 .995 

11 .304 .989 

10 .480 .975 

9 .692 .947 

8 .884 .890 



7 .982 .797 

15 .033 .999 

13 .126 .997 

12 .221 .993 

11 .363 .985 

10 .552 .967 

9 .761 .931 



8 .926 .865 

15 .045 .999 

14 .087 .998 

13 .158 .996 

12 .269 .990 

11 .426 .980 

10 .624 .957 



9 .822 .914 

8 .955 .839 

16 .030 .999 

14 .111 .997 

13 .196 .994 

12 .322 .987 

11 .493 .973 



10 .693 .945 

9 .874 .893 

8 .974 .812 

16 .040 .999 

15 .077 .998 

14 .140 .996 

13 .238 .992 



.145 



1 150 



.155 



.160 



.165 



,170 



.180 



ON 


70 - 


- 70 


M 


D 


F 


12 


.379 


.983 


1 1 


.561 


.965 


10 


.755 


.931 


9 


.915 


.871 


8 


.986 


.786 


16 


.053 


.999 


15 


.099 


.998 


14 


.173 


.995 


13 


.286 


.989 


12 


.440 


.978 


1 1 


.628 


.956 


10 


.816 


.915 


9 


.94S 


.848 


17 


.0 56 


.999 


16 


.069 


.998 


15 


.124 


.997 


14 


.21 1 


.993 


13 


.358 


.986 


12 


.504 


.971 


1 1 


.693' 


.944 


10 


.865 


.896 



9 .966 .824 

17 .047 .999 

16 .087 .998 

15 .15a .995 

14 .254 .991 

13 .393 .981 

12 .568 ,964 



11 .754 .931 

10 .905 .877 

9 .980 .801 

18 .05? .999 

16 .110 .997 

15 .187 .994 

14 .301 .988 



13 .45? .976 

12 .65? .954 

11 .809 .916 

10 .936 .856 

9 .989 .778 

18 .04? .999 

17 .077 .998 



16 .1 36 .996 

15 .225 .992 

14 .351 .984 

13 .513 .970 

12 .694 .943 

11 .857 .899 

10 .958 .834 



90 



19 


.057 


.999 


18 


.068 


.998 


17 


.120 


.997 


16 


.200 


.993 


15 


.314 


.987 


14 


.46? 


.975 


13 


.635 


.953 


12 


.803 


.917 


1 1 


.927 


.862 


10 


.985 


.792 


20 


.03? 


.999 


18 


.106 


.997 


17 


.178 


.994 


16 


.280 


.989 



96 



FINITE QUEUING TABLES 



POPULATION 70 - 70 



M 



D 



M 



D 



.190 



.200 



15 .416 .979 

14 .579 .961 

13 .748 .931 

12 .888 .885 

11 .968 .823 

21 .028 .999 

19 .094 .997 



18 .157 .995 

17 .250 .990 

16 .374 ,982 

15 .527 .967 

14 .693 .942 

13 .842 .904 

12 .943 .850 



.250 



.260 



18 


.592 


.958 


.300 


17 


.981 


.808 


17 


.737 


.932 


.310 


29 


.037 


.999 


16 


.861 


.896 




28 


.064 


.998 


15 


.943 


.851 




27 


.105 


.997 


14 


.983 


.798 




26 


.164 


.994 


26 


.024 


.999 




25 


.244 


.990 


24 


.074 


.998 




24 


.345 


.983 


23 


.123 


.996 




23 


.467 


.972 


22 


.192 


.993 




22 


.599 


.956 


21 


.287 


.987 




21 


.729 


.934 


20 


.406 


.978 


.320 


21 


.804 


.916 


19 


.545 


.964 




20 


.896 


.883 


18 


.690 


.942 




19 


.955 


.844 



.380 



.400 



17 .820 .911 



18 .984 .802 



24 .881 .892 

23 .940 .860 

22 .975 .825 

36 .029 .999 

34 .081 .997 

33 .12=1 .996 

32 .191 .992 



31 .27? .988 

30 .37? .980 

29 .485 .970 

28 .605 .956 

27 .721 .937 

26 .82? .913 

25 .899 .885 



.210 



11 .988 .784 

22 .025 .999 

20 .083 .998 

19 .140 .996 

18 .223 .992 

17 .336 .984 

16 .478 .972 



.270 



16 .917 .870 
15 .971 .821 
26 .037 .999 
25 .065 .998 
24 .108 .997 
23 .171 .994 
22 .257 .989 



.330 31 .028 .999 

29 .061 .998 

28 .129 .996 

27 .195 .992 

26 .283 .987 

25 .390 .979 

24 .514 .967 



,420 



24 .951 .854 

23 .979 .820 

38 .02 1 .999 

36 .061 .998 

35 .098 .997 

34 .151 .994 

33 .220 .991 



,220 



15 .639 .951 

14 .793 .919 

13 .911 .872 

12 .975 .813 

22 .041 .999 

21 .073 .998 

20 .123 .996 



19 .198 .993 

18 .301 .987 

17 .433 .976 

16 .586 .959 

15 .742 .931 

14 .873 .891 

13 .955 .839 



.280 



21 .368 .981 

20 .500 .969 

19 .642 .950 

18 .777 .923 

17 .885 .886 

16 .954 .842 

15 .986 .793 



27 .032 .999 

26 .057 .998 

25 .095 .997 

24 .152 .995 

23 .231 .991 

22 .333 .984 

21 .458 .973 



,340 



23 


.644 


.949 


22 


.766 


.926 


21 


.866 


.896 


20 


.936 


.860 


19 


.975 


.821 


32 


.024 


.999 


30 


.071 


.998 


29 


.114 


.996 


28 


.174 


.993 


27 


.255 


.989 


26 


.356 


.982 


25 


.474 


.971 


24 


.601 


.956 


23 


.726 


.935 



.440 



32 .30« .985 

31 .41"^ .977 

30 .528 .965 

29 .645 .950 

28 .755 .930 

27 .847 .906 

26 .916 .878 



25 .959 .848 

24 .983 .815 

39 .026 .999 

37 .074 .998 

36 .117 .996 

35 .176 .993 

34 .25? .989 



,230 



12 .990 .778 

23 .036 .999 

22 .064 .998 

21 .109 .997 

20 .176 .994 

19 .270 .989 

18 .392 .980 



^90 



20 .596 .957 
19 .733 .933 
18 .850 .901 
17 .932 .861 
16 .977 .814 
28 .028 .999 
26 .084 .997 



.360 



22 .834 .908 

21 .914 .875 

20 .963 .838 

19 .987 .797 

33 .031 .999 

32 .053 .998 

31 .088 .997 



33 .346 .982 

32 .453 .973 

31 .569 .961 

30 .683 .944 

29 .786 .924 

28 .870 .900 

27 .92Q .872 



,240 



17 .537 .965 

16 .691 .942 

15 .830 .907 

14 .929 .861 

13 .980 .805 

24 .031 .999 

22 .096 .997 



25 .135 .995 
24 .206 .992 
23 .301 .986 
22 .418 .977 
?1 .551 .963 
20 .688 .942 
19 .812 .913 



30 .137 .995 

29 .205 .992 

28 .293 .986 

27 .399 .978 

26 .519 .966 

?5 .644 .949 

24 .761 .927 



.460 



26 .967 .842 

25 .986 .811 

40 .05? .999 

39 .055 .998 

38 .089 .997 

37 .1 5R .995 

36 .203 .992 



21 .156 .995 

20 .241 .990 

.354 .983 

.490 .970 

17 .641 .950 

16 .785 .921 

15 .897 .880 



19 
18 



,300 



18 .906 .877 
17 .963 .834 
16 .989 .787 
29 .024 .999 
27 .074 .998 
26 .119 .996 
25 .184 .993 



,380 



23 .859 .900 

22 .928 .867 

21 .969 .831 

20 .989 .793 

35 .023 .999 

33 .067 .998 

32 .107 .996 



35 .285 .987 

34 .384 .980 

33 .494 .969 

32 .609 .956 

31 .719 .939 

30 .81"^ .918 

29 .889 .893 



,250 



14 .964 .830 

25 .027 .999 

23 .085 .998 

22 .139 .995 

21 .216 .992 

20 .319 .985 

19 .447 .974 



2^) .271 .98b 

23 .380 .980 

22 .508 .966 

21 .643 .949 

'0 .771 .924 

19 .875 .892 

18 .945 .852 



31 .163 .994 

30 .238 .990 

29 .332 .983 

28 .442 .974 

27 .563 .961 

26 .684 .943 

25 .793 .920 



.480 



28 .941 .866 

27 .97-^ .837 

26 .989 .807 

42 .023 .999 

40 .067 .998 

39 .106 .996 

38 .160 .994 



97 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



,480 



,500 



,520 



.540 



.560 



37 


.232 


.990 


36 


.320 


.984 


35 


.423 


.976 


34 


.535 


.965 


33 


.647 


.951 


32 


.752 


.933 


31 


.840 


.912 


30 


.907 


.887 


29 


.951 


.860 


28 


.978 


.832 


43 


.028 


.999 


41 


.079 


.998 


40 


.124 


.996 


39 


.185 


.993 


38 


.262 


.988 


37 


.356 


.982 


36 


.462 


.973 


35 


.574 


.961 


34 


.664 


.946 


33 


.783 


.927 


32 


.863 


.906 


31 


.922 


.881 


30 


.960 


.855 


29 


.982 


.828 


44 


.034 


.999 


43 


.058 


.998 


42 


.094 


.997 


41 


.144 


.995 


40 


.211 


.991 


39 


.295 


.986 


38 


.393 


.979 


37 


.502 


.969 


36 


.613 


.957 


35 


.719 


.941 


34 


.81 1 


.922 


33 


.884 


.900 


32 


.935 


.876 


31 


.967 


.850 


30 


.986 


.824 


46 


.023 


.999 


44 


.069 


.998 


43 


.1 10 


.996 


42 


.166 


.994 


41 


.239 


.990 


40 


.328 


.984 


39 


.431 


.976 


38 


.541 


.966 


37 


.651 


.952 


36 


.752 


.936 


35 


.837 


.916 


34 


.902 


.894 


33 


.946 


.870 


32 


.974 


.845 


31 


.988 


.820 


47 


.028 


.999 


45 


.081 


.997 


44 


.128 


.996 


43 


.190 


.993 


42 


.269 


.988 


41 


.364 


.982 


40 


.469 


.973 


39 


.580 


.962 


38 


.687 


.948 



,560 



.580 



i600 



.650 



.700 



37 .782 .930 

36 .860 .911 

35 .918 .889 

34 .956 .865 

33 .979 .841 

U8 .034 .999 

47 .058 .996 



46 .095 .997 
45 .147 .995 
44 .215 .991 
43 .301 .986 
42 .400 .979 
41 .508 .970 
40 .618 .958 



39 .722 .943 

38 .811 .925 

^7 .881 .905 

36 .932 .884 

35 .964 .861 

34 .983 .837 

50 .022 .999 



48 .069 .998 
47 .110 .996 
46 .168 .994 
45 .243 .990 
44 .334 .984 
43 .437 .977 
42 .547 .967 



41 .656 .954 

40 .755 .938 

39 .837 .920 

38 .901 .900 

37 .944 .879 

36 .972 .856 

35 .987 .833 



53 


.025 


.999 


51 


.078 


.998 


50 


.126 


.996 


49 


.190 


.993 


48 


.273 


.989 


47 


.371 


.983 


46 


.479 


.974 


45 


.590 


.964 


44 


.696 


.950 


43 


.789 


.935 


42 


.864 


.917 


41 


.919 


.898 


40 


.956 


.878 


39 


.978 


.856 


38 


.990 


.835 


56 


.026 


.999 


54 


.086 


.997 


53 


.140 


.995 


52 


.213 


.992 


51 


.304 


.988 


50 


.409 


.981 


49 


.523 


.972 


48 


.635 


.961 


47 


.738 


.947 


46 


.824 


.932 


45 


.890 


.914 


44 


.937 


.896 


43 


.967 


.877 









POPULATION 


70 - 


■ 75 


X M 


D 


F 


X 


M 


D 


F 


700 42 


.984 


.857 


POPULATION 


75 


750 59 


.026 


.999 










57 


.093 


.997 


.003 


1 


.22? 


.999 


56 


.154 


.995 


.004 


1 


.296 


.998 


•^5 


.236 


.99? 


.005 


1 


.369 


.997 


54 


.337 


.986 


.006 


1 


.44? 


.995 


53 


.451 


.979 


.007 


1 


.51 4 


.993 


52 


.570 


.970 


.008 


2 


.1 34 


.999 


51 


.683 


.958 




1 


.586 


.989 


50 


.781 


.944 


.009 


2 


.165 


.999 


49 


.860 


.929 




1 


.656 


.984 


48 


.917 


.912 


.010 


2 


.198 


.998 


47 


.954 


.894 




1 


.724 


.977 


46 


.977 


.876 


.01 1 


2 


.253 


.998 


45 


.989 


.857 




1 


.788 


.966 


800 61 


.050 


.999 


.012 


2 


.270 


.997 


60 


.096 


.998 




1 


.847 


.951 


59 


.165 


.995 


.013 


3 


.081 


.999 


58 


.258 


.991 




2 


.300 


.996 


57 


.372 


.986 




1 


.898 


.930 


56 


.498 


.978 


.014 


3 


.097 


.999 


55 


.623 


.968 




2 


.349 


.995 


54 


.735 


.955 




1 


.9 59 


.901 


53 


.828 


.941 


.015 


3 


.115 


.999 


52 


.896 


.926 




2 


.390 


.994 


51 


.943 


.909 




1 


.968 


.864 


50 


.971 


.892 


.016 


3 


.1 54 


.999 


49 


.986 


.875 




2 


.453 


.992 


850 64 


.043 


.999 




1 


.985 


.823 


63 


.093 


.998 


.017 


3 


.154 


.999 


62 


.172 


.995 




2 


.476 


.990 


61 


.282 


.991 


.018 


3 


.176 


.998 


60 


.414 


.985 




2 


.520 


.988 


59 


.554 


.976 


.019 


3 


.200 


.998 


58 


.685 


.966 




2 


.564 


.984 


57 


.796 


.953 


.020 


4 


.069 


.999 


56 


.878 


.939 




3 


.225 


.997 


55 


.934 


.923 




2 


.609 


.981 


54 


.967 


.907 


.021 


4 


.080 


.999 


53 


.935 


.891 




3 


.251 


.997 


900 66 


.077 


.998 




2 


.653 


.976 


65 


.170 


.996 


.022 


4 


.09? 


.999 


64 


.305 


.992 




3 


.278 


.996 


63 


.466 


.985 




2 


.696 


.970 


62 


.627 


.975 


.023 


4 


.105 


.999 


61 


.765 


.964 




3 


.306 


.995 


60 


.866 


.950 




2 


.758 


.963 


59 


.932 


.936 


.024 


4 


.119 


.999 


58 


.969 


.920 




3 


.356 


.994 


57 


.987 


.905 




2 


.779 


.955 


950 68 


.135 


.998 


.025 


4 


.1 54 


.999 


67 


.325 


.993 




3 


.366 


.993 


66 


.550 


.985 




2 


.817 


.945 


65 


.744 


.974 


.026 


4 


.150 


.998 


64 


.876 


.961 




3 


.397 


.991 


63 


.949 


.947 




2 


.853 


.933 


62 


.982 


.932 


.028 


5 


.064 


.999 



,030 



4 .185 .997 

3 .46? .988 

2 .91? .904 

5 .08? .999 

4 .224 .996 

3 .529 .983 



98 



FINITE QUEUING TABLES 



POPULATION 75 



75 



.030 


2 


.954 


.866 


.032 


5 


.103 


.999 




4 


.267 


.995 




3 


.597 


.977 




2 


.979 


.824 


.034 


5 


.126 


.998 



.036 



.038 



.040 



.042 



,044 



,046 



.048 



,050 



,052 



,054 



,056 



,058 



4 .313 .994 



3 


.664 


.969 


6 


.057 


.999 


5 


.153 


.998 


4 


.362 


.991 


3 


.730 


.958 


6 


.071 


.999 


5 


.183 


.997 


4 


.413 


.989 


3 


.791 


.944 


6 


.087 


.999 


5 


.215 


.996 


4 


.467 


.985 


3 


.846 


.927 


6 


.106 


.999 


5 


.251 


.995 


4 


.523 


.981 


3 


.893 


.906 


7 


.050 


.999 


6 


.127 


.998 


5 


.289 


.994 


4 


.579 


.976 


3 


.930 


.881 


7 


.061 


.999 


6 


.150 


.998 


5 


.329 


.992 


4 


.635 


.969 


3 


.957 


.854 


7 


.074 


.999 


6 


.175 


.997 


5 


.372 


.990 


4 


.691 


.961 


3 


.976 


.825 


7 


.089 


.999 


6 


.203 


.996 


5 


.417 


.987 


4 


.744 


.951 


3 


.987 


.796 


7 


.105 


.998 


6 


.233 


.995 


5 


.464 


.984 


4 


.793 


.938 


S 


.052 


.999 


7 


.124 


.998 


6 


.266 


.994 


5 


.512 


.980 


4 


.839 


.924 


8 


.062 


.999 


7 


.144 


.997 


6 


.300 


.992 


5 


.560 


.975 


4 


.878 


.908 


8 


.074 


.999 


7 


.166 


.997 


6 


.337 


.991 


5 


.609 


.969 


4 


.91 1 


.889 



.060 



.062 



.064 



.066 



.068 



.070 



.075 



,080 



.085 



.090 



.095 



8 


.087 


.999 


7 


.190 


.996 


6 


.375 


.986 


5 


.657 


.963 


4 


.938 


.869 


9 


.044 


.999 



8 .102 .998 



7 


.216 


.995 


6 


.415 


.986 


5 


.704 


.955 


4 


.958 


.848 


9 


.052 


.999 


8 


.118 


.998 


7 


.244 


.994 


6 


.456 


.983 


5 


.749 


.946 


4 


.973 


.826 


9 


.062 


.999 


8 


.136 


.997 


7 


.274 


.993 


6 


.499 


.979 


5 


.792 


.935 


4 


.983 


.804 


9 


.073 


.999 


8 


.156 


.997 


7 


.306 


.99.1 


6 


.542 


.975 


5 


.831 


.923 


9 


.085 


.999 


8 


.177 


.996 


7 


.339 


.990 


6 


.585 


.970 


5 


.866 


.909 


10 


.056 


.999 


9 


.120 


.998 



8 .237 .994 



.428 .984 
.691 .955 
.932 .870 



11 .037 .999 
9 .164 .996 
8 .307 .991 



7 


.524 


.975 


6 


.789 


.933 


5 


.971 


.827 


1 1 


.054 


.999 


10 


.113 


.998 


9 


.217 


.994 


3 


.386 


.986 


7 


.622 


.964 


6 


.869 


.905 


5 


.990 


.782 


12 


.036 


.999 


10 


.152 


.997 


9 


.279 


.992 



8 .471 .979 



7 .716 .948 
6 .928 .871 

12 .052 .999 

11 .105 .998 

10 .199 .995 

9 .349 .988 

8 .560 .970 



,095 



100 



il05 



110 



1 15 



120 



125 



130 



135 



7 


.801 


.927 


6 


.965 


.835 


13 


.035 


.999 


1 1 


.141 


.997 


10 


.254 


.992 


9 


.426 


.982 


8 


.650 


.958 


7 


.872 


.902 


6 


.985 


.797 


13 


.049 


.999 


12 


.098 


.998 


1 1 


.183 


.995 


10 


.317 


.989 


9 


.507 


.975 


8 


.735 


.942 


7 


.924 


.872 


14 


.033 


.999 


12 


.130 


.997 


1 1 


.232 


.993 


10 


.386 


.984 


9 


.590 


.965 


8 


.810 


.922 


7 


.959 


.841 


14 


.046 


.999 


13 


.091 


.998 


12 


.168 


.996 


1 1 


.288 


.990 


10 


.460 


.978 


9 


.672 


.953 


8 


.873 


.899 


7 


.980 


.808 


15 


.031 


.999 


13 


.120 


.997 


12 


.212 


.994 


1 1 


.350 


.986 


10 


.537 


.971 


9 


.749 


.937 


8 


.921 


.873 


15 


.044 


.999 


14 


.084 


.998 


13 


.154 


.996 


12 


.262 


.991 


1 1 


.418 


.981 


10 


.615 


.961 


9 


.817 


.919 


8 


.954 


.845 


16 


.030 


.999 


14 


.110 


.997 


13 


.194 


.994 


12 


.319 


.988 


1 1 


.489 


.975 


10 


.690 


.94'^ 


9 


.874 


.897 


8 


.975 


.817 


16 


.041 


.999 


15 


.078 


.998 


14 


.141 


.996 


13 


.239 


.992 


12 


.380 


.984 


1 1 


.562 


.967 


10 


.761 


.933 


9 


.918 


.874 


8 


.988 


.788 



,140 



il45 



.150 



il55 



.160 



1 165 



.170 



16 


.055 


.999 


15 


.101 


.998 


14 


.177 


.995 


13 


.290 


.989 


12 


.446 


.978 


1 1 


.655 


.957 


10 


.823 


.916 


9 


.950 


.849 


17 


.05« 


.999 


16 


.07? 


.998 


15 


.129 


.997 


14 


.21 8 


.993 


13 


.34-7 


.986 



180 



12 .515 .972 



11 .705 .944 

10 .875 .896 

9 .971 .823 

17 .051 .999 

16 .093 .998 

15 .16? .995 

14 .265 .991 



13 .407 .981 

12 .584 .963 

11 .770 .930 

10 .916 .875 

9 .984 .798 

18 .035 .999 

16 .118 .997 



15 .199 .994 

14 .316 .987 

13 .471 .975 

12 .653 .953 

11 .827 ,913 

10 .946 .852 

18 .047 .999 



17 .085 .998 

16 .143 .996 

15 .24^ .992 

14 .37? .984 

13 .557 .968 

12 .718 .941 

11 .876 .895 



10 .967 .829 

19 .05? .999 

17 .108 .997 

16 .18? .994 

15 .289 .989 

14 .45? .979 

13 .60^ .960 



12 .778 .927 

11 .914 .875 

10 .981 .806 

19 .043 .999 

18 .07« .998 

17 .1 55 .996 

16 .221 .992 



15 .340 .986 

14 .494 .973 

13 .660 .950 

12 .851 .911 

11 .943 .854 

10 .990 .783 

20 .0 59 .999 



99 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 75 - 75 
F X M D F 



180 19 .072 .998 
18 .123 .997 
17 .201 .993 
16 .311 .987 
15 .454 .976 
14 .620 .957 
13 .785 .925 



.240 23 .116 .997 



.290 22 .614 .955 



22 


.182 


.994 


21 


.743 


.933 


21 


.272 


.989 


20 


.853 


.903 


20 


.388 


.981 


19 


.930 


.867 


19 


.525 


.967 


18 


.974 


.825 


18 


.671 


.947 


.300 30 


.038 


.999 


17 


.806 


.918 


29 


.064 


.998 



.340 26 .565 .962 

25 .683 .944 

24 .799 .921 

23 .886 .892 

22 .946 .858 

21 .978 .822 

.360 35 .052 .999 



190 



12 .912 .876 

11 .978 .812 

21 .036 .999 

20 .065 .998 

19 .113 .997 

18 .184 .994 

17 .285 .989 



.250 



16 .909 .878 

15 .968 .830 

26 .037 .999 

25 .063 .998 

24 .105 .997 

23 .166 .994 

22 .250 .990 



28 .103 .997 

27 .159 .994 

26 .235 .990 

25 .332 .984 

24 .449 .975 

23 .578 .960 

22 .707 .940 



33 .C8B .997 

32 .1 55 .995 

31 .200 .992 

30 .283 .987 

29 .384 .980 

28 .499 .969 

27 .620 .955 



,200 



16 .417 .979 
15 .575 .963 
14 .739 .935 
13 .877 .894 
12 .961 .837 
22 .033 .999 
20 .103 .997 



21 .358 .983 

20 .488 .971 

19 .630 .954 

18 .768 .928 

17 .880 .892 

16 .952 .848 

15 .986 .799 



.310 



21 .822 .913 

20 .908 .880 

19 .962 .841 

18 .988 .799 

31 .034 .999 

30 .057 .998 

29 .093 .997 



.380 



26 .756 .935 

25 .8 55 .911 

24 .910 .882 

23 .958 .849 

22 .984 .814 

37 .025 .999 

35 .071 .993 



19 .168 .995 

18 .260 .990 

17 .383 .982 

16 .532 .968 

15 .693 .944 

14 .838 .908 

13 .938 .859 



.260 



27 .033 .999 
25 .095 .997 
24 .151 .995 
23 .229 .991 
22 .330 .985 
21 .453 .975 
20 .591 .959 



28 .145 .995 

27 .215 .992 

26 .307 .986 

25 .417 .977 

24 .542 .965 

23 .671 .947 

22 .789 .922 



34 .111 .996 

33 .166 .994 

32 .259 .990 

31 .350 .984 

30 .457 .975 

29 .553 .963 

28 .671 .947 



.210 



12 .985 .798 

23 .030 .999 

21 .093 .997 

20 .153 .995 

19 .238 .991 

.352 .984 

.492 .972 



18 

17 



.270 



19 .729 .936 

18 .848 .905 

17 .932 .865 

16 .977 .818 

28 .030 .999 

26 .086 .998 

25 .137 .996 



.320 



21 .884 .892 

20 .947 .856 

19 .980 .816 

32 .030 .999 

30 .084 .998 

29 .131 .996 

28 .197 .992 



.400 



27 .778 .926 

26 .867 .901 

25 .950 .872 

24 .968 .840 

23 .988 .806 

38 .054 .999 

37 .056 .998 



.220 



.230 



16 .648 .952 

15 .797 .921 

14 .910 .877 

13 .973 .822 

24 .027 .999 

22 .085 .998 

21 .139 .996 



20 .218 .992 
19 .323 .986 
18 .455 .975 
17 .605 .958 
16 .755 .931 
15 .878 .893 
14 .956 .843 



13 .989 .787 

25 .025 .999 

23 .077 .998 

.127 .996 

.199 .993 

20 .297 .987 

19 .420 .978 



22 
21 



.280 



24 


.209 


.992 


27 


.262 


.988 


23 


.304 


.986 


26 


.388 


.980 


22 


.420 


.978 


25 


.508 


.969 


21 


.553 


.964 


24 


.635 


.952 


20 


.690 


.943 


23 


.756 


.930 


19 


.814 


.915 


22 


.857 


.902 


18 


.908 


.879 


21 


.929 


.869 


17 


.964 


.836 


20 


.971 


.831 


16 


.990 


.789 .330 33 


.027 


.999 


29 


.027 


.999 


31 


.076 


.998 


27 


.078 


.998 


30 


.1 19 


.996 


26 


.125 


.996 


29 


.180 


.993 


25 


.191 


.993 


28 


.260 


.989 


24 


.279 


.988 


27 


.359 


.982 


23 


.389 


.980 


26 


.475 


.972 


22 


.517 


.968 


25 


.600 


.957 


21 


.652 


.950 


24 


.722 


.938 


20 


.779 


.925 


23 


.829 


.912 


19 


.882 


.892 


22 


.909 


.881 


18 


.949 


.852 


21 


.960 


.845 


17 


.983 


.808 


20 


.985 


.807 



.420 



36 .090 .997 

35 .1 57 .995 

34 .201 .992 

33 .28? .987 

32 .37Q .980 

31 .490 .970 

30 .606 .957 



29 .718 .939 

28 .816 .918 

27 .893 .892 

26 .945 ,863 

25 .976 .832 

40 .026 .999 

38 .07P .998 



37 .11? .996 

36 .167 .994 

35 .258 .990 

34 .327 .984 

33 .450 .976 

32 .54? .965 

31 .655 .950 



.240 



18 .564 .963 

17 .712 .940 

16 .843 .906 

15 .934 .862 

14 .981 .810 

25 .040 .999 

24 .070 .998 



.290 30 .024 .999 

28 .071 .998 

27 .113 .996 

26 .174 .994 

25 .256 .989 

24 .360 .982 

23 .482 .971 



.340 34 .024 .999 

32 .0b8 .998 

31 .108 .997 

30 .164 .994 

29 .239 .990 

28 .332 .984 

27 .443 .975 



,440 



30 .760 .932 

29 .049 .909 

28 .914 .883 

.957 .855 

.982 .824 

41 .054 .999 

40 .057 .998 



27 
26 



100 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 75 - 80 
F X M D F 



,440 39 .090 .997 

38 .137 .995 

37 .200 .992 

36 .279 .988 

35 .374 .981 

34 .480 .972 

33 .593 .959 



32 .702 .943 

31 .799 .924 

30 .877 .901 

29 .932 .875 

28 .967 .847 

27 .986 .818 

,460 43 .026 .999 



.520 42 .268 .988 

41 .359 .982 

40 .462 .974 

39 .569 .963 

38 .675 .950 

37 .770 .933 

36 .850 .914 



35 .910 .893 

34 .951 .869 

33 .976 .845 

32 .989 .820 

.540 49 .023 .999 

47 .067 .998 

U6 .105 .997 



.600 45 .548 .968 
44 .653 .956 



.800 55 .956 .915 
54 .966 .899 



.650 



43 


.749 


.941 


53 


.984 


.883 


42 


.830 


.925 .850 68 


.060 


.999 


41 


.893 


.906 


67 


.119 


.997 


40 


.938 


.886 


d6 


.206 


.994 


39 


.967 


.865 


65 


.320 


.990 


3 3 


.984 


.844 


64 


.451 


.984 


56 


.034 


.999 


&3 


.586 


.975 


55 


.059 


.998 


62 


.709 


.965 


54 


.097 


.997 


bl 


.81 1 


.952 


53 


.150 


.995 


60 


.887 


.939 


52 


.219 


.992 


59 


.95=! 


.924 


51 


.304 


.987 


58 


.969 


.909 



41 


.071 


.998 


40 


.111 


.996 


39 


.165 


.994 


38 


.235 


.990 


37 


.322 


.985 


36 


.422 


.977 


35 


.531 


.967 


34 


.641 


.953 


33 


.745 


.936 


32 


.833 


.916 


31 


.901 


.892 


30 


.947 


.867 


29 


.975 


.839 


28 


.990 


.81 1 



.560 



45 .157 .994 
44 .225 .991 
43 .308 .986 
42 .405 .979 
41 .510 .970 
40 .617 .956 
39 .718 .944 



38 .806 .927 
37 .877 .907 
36 .929 .885 
35 .962 .863 
34 .982 .839 
50 .030 .999 
48 .082 .998 



.700 



50 .402 .981 

49 .509 .973 

48 .615 .962 

47 .716 .949 

46 .803 .934 

45 .872 .913 

44 .923 .900 



43 .957 .881 

42 .978 .861 

41 .990 .841 

60 .023 .999 

58 .074 .998 

57 .120 .996 

56 .184 .994 



,900 



,950 



57 .985 .894 

71 .054 .999 

70 .127 .997 

.24? .994 

,380 .989 

67 .547 .981 

66 .69-^ .971 



69 
68 



65 .81^ .960 

64 .896 .947 

63 .940 .933 

62 .976 .918 

73 .110 .998 

72 .280 .995 

71 .494 .988 



.480 



.500 



,520 



44 .033 .999 

43 .056 .998 

42 .089 .997 

41 .135 .995 

40 .197 .992 

39 .274 .988 

38 .367 .982 



37 .471 .973 

36 .580 .961 

35 .687 .947 

34 .784 .929 

33 .862 .908 

32 .921 .884 

31 .959 .859 



30 .981 .832 

46 .025 .999 

44 .070 .998 

43 .109 .996 

42 .162 .994 

41 .231 .991 

40 .316 .985 



39 .414 .978 

38 .520 .968 

37 .629 .956 

36 .730 .940 

35 .819 .921 

34 ,888 .900 

33 .937 .877 



32 .968 .852 

31 .986 .826 

47 .032 .999 

46 .054 .998 

45 .086 .997 

44 .131 .996 

43 .192 .993 



.580 



,600 



47 


.126 


.996 


55 


.265 


.990 




70 


.695 


.978 


46 


.186 


.993 


54 


.361 


.985 




69 


.842 


.967 


45 


.261 


.989 


53 


.468 


.977 




t)8 


.929 


.954 


44 


.351 


.983 


52 


.578 


.963 




67 


.973 


.940 


43 


.452 


.976 


51 


.683 


.956 










42 


.558 


.966 


50 


.776 


.943 










41 


.663 


.953 


49 


.852 


.928 










40 


.759 


.937 


48 


.909 


.91 1 


POPULATION 


80 


39 


.839 


.920 


47 


.948 


.894 










38 


.901 


.900 


46 


.972 


.875 


.003 


1 


.237 


.999 


37 


.944 


.878 


45 


.987 


.857 


.004 


1 


.315 


.998 


36 


.971 


.856 .750 63 


.026 


.999 


.005 


1 


.394 


.997 


35 


.987 


.833 


61 


.089 


.998 


.006 


1 


.ii7? 


.995 


51 


.037 


.999 


60 


.146 


.996 


.007 


2 


.119 


.999 


50 


.062 


.998 


59 


.222 


.993 




1 


.549 


.992 


49 


.099 


.997 


58 


.317 


.988 


.008 


2 


.ISO 


.999 


48 


.151 


.995 


57 


.425 


.982 




1 


.624 


.988 


47 


.217 


.992 


56 


.540 


.973 


.009 


2 


. 135 


.999 


46 


.300 


.987 


55 


.652 


.963 




1 


.69« 


.981 


45 


.395 


.980 


54 


.752 


.951 


.010 


2 


.22? 


.998 


44 


.500 


.972 


53 


.834 


.937 




1 


.769 


.972 


43 


.606 


.961 


52 


.897 


.921 


.01 1 


2 


.261 


.998 


42 


.707 


.947 


51 


.941 


.905 




1 


.85U 


.957 


41 


.796 


.931 


50 


.968 


.888 


.012 


2 


.301 


.997 


40 


.868 


.913 


49 


.984 


.871 




1 


.891 


.937 


39 


.921 


.893 .800 66 


.028 


.999 


.013 


3 


.09 5 


.999 


38 


.957 


.872 


'^U 


.105 


.997 




2 


.34U 


.996 


37 


.978 


.850 


63 


.174 


.995 




1 


.957 


.907 


53 


.027 


.999 


62 


.267 


.991 


.014 


3 


.114 


.999 


51 


.076 


.998 


61 


.378 


.986 




2 


.38«^ 


.994 


50 


.119 


.996 


60 


.499 


.979 




1 


.968 


.869 


49 


.178 


.994 


59 


.619 


.969 


.015 


3 


.1 54 


.999 


48 


.252 


.990 


58 


.729 


.958 




2 


.454 


.993 


47 


.341 


.984 


57 


.820 


.945 




1 


.987 


.824 


46 


.442 


.977 


56 


.889 


.931 


.016 


3 


.156 


.999 



101 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 
F X 



,016 
.017 



,018 



,019 



,020 



,021 



,022 



,023 



.024 



,025 



,026 



,028 



.030 



,032 



,034 



,036 



,038 



,040 



,042 



,044 



2 .480 .990 



3 


.180 


.998 


2 


.527 


.988 


3 


.205 


.998 


2 


.575 


.985 


4 


.072 


.999 


3 


.232 


.997 


2 


.622 


.980 


4 


.084 


.999 


3 


.260 


.997 


2 


.669 


.975 


4 


.098 


.999 


3 


.290 


.996 


2 


.716 


.969 


4 


.1 12 


.999 


3 


.321 


.995 


2 


.761 


.961 


4 


.128 


.999 


3 


.353 


.994 


2 


.803 


.952 


4 


.144 


.998 


3 


.386 


.992 


2 


.842 


.940 


4 


.162 


.998 


3 


.420 


.991 


2 


.878 


.926 


5 


.062 


.999 


4 


.181 


.998 


3 


.455 


.989 


2 


.909 


.910 


5 


.081 


.999 


4 


.223 


.997 


3 


.526 


.984 


2 


.955 


.871 


5 


.103 


.999 


4 


.268 


.995 


3 


.599 


.978 


2 


.982 


.825 


5 


.129 


.998 


4 


.317 


.994 


3 


.672 


.970 


6 


.059 


.999 


5 


.15B 


.998 


4 


.370 


.992 


3 


.742 


.958 


6 


.075 


.999 


5 


.190 


.997 


4 


.426 


.989 


3 


.807 


.943 


6 


.093 


.999 


5 


.226 


.996 


4 


.484 


.985 


3 


.364 


.923 


6 


.114 


.999 


5 


.265 


.995 


4 


.544 


.980 


3 


.91 1 


.900 


7 


.055 


.999 


6 


.137 


.998 


5 


.306 


.993 


4 


.605 


.974 


3 


.946 


.872 


7 


.068 


.999 



.044 



.046 



.048 



.050 



,052 



.054 



.056 



.053 



.060 



.062 



.064 



.066 



.063 



6 .163 .997 



5 


.351 


.991 


4 


.665 


.967 


3 


.970 


.842 


7 


.082 


.999 


6 


.191 


.997 


5 


.398 


.989 


4 


.723 


.957 


3 


.985 


.810 


7 


.099 


.999 


6 


.223 


.996 


5 


.448 


.986 


4 


.779 


.945 


8 


.049 


.999 


7 


.118 


.998 


6 


.256 


.994 


5 


.498 


.982 


4 


.829 


.931 


3 


.060 


.999 


7 


.139 


.996 



6 .293 .993 



5 .550 .977 

4 .873 .914 
8 .072 .999 
7 .163 .997 

6 .331 .991 

5 .603 .972 
4 .910 .895 



8 .086 .999 



7 


.188 


.996 


6 


.372 


.989 


5 


.655 


.965 


4 


.939 


.873 


9 


.044 


.999 


8 


.102 


.996 


7 


.216 


.995 


6 


.415 


.987 


5 


.706 


.957 


4 


.961 


.850 


9 


.053 


.999 


9 


.120 


.996 


7 


.246 


.994 



6 .459 .984 

5 .754 ,947 
4 .976 .827 
9 .063 .999 
8 .139 .996 

7 .278 .993 

6 .505 .980 



5 .300 .936 

4 .936 .803 
9 .075 .999 
8 .160 .997 
7 .312 .992 

6 .551 .975 

5 .841 .923 



9 .038 .999 

8 .183 .996 
7 .348 .990 
6 .598 .970 
5 .377 .908 

10 .047 .999 

9 .103 ,998 



.068 



,070 



.075 



.080 



.085 



.095 



a .208 .995 



7 


.3d6 


.987 


6 


.644 


.964 


5 


.908 


.892 


10 


.055 


.999 


9 


.1 19 


.993 


8 


.235 


.994 


7 


.425 


.985 


6 


.689 


.957 


5 


.934 


.874 


10 


.082 


.999 


9 


,166 


.997 


8 


.310 


.991 


7 


.528 


.976 



6 .794 .934 

5 .974 .827 
11 .056 .999 
10 .117 .996 

9 .224 .994 

6 .395 .986 

7 .633 .964 



6 


.880 


.904 


12 


.039 


.999 


10 


.160 


.996 


9 


.291 


.991 


8 


.487 


.979 


7 


.734 


.947 



6 .939 .868 



.090 12 .057 ,999 



1 1 


,1 14 


.998 


10 


.212 


.995 


9 


.367 


.987 


3 


.583 


.969 


7 


.823 


.924 


6 


.973 


.828 


13 


.039 


.999 


1 1 


.153 


.997 


10 


.273 


.992 


9 


.451 


.981 


8 


.679 


.955 


7 


.893 


.895 


6 


.990 


.788 



.100 13 .056 .999 



12 


.110 


.998 


1 1 


.201 


.995 


10 


.343 


.988 


9 


.540 


.973 


8 


.767 


.937 


7 


.942 


.863 



.105 14 .039 .999 

12 .146 .997 

1 1 .257 .992 

10 .419 .983 

9 .629 .962 

8 .343 .915 

7 .972 .828 



.110 14 .055 .999 

13 .106 .998 

12 .190 .995 

1 1 .320 .989 

10 .500 .976 

9 .715 .947 

8 .903 .888 



,110 
,115 



.120 



,125 



,130 



,135 



.140 



.145 



,150 



ON 


80 - 


- 80 


M 


D 


F 


7 


.983 


.793 


15 


.059 


.999 


13 


.140 


.997 


12 


.241 


.993 


1 1 


.390 


.984 


10 


.584 


.967 


9 


.79^ 


.929 



8 .945 .859 

15 .054 .999 

14 .101 .998 

13 .180 .995 

12 .299 .990 

11 .i;65 .978 

10 .667 .955 



9 .e59 .907 

B .97^ .829 

16 .C5« .999 

14 .1 53 .997 

13 .227 ,993 

12 .364 .986 

11 .54-^ .971 



10 


.74S 


.940 


9 


.91 1 


.883 


8 


.936 


.798 


16 


.C5P 


.999 


15 


.C97 


.998 


14 


.170 


.995 


13 


.280 


.991 


12 


.453 


.981 


1 1 


.e2-> 


.961 


10 


.61U 


.922 


9 


.947 


.856 


17 


.0 57 


.999 


15 


.126 


.997 


14 


.213 


.994 


13 


.55-3 


.937 


12 


.506 


.974 


1 1 


.690 


.94=« 


10 


.e72 


.901 


9 


.971 


.829 


17 


.050 


.999 


16 


.095 


.993 


15 


.16'^ 


.996 


14 


.26? 


.991 


13 


.404 


.982 


12 


.581 


.96=; 


1 1 


.769 


.933 


10 


.917 


.878 


9 


.9b5 


.802 


16 


.C 56 


.999 


16 


.no 


.997 


15 


.200 


.994 


14 


.317 


.988 


13 


.473 


.977 


12 


.655 


.955 


1 1 


.851 


.916 



10 ,949 .854 

18 .043 .999 

17 .083 .998 

16 .151 .996 

15 .246 .992 

14 .377 .984 

13 .543 .969 



102 



FINITE QUEUING TABLF<; 



POPULATION 

F X M 



80 



80 



150 



155 



165 



170 



180 



190 



12 


.7?5 


.942 


1 1 


.882 


.896 


10 


.971 


.829 


19 


.034 


.999 


17 


.113 


.997 


16 


.188 


.994 


15 


.297 


.989 


la 


.441 


.979 


13 


.614 


.960 


1? 


.789 


.927 


1 1 


.922 


.875 


10 


.984 


.804 



.200 



,160 19 .046 .999 
18 .083 .998 



,200 



17 


.142 


.996 


16 


.230 


.992 


15 


.353 


.985 


14 


.508 


.972 


13 


.683 


.949 


12 


.845 


.910 


1 1 


.951 


.852 


20 


.033 


.999 


18 


.106 


.997 


17 


.177 


.995 


16 


.278 


.990 


15 


.413 


.981 


14 


.576 


.965 


13 


.748 


.936 


12 


.890 


.891 


1 1 


.971 


.829 


20 


.044 


.999 


19 


.079 


.998 


18 


.1 34 


.996 


17 


.216 


.993 


16 


.330 


.987 


15 


.476 


.975 


14 


.644 


.955 


13 


.806 


.922 


12 


.926 


.872 


1 1 


.983 


.807 


21 


.042 


.999 


20 


.074 


.998 


19 


.1 26 


.997 


18 


.202 


.993 


17 


.309 


.988 


16 


.446 


.978 


15 


.606 


.960 


14 


.768 


.931 


1 3 


.898 


.888 


12 


.971 


.830 


22 


.040 


.999 


21 


.070 


.998 


20 


.118 


.997 


19 


.190 


.994 


18 


.289 


.989 


17 


.418 


.980 


16 


.571 


.964 


15 


.730 


.939 


14 


.866 


.901 


13 


.954 


.849 


23 


.037 


.999 


22 


.066 


.998 


21 


.111 


.997 



.210 



= 20 



,230 



.240- 



,250 



20 


.178 


.994 


19 


.571 


.990 


18 


.392 


.982 


17 


.537 


.966 


16 


.693 


.946 


15 


.834 


.913 


14 


.933 


.867 


13 


.982 


.81 1 


24 


.035 


.999 


22 


.104 


.997 


21 


.166 


.995 


20 


.253 


.991 


19 


.367 


.983 


18 


.506 


.971 



.260 



17 .657 .952 
16 .800 .922 
15 .909 .831 
14 .971 .830 
25 .033 .999 
23 .097 .997 
22 .156 .995 



21 .237 .991 

20 .345 .985 

19 .476 .974 

18 .622 .957 

17 .766 .931 

16 .333 .894 

15 .956 .848 



14 .939 .794 
26 .031 .999 
24 .091 .998 
23 .146 .99b 
22 .222 .992 
21 .323 .986 
20 .448 .976 



19 .589 .961 
13 .732 .938 
17 .855 .905 
16 .939 .863 
15 .932 .813 
27 .029 .999 
25 .035 ,99b 



24 .136 .996 
23 .208 .993 
22 .303 .987 
?1 .422 .978 
20 .558 .965 
19 .699 ,944 
18 .825 .915 



17 


.919 


.876 


IS 


.972 


.331 


28 


.027 


.999 


26 


.079 


.998 


25 


.127 


.996 


24 


.194 


.993 


?3 


.284 


.988 


22 


.397 


.980 


21 


.527 


.966 


20 


.666 


.949 


19 


.795 


.923 


13 


.896 


.888 


17 


.959 


.646 


16 


.988 


.799 



.270 



.280 



.290 



.300 



29 


.025 


.999 


27 


.074 


.998 


26 


.1 19 


.996 


25 


.182 


.994 


24 


.266 


.989 


23 


.373 


.982 


22 


.499 


.971 


21 


.634 


.954 


20 


.764 


.931 


19 


.872 


.899 


18 


.944 


.860 


17 


.981 


r816 


29 


.041 


.999 


28 


.069 


.993 


27 


.110 


.997 


26 


.170 


.994 


25 


.249 


.990 


24 


.351 


.934 


23 


.471 


.974 


22 


.603 


.959 



.310 



21 .734 .937 



20 


.346 


.903 


19 


.927 


.872 


18 


.973 


.831 


30 


.038 


.999 


29 


.064 


.999 


28 


.103 


.997 


27 


.158 


.995 


26 


.233 


.991 


''5 


.330 


.985 


24 


.445 


.976 


23 


.573 


.962 


22 


.703 


.943 


21 


.319 


.917 


20 


.907 


.884 


19 


.962 


.845 


18 


.988 


.803 


31 


.035 


.999 


30 


.059 


.998 


29 


.096 


.997 


28 


.148 


.995 


''7 


.218 


.992 


26 


.309 


.986 


25 


.420 


.978 


24 


.544 


.966 


23 


.673 


.948 


22 


.792 


.924 


21 


.886 


.894 


20 


.949 


.85° 


19 


.962 


.818 


32 


.033 


.999 


^0 


.089 


.997 


29 


.138 


.996 


28 


.204 


.992 


27 


.290 


.933 


26 


.396 


.930 


25 


.517 


.969 


24 


.643 


.953 


23 


.763 


.931 


22 


.363 


.903 


21 


.934 


.869 


20 


.974 


.831 



.320 



330 



,340 



,360 



31 


.082 


.993 


30 


.123 


.996 


29 


.191 


.993 


28 


.272 


.989 


27 


.373 


.982 


26 


.490 


.971 


25 


.614 


.957 


24 


.755 


.937 


23 


.840 


.91 1 


22 


.917 


.880 


21 


.964 


.844 


20 


.933 


.806 


34 


.025 


.999 


32 


.076 


.998 


31 


.119 


.996 


30 


.17<5 


.994 


29 


.255 


.990 


28 


.352 


.983 


^7 


.464 


.974 


26 


.586 


.961 


25 


.70-7 


.942 


24 


.815 


.918 


23 


.893 


.889 


<:2 


.95^ 


.856 


21 


.982 


.819 


35 


.025 


.999 


33 


.071 


.998 


32 


.110 


.997 



,"^10 33 .030 .999 



31 .166 .994 

30 .259 .990 

29 .351 .985 

2H .459 .976 

27 .553 .964 

26 .679 .947 

25 .789 .925 



24 .870 .898 

23 .940 .866 

22 .975 .832 

36 .02^ .999 

34 .06'=^ .998 

33 .102 .997 

32 .154 .995 



31 .224 .991 

30 .311 .986 

29 .415 .978 

28 .551 .967 

27 .651 .952 

26 .76^ .931 

25 .357 .906 



24 .925 .876 

23 .967 .843 

22 .938 .808 

37 .053 .999 

35 .088 .997 

34 .15-^ .996 

33 .195 .993 



32 .274 .983 

31 .370 .982 

30 .480 .972 

29 .596 .959 

28 .711 .942 

27 .812 .920 

26 .391 .394 



103 



FINITE QUEUING TABLES 

X M D F X 
.360 
.380 



POPULATION 80 - 80 
F X M D F 



,400 



.420 



,440 



,460 



25 


.946 


.864 .460 42 


.134 


.995 .540 46 


.290 


.983 .650 53 


.45? 


.980 


24 


.977 


.832 


"1 


.194 


.993 


45 


.381 


.982 


52 


.5 56 


.971 


39 


.028 


.999 


40 


.269 


.989 


44 


.481 


.974 


51 


.659 


.961 


37 


.074 


.998 


39 


.358 


.983 


43 


.585 


.963 


50 


.75^ 


.943 


36 


.1 14 


.996 


38 


.458 


.975 


42 


.685 


.951 


49 


.815 


.934 


35 


.169 


.994 


37 


.565 


.964 


41 


.776 


.935 


48 


.879 


.918 


34 


.241 


.990 


36 


.671 


.950 


40 


.851 


.918 


47 


.927 


.901 


33 


.329 


.985 


35 


.768 


.934 


39 


.909 


.898 


46 


.959 


.883 


32 


.432 


.977 


34 


.849 


.914 


38 


.949 


.877 


45 


.979 


.865 


31 


.544 


.966 


33 


.910 


.891 


37 


.974 


.855 


44 


.990 


.846 


30 


.658 


.951 


32 


.952 


.867 


36 


.983 


.833 .700 63 


.056 


.999 


29 


.764 


.932 


^1 


.977 


.841 .560 53 


.031 


.999 


62 


.06^ 


.998 


28 


.853 


.909 .480 47 


.028 


.999 


51 


.082 


.998 


61 


• lO"' 


.997 


27 


.919 


.882 


45 


.075 


.996 


50 


.125 


.996 


60 


.15^ 


.995 


26 


.961 


.853 


44 


.114 


.996 


49 


.132 


.994 


59 


.251 


.992 


25 


.984 


.821 


43 


.167 


.994 


48 


.253 


.990 


58 


.318 


.988 


41 


.023 


.999 


42 


.235 


.991 


47 


.339 


.985 


57 


.^^o. 


.982 


39 


.063 


.998 


41 


.318 


.986 


46 


.435 


.978 


56 


.524 


.974 


38 


.098 


.997 


40 


.413 


.979 


45 


.538 


.969 


55 


.629 


.964 


37 


.146 


.995 


39 


.517 


.969 


44 


.640 


.957 


54 


.726 


.952 


36 


.210 


.992 


33 


.623 


.957 


43 


.736 


.944 


53 


.610 


.939 


35 


.'291 


.987 


37 


.723 


.943 


42 


.818 


.927 


52 


.876 


.924 


34 


.386 


.980 


36 


.81 1 


.925 


41 


.883 


.909 


51 


.924 


.908 


33 


.494 


.971 


35 


.832 


.904 


40 


.931 


.890 


50 


.957 


.892 


32 


.606 


.958 


34 


.932 


.882 


39 


.962 


.869 


49 


.977 


.874 


31 


.714 


.942 


33 


.965 


.858 


38 


.931 


.848 


48 


.989 


.857 


30 


.810 


.922 


32 


.984 


.833 .580 55 


.023 


.999 .750 67 


.02*^ 


.999 


29 


.886 


.898 .500 49 


.022 


.999 


53 


.066 


.998 


65 


.085 


.998 


28 


.940 


.871 


47 


.061 


.998 


52 


.103 


.997 


64 


.1 5=> 


.996 


27 


.972 


.842 


46 


.095 


.997 


51 


.154 


.995 


63 


.210 


.993 


26 


.989 


.812 


45 


.142 


.995 


50 


.219 


.992 


62 


.299 


.989 


42 


.032 


.999 


44 


.204 


.992 


49 


.299 


.987 


ol 


.40? 


.984 


40 


.082 


.998 


43 


.230 


.988 


48 


.391 


.981 


oO 


.51? 


.976 


39 


.125 


.996 


42 


.370 


.982 


47 


.492 


.973 


59 


.62? 


.967 


38 


.182 


.993 


m 


.470 


.974 


46 


.595 


.963 


58 


.72^ 


.956 


37 


.256 


.989 


40 


.575 


.964 


45 


.694 


.951 


57 


.809 


.944 


36 


.344 


.984 


39 


.678 


.950 


44 


.782 


.936 


56 


.876 


.930 


35 


.446 


.976 


38 


.771 


.934 


43 


.855 


.920 


55 


.925 


.915 


34 


.555 


.965 


37 


.849 


.916 


42 


.910 


.901 


54 


.958 


.899 


33 


.664 


.950 


36 


.909 


.895 


41 


.949 


.882 


53 


.978 


.883 


32 


.765 


.933 


35 


.950 


.373 


40 


.973 


.861 


52 


.989 


.866 


31 


.850 


.91 1 


34 


.975 


.349 


39 


.987 


.840 .800 70 


.053 


.999 


30 


.914 


.887 


33 


.989 


.825 .600 56 


.031 


.999 


68 


.113 


.997 


29 


.956 


.860 .520 50 


.030 


.999 


54 


.084 


.998 


67 


.183 


.995 


28 


.980 


.832 


48 


.079 


.998 


53 


.128 


.996 


t.6 


.274 


.991 


44 


.026 


.999 


47 


.120 


.996 


52 


.187 


.993 


65 


.38? 


.986 


42 


.069 


.998 


46 


.175 


.994 


51 


.260 


.990 


64 


.500 


.979 


41 


.106 


.997 


45 


.245 


.990 


50 


.348 


.935 


63 


.617 


.970 


40 


.157 


.994 


44 


.329 


.985 


49 


.446 


.978 


62 


.72"^ 


.960 


39 


.223 


.991 


43 


.425 


.978 


48 


.548 


.969 


61 


.81 3 


.948 


38 


.305 


.986 


42 


.528 


.969 


47 


.650 


.957 


60 


.88? 


.935 


37 


.401 


.979 


41 


.631 


.957 


46 


.743 


.944 


59 


.951 


.920 


36 


.506 


.970 


40 


.729 


.943 


45 


.823 


.929 


58 


.96? 


.905 


35 


.615 


.958 


39 


.814 


.926 


44 


.387 


.912 


57 


.981 


.890 


34 


.719 


.942 


38 


.882 


.907 


43 


.932 


.893 .850 73 


.058 


.999 


33 


.810 


.923 


37 


.931 


.886 


42 


.963 


.874 


72 


.080 


.998 


32 


.883 


.901 


36 


.963 


.864 


41 


.981 


.854 


71 


.147 


.996 


31 


.935 


.877 


35 


.982 


.841 .650 60 


.026 


.999 


70 


.241 


.993 


30 


.968 


.851 .540 52 


.023 


.999 


58 


.075 


.998 


69 


.357 


.989 


29 


.986 


.823 


50 


.064 


.998 


57 


.1 17 


.996 


68 


.436 


.982 


45 


.035 


.999 


49 


.100 


.997 


56 


.174 


.994 


67 


.615 


.974 


44 


.057 


.998 


48 


.149 


.995 


55 


.247 


.991 


66 


.751 


.964 


43 


.090 


.997 


47 


.212 


.992 


54 


.334 


.986 


65 


.826 


.952 



104 



.FINITE QUEUING TABLES 



POPULATION 80 



85 



M 



D 



.850 64 .895 .939 
63 .942 .925 
62 .970 .91 1 
61 .986 .897 

.900 76 .038 .999 
75 .094 .998 
74 .189 .996 



.950 



X 
.019 
.020 

.021 

.022 
.023 

.024 
.025 



72 .961 .947 .026 
71 .986 .934 



73 


.318 


.992 


72 


.469 


.986 


71 


.620 


.978 


70 


.752 


.967 


69 


.852 


.956 


68 


.920 


.943 


67 


.960 


.930 


66 


.982 


.916 


78 


.090 


.999 


77 


.239 


.996 


76 


.442 


.990 


75 


.645 


.982 


74 


.804 


.971 


73 


.906 


.960 



POPULATION 



.003 
.004 
.005 
.006 
.007 



.008 



.009 



.010 



.01 1 



.012 



3 
2 
1 
.013 3 
2 



.014 



.015 



.016 



.017 



.018 



.019 



85 

252 .999 
335 .998 
419 .996 
5C1 .994 
132 .999 



583 .991 
168 .999 
663 .985 
206 .999 
740 .977 
246 .998 
812 .965 



289 
876 
091 
334 
929 
1 10 
381 



966 
132 
429 
987 
155 
478 
181 



528 
208 
57Q 
074 
236 
630 
087 



,997 
.946 
.999 
.996 
.917 
.999 
.995 



.878 
.999 
.993 
.831 
.999 
.991 
.998 



.988 
.998 
.985 
.999 
.997 
.981 
.999 



.028 



.030 



.032 



,034 



.036 



.038 



.040 



.042 



.044 



.046 



.267 .997 

.680 .975 

.102 .999 

.299 .996 

.729 .969 

.117 .999 

.332 .995 



.777 .960 

.134 .999 

.366 .994 

.821 .949 

.153 .998 

.402 .992 

.862 .936 



.172 .990 

.439 .990 

.397 .920 

.068 .999 

.193 .996 

.476 .988 

.927 .901 



.078 .999 

.215 .997 

.515 .986 

.951 .880 

.101 .999 

.263 .996 

.592 .980 



.981 
.128 
.315 
.670 
.060 
.159 
.372 



.745 
.076 
.193 
.431 
.815 
.096 
.232 



.832 
,999 
,994 
.971 
,999 
.998 
.992 



,959 
,999 
,997 
,989 
,943 
,999 
,996 



.494 .985 

.875 .922 

.118 .998 

.274 .995 

.558 .980 

.922 .896 

.058 .99V 



.144 .996 

.319 .993 

.623 .973 

.956 .866 

.073 .999 

.172 .997 

.367 .991 



4 .637 .965 
3 .978 .833 
7 .089 .999 
6 .204 .996 

5 .419 .988 



.046 



.048 



.050 



.052 



054 



.056 



.058 



.060 



.062 



.064 



.066 



.068 



6 


.239 


.995 


5 


.472 


.985 


4 


.806 


.941 


8 


.055 


.999 


7 


.130 


.998 


6 


.276 


.994 


5 


.527 


.981 


4 


.856 


.924 


8 


.068 


.999 


7 


.154 


.998 


6 


.316 


.992 


5 


.583 


.975 


4 


.899 


.905 



8 .032 .999 



4 .749 .954 
7 .108 .999 



7 


.180 


.997 


6 


.359 


.990 


5 


.639 


.969 


4 


.933 


.883 


a 


.098 


.999 


7 


.209 


.996 


6 


.404 


.988 


5 


.694 


.961 


a 


.958 


.859 


9 


.051 


.999 


8 


.1 16 


.998 


7 


.240 


.995 


6 


.451 


.98f. 


5 


.747 


.951 


4 


.976 


.833 


9 


.0o2 


.999 


8 


.1 36 


.998 


7 


.274 


.994 


6 


.499 


.981 


5 


.796 


.939 


4 


.987 


.808 


9 


.074 


.999 


3 


.139 


.997 


7 


.310 


.992 


6 


.549 


.977 


5 


.841 


.926 


9 


.088 


.999 


8 


.183 


.99':. 


7 


.348 


.990 


6 


.599 


.97? 


5 


.380 


.910 


10 


.047 


.999 


9 


.104 


.995 


8 


.210 


.996 


7 


.389 


.988 


6 


.648 


.965 


5 


.913 


.893 


10 


.057 


.999 


9 


.121 


.998 


8 


.239 


.995 


7 


.431 


.985 


6 


.697 


.958 


5 


.939 


.874 


10 


.067 


.999 


9 


.140 


.997 


9 


.270 


.993 


7 


.474 


.982 


6 


.743 


.949 


5 


.959 


.854 



.070 



.075 



.080 



.085 



,090 



.095 



100 



105 



.110 



10 


.079 


.999 


9 


.161 


.997 


8 


.30? 


.992 


7 


.51P 


.978 


6 


.787 


.939 


5 


.974 


.834 


1 1 


.05A 


.999 


10 


. 1 1 A 


.998 


9 


.222 


.995 


8 


.39? 


.987 


7 


.651 


.966 


6 


.880 


.908 


12 


.039 


.999 


10 


.lo'' 


.997 


9 


.294 


.992 


8 


.491 


.980 


7 


.759 


.948 


6 


.94-^ 


.869 


12 


.059 


.999 


1 1 


.117 


.998 


10 


.21 ^ 


.995 


9 


.37^ 


.987 


8 


.594 


.969 


7 


.83-^ 


.923 


6 


.97^ 


.826 


13 


.L4^ 


.999 


1 1 


.Ibl 


.996 


10 


.28a 


.992 


9 


.466 


.931 


8 


.696 


.954 


7 


.90^ 


.893 


13 


.06 1 


.999 


12 


.118 


.993 


1 1 


.213 


.995 


10 


.360 


.988 


9 


.56 1 


.972 


8 


.78!^ 


.935 


7 


.953 


.857 


14 


.C4U 


.999 


13 


.086 


.998 


12 


.150 


.996 


1 1 


.27^ 


.992 


10 


.44^ 


.982 


9 


.656 


.959 


8 


.866 


.910 


7 


.980 


.820 


14 


.06^ 


.999 


13 


.113 


.998 


12 


.20^ 


.995 


1 1 


.34S 


.988 


10 


.551 


.974 


9 


.746 


.943 


8 


.92"* 


.880 


15 


.04"^ 


.999 


14 


.08^ 


.998 


13 


.156 


.996 



.115 



12 .26"^ .992 

11 .422 .983 

10 .621 .963 

9 .826 .922 

8 .960 .848 

15 .06"^ .999 

14 .116 .997 



105 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 85 - 85 
F X M D F 



115 O .2C2 .995 



120 



125 



,130 



135 



12 


.330 


.989 


1 1 


.504 


.976 


10 


.708 


.950 


9 


.889 


.898 


8 


.982 


.815 


16 


.046 


.999 


15 


.086 


.998 


14 


.153 


.996 


13 


.256 


.992 


12 


.402 


.984 


1 1 


.588 


.967 


10 


.787 


.932 


9 


.935 


.871 


17 


.033 


.999 


15 


.115 


.997 


14 


.196 


.995 


13 


.317 


.989 


12 


.479 


.978 


1 1 


.672 


.955 


10 


.854 


.912 


9 


.966 


.841 


17 


.046 


.999 


16 


.085 


.998 


15 


.149 


.996 


14 


.247 


.992 


1 3 


.384 


.985 


12 


.559 


.969 



11 .750 .940 

10 .907 .888 

9 .983 .812 

18 .033 .999 

16 .113 .997 

15 .190 .995 

14 .303 .989 



.150 13 .631 .952 



,155 



.200 ■>3 .072 .998 



.160 



165 



,170 



12 


.844 


.913 


1 1 


.952 


.856 


■'O 


.034 


.999 


18 


.107 


.997 


17 


.178 


.995 


16 


.279 


.990 



15 .414 .982 

14 .578 .966 

13 .751 .938 

12 .893 .893 

11 .973 .831 

20 .046 .999 

19 .031 .998 



18 


.137 


.996 


17 


.220 


.993 


16 


.335 


.987 


15 


.482 


.976 


14 


.650 


.956 


13 


.813 


.923 


12 


.931 


.872 



11 .985 .807 

21 .033 .999 

19 .104 .997 

18 .171 .995 

17 .267 .991 

16 .395 .983 

15 .551 .969 



14 
13 



,719 .944 
.865 .905 
12 .958 .850 
21 .045 .999 
20 .079 .998 
19 .132 .997 
18 .211 .993 



.210 



.220 



.230 



22 


.1 19 


.997 


21 


.187 


.994 


20 


.280 


.989 


19 


.400 


.962 


18 


.542 


.9d° 


17 


.693 


.94," 


16 


.830 


.916 


15 


.929 


.873 


14 


.979 


.821 


25 


.041 


.999 


24 


.070 


.998 


23 


.1 15 


.997 


22 


.179 


.994 


21 


.268 


.990 


20 


.382 


.983 


19 


.518 


.971 


18 


.665 


.952 


17 


.803 


.924 


16 


.909 


.885 


15 


.969 


.B37 


26 


.040 


.999 


25 


.068 


.998 


24 


.1 10 


.997 


23 


.172 


.995 


22 


.256 


.991 


21 


.365 


.984 


20 


.496 


.973 


19 


.639 


.956 


18 


.776 


.930 


17 


.888 


.895 


16 


.957 


.851 


15 


.9b9 


.801 


27 


.038 


.999 



.250 21 .69q .945 

20 .61Q .919 

19 .911 .885 

18 .965 ,844 

.260 30 .0 54 .999 

28 .09'^ .997 

27 .14U .996 



26 .214 .992 

25 .305 .987 

24 .41S .979 

23 .543 .967 

22 .674 .950 

21 .796 .925 

20 .892 .893 



.270 



,280 



19 


.954 


.355 


18 


.985 


.813 


31 


.053 


.999 


29 


.089 


.993 


28 


.1 57 


.996 


27 


.20U 


.993 


26 


.291 


.988 


25 


.393 


.981 


24 


.521 


.969 


23 


.650 


.953 


22 


.773 


.931 


21 


.873 


.901 


20 


.942 


.866 


19 


.979 


.826 



26 .065 .998 



32 .0 51 .999 

30 .085 .998 

29 .151 .996 

28 .195 .993 

27 .278 .989 

26 .381 .982 

25 .500 .971 



140 



145 



13 


.456 


.979 


17 


.320 


.988 


12 


.638 


.959 


16 


.459 


.977 


1 1 


.819 


.922 


15 


.621 


.960 


10 


.945 


.862 


14 


.781 


.930 


18 


.046 


.999 


13 


.908 


.886 


17 


.084 


.998 


12 


.975 


.827 


16 


.145 


.996 .180 22 


.044 


.999 


15 


.237 


.993 


21 


.077 


.998 


14 


.366 


.985 


20 


.128 


.997 


13 


.531 


.972 


19 


.203 


.994 


12 


.714 


.946 


IS 


.306 


.988 


1 1 


.876 


.902 


17 


.438 


.979 


10 


.969 


.836 


16 


.593 


.963 


19 


.034 


.999 


15 


.751 


.937 


17 


.1 10 


.997 


14 


.882 


.896 


16 


.184 


.995 


13 


.962 


.845 


15 


.291 


.990 .190 23 


.043 


.999 


14 


.434 


.980 


22 


.075 


.998 


13 


.607 


.963 


21 


.124 


.997 


12 


.784 


.931 


20 


.195 


.994 


1 1 


.920 


.879 


19 


.293 


.989 



.240 



25 .106 .997 

24 .164 .995 

23 .245 .991 

22 .349 .985 

21 .474 .975 

20 .613 .959 

19 .750 .936 



18 .865 .904 

17 .943 .864 

16 .983 .817 

28 .037 .999 

26 .101 .997 

25 .157 .995 

24 .234 .991 



23 .334 .986 

22 .454 .976 

21 .589 .962 

20 .724 .941 

19 .843 .912 

18 .928 .875 

17 .975 .831 



,290 



,300 



24 .627 .956 

23 .74Q .936 

22 .85^ .909 

21 .928 .876 

20 .971 .838 

33 .050 .999 

31 .081 .998 



30 .125 .996 

29 .186 .994 

28 .266 .989 

27 .365 .983 

26 .480 .973 

25 .604 .959 

24 .726 .940 



23 .853 .915 

22 .913 .884 

21 .963 .849 

20 .987 .810 

34 .02« .999 

32 .077 .998 

31 .119 .996 



.150 



10 .984 .809 
19 .046 .999 
18 .083 .998 
.141 .996 
.228 .993 
15 .350 .986 
14 .505 .974 



17 
16 



.200 



18 .418 .980 

17 .566 .966 

16 .721 .943 

15 .856 .908 

14 .946 .860 

13 .987 .804 

24 .042 .999 



.250 29 .036 .999 



27 


.097 


.997 


26 


.151 


.995 


25 


.224 


.992 


24 


.319 


.986 


23 


.434 


.978 


22 


.565 


.965 



30 .177 .994 

29 .254 .990 

28 .349 .984 

27 .460 .975 

26 .582 .962 

25 .70^ .944 

24 .81^ .921 



106 



FINITE QUEUING TABLES 



M 



D 



,300 



,310 



.320 



23 .897 .892 

22 .953 .859 

21 .982 .822 

35 .027 .999 

33 .073 .998 

32 .113 .997 

31 .169 .994 



30 .242 .991 
29 .334 .985 
28 .442 .977 
27 .560 .965 
26 .681 .948 
25 .791 .927 
24 .880 .900 



23 .942 .868 

22 .976 .833 

36 .026 .999 

34 .069 .998 

33 .108 .997 

32 .161 .995 

31 .231 .991 



30 


.319 


.986 


29 


.424 


.978 


28 


.540 


.967 


27 


.659 


.952 


26 


.770 


.932 


25 


.863 


.906 


24 


.929 


.877 


23 


.969 


.843 


22 


.989 


.808 


330 37 


.024 


.999 


35 


.066 


.998 


34 


.102 


.997 


33 


.153 


.995 


32 


.220 


.992 


31 


.305 


.987 


30 


.406 


.980 


29 


.519 


.969 


28 


.637 


.955 


27 


.749 


.936 


26 


.845 


.912 


25 


.916 


.884 


24 


.961 


.853 


23 


.985 


.819 


340 37 


.038 


.999 


36 


.062 


.998 


35 


.097 


.997 


34 


.146 


.995 


33 


.210 


.992 


32 


.292 


.988 


31 


.389 


.981 


30 


.500 


.971 


29 


.616 


.958 


28 


.728 


.940 


27 


.826 


.918 


26 


.902 


.892 


25 


.952 


.862 


24 


.980 


.829 


360 39 


.034 


.999 


37 


.087 


.998 


36 


.131 


.996 


35 


.190 


.993 


34 


.266 


.989 



X 

,360 



M 



D 



,380 



.400 



.420 



,440 



33 .357 .983 
32 .462 .975 
31 .575 .963 
30 .687 .948 
29 .789 .926 
28 .872 .905 
27 .931 .877 



,440 



,460 



35 


.821 


.923 


34 


.889 


.902 


33 


.938 


.879 


32 


.969 


.854 


31 


.986 


.828 


48 


.028 


.999 



POPULATION 
F X M 
.520 



.540 



85 - 85 



46 .072 .998 



26 


.968 


.848 


45 


.109 


.997 


25 


.988 


.816 


4U 


.159 


.995 


41 


.030 


.999 


43 


.223 


.991 


39 


.078 


.998 


42 


.302 


.987 


38 


.1 18 


.996 


41 


.393 


.961 


37 


.172 


.994 


40 


.493 


.972 


36 


.242 


.990 


39 


.597 


.961 


35 


.327 


.985 


38 


.698 


.948 


34 


.426 


.978 


37 


.789 


.931 


33 


.535 


.968 


36 


.863 


.912 


32 


.646 


.954 


35 


.919 


.891 


31 


.750 


.937 


34 


.957 


.867 


30 


.339 


.916 


33 


.979 


.843 


29 


.907 


.891 .480 50 


.024 


.999 


28 


.953 


.864 


48 


.063 


.998 


27 


.979 


.835 


47 


.096 


.997 


43 


.026 


.999 


46 


.142 


.995 


41 


.069 


.996 


45 


.201 


.993 


40 


.105 


.997 


44 


.274 


.989 


39 


.155 


.995 


43 


.3bl 


.983 


38 


.219 


.992 


42 


.458 


.976 


37 


.299 


.987 


41 


.561 


.966 


36 


.393 


.961 


40 


.662 


.954 


35 


.497 


.972 


39 


.756 


.939 


34. 


.606 


.960 


38 


.836 


.921 


33 


.712 


.944 


37 


.898 


.901 


32 


.805 


.925 


36 


.942 


.879 


31 


.881 


.903 


35 


.970 


.856 


30 


.934 


.878 


34 


.986 


.833 


29 


.968 


.851 .500 51 


.033 


.999 


28 


.987 


.823 


49 


.084 


.998 


45 


.023 


.999 


48 


.125 


.996 


43 


.061 


.996 


47 


.180 


.994 


42 


.093 


.997 


46 


.248 


.990 


41 


.139 


.995 


45 


.330 


.985 


40 


.198 


.993 


44 


.424 


.979 


39 


.272 


.989 


43 


.524 


.970 


38 


.361 


.983 


42 


.626 


.959 


37 


.461 


.975 


41 


.722 


.945 


36 


.567 


.964 


40 


.807 


.929 


35 


.673 


.951 


39 


.875 


.91 1 


34 


.770 


.934 


38 


.926 


.890 


33 


.852 


.914 


37 


.960 


.869 


32 


.913 


.891 


36 


.980 


.846 


31 


.954 


.866 .520 53 


.028 


.999 


■^c 


.979 


.839 


51 


.072 


.998 


46 


.033 


.999 


50 


.1 10 


.997 


44 


.082 


.998 


49 


.160 


.995 


43 


.123 


.996 


48 


.224 


.992 



42 .178 .994 
"1 .247 .990 
40 .330 .985 
39 .426 .976 
33 .530 .969 
37 .635 .956 
36 .734 .941 



47 .301 .987 

46 .391 .981 

45 .489 .974 

44 .590 .963 

43 .688 .951 

42 .777 .936 

41 .851 .919 



,560 



,580 



,600 



40 


.907 


.900 


39 


.947 


.880 


38 


.97-^ 


.859 


37 


.987 


.837 


55 


.02"^ 


.999 


53 


.06? 


.998 


52 


.09=; 


.997 


51 


.141 


.995 


50 


.200 


.993 


49 


.273 


.989 


48 


.359 


.984 


47 


.454 


.977 


46 


.554 


.968 


45 


.654 


.956 


44 


.745 


.943 


43 


.824 


.927 


42 


.88-' 


.909 


41 


.95^ 


.890 


40 


.96^ 


.870 


39 


.985 


.849 


56 


.03? 


.999 


54 


.08? 


.998 


53 


.123 


.996 


52 


.170 


.994 


51 


.24^ 


.991 


50 


.32a 


.986 


49 


.420 


.980 


48 


.519 


.971 



47 .619 .961 

46 .713 .949 

45 .797 .934 

44 .865 .913 

43 .91'' .900 

42 .953 .880 

41 .975 .860 



40 .988 .840 

58 .026 .999 

56 .070 .998 

55 .107 .997 

54 .156 .995 

53 .220 .992 

52 .297 .988 



51 .387 .982 

50 .484 .975 

49 .584 .966 

48 .631 .954 

47 .768 .941 

46 .84? .925 

45 .899 .908 



44 .940 .890 

43 .967 .871 

42 .984 .851 

59 .0 5==. .999 

58 .050 .998 

57 .091 .997 

56 .136 .996 



55 .195 .993 

54 .26« .990 

53 .354 .985 

52 .449 .978 

51 .549 .970 

50 .647 .959 

49 .7 59 .947 



107 



FINITE QUEUING TABLES 
X M D F X 



.600 



.650 



.700 



,750 



.800 



48 .817 .932 

47 .880 .916 

46 .927 .899 

45 .958 .881 

44 .978 .862 

43 .989 .843 

63 .034 .999 



61 


.091 


.997 


60 


.138 


.996 


59 


.199 


.993 


58 


.275 


.990 


57 


.364 


.985 


56 


.461 


.978 


55 


.562 


.970 


54 


.660 


.960 


53 


.750 


.948 


52 


.826 


.934 


51 


.886 


.919 


50 


.931 


.903 


49 


.960 


.886 



48 .979 .868 



47 .990 

67 .031 

65 .088 

64 .137 

63 .201 

62 .280 

61 .372 



60 
59 
58 
57 
56 
55 
54 



53 
52 
71 
69 
68 
67 
66 



65 
64 
63 
62 
61 
60 
59 



• 473 
.576 
.675 
.764 
.838 
.696 
.937 



.965 
.981 
.026 
.082 
.132 
.199 
.282 



.380 
.486 
.593 
.694 
.783 
.854 
.908 



58 .946 

57 .970 

56 .985 

74 .038 

73 .071 

72 .121 

71 .191 



70 
69 
68 
67 
66 
65 
64 



.281 
.387 
.501 
.614 
.718 
.806 
.875 



.850 
,999 
.998 
,996 
,994 
,990 
,985 



,978 
,970 
,960 
,948 
,935 
,921 
.906 



,890 
,873 
.999 
,998 
,996 
,994 
,990 



,985 
,979 
,971 
,961 
,949 
,937 
.923 



,908 
,893 
.878 
.999 
.998 
.997 
.995 



.991 
,986 
,980 
,972 
,962 
,951 
,938 



,800 



.850 



.900 



.950 



,003 
,004 
,005 
.006 
.007 



,008 



,009 



,010 



,01 1 



.012 



.013 



63 


.925 


.925 


.01 3 


1 


.984 


.844 


62 


.958 


.91 1 


.014 


3 


.152 


.999 


61 


.978 


.897 




2 


.470 


.992 


60 


.989 


.882 


.01 5 


3 


.178 


.998 


77 


.053 


.999 




2 


.524 


.989 


76 


.102 


.998 


.01 6 


3 


.207 


.998 


75 


.176 


.996 




2 


.577 


.986 


74 


.275 


.992 


.017 


3 


.237 


.997 


73 


.392 


.988 




2 


.632 


.982 


72 


.519 


.981 


.018 


4 


.088 


.999 


71 


.642 


.973 




3 


.269 


.997 


70 


.751 


.963 




2 


.685 


.976 


69 


.838 


.952 


.019 


4 


.104 


.999 


68 


.903 


.939 




3 


.303 


.996 


67 


.946 


.926 




2 


.737 


.969 


66 


.972 


.913 


.020 


4 


.121 


.999 


65 


.986 


.899 




3 


.339 


.995 


80 


.069 


.999 




2 


.787 


.960 


79 


.145 


.997 


.021 


4 


.139 


.999 


78 


.257 


.994 




3 


.376 


.994 


77 


.396 


.989 




2 


.834 


.948 


76 


.545 


.983 


.022 


4 


.159 


.998 


75 


.685 


.974 




3 


.414 


.992 


74 


.799 


.964 




2 


.876 


.933 


73 


.883 


.952 


.023 


4 


.160 


.998 


72 


.938 


.940 




3 


.453 


.990 


71 


.970 


.928 




2 


.912 


.915 


70 


.986 


.915 


.024 


5 


.072 


.999 


83 


.073 


.999 




4 


.203 


.998 


82 


.204 


.997 




3 


.493 


.988 


81 


.393 


.992 




2 


.941 


.894 


80 


.594 


.985 


.025 


5 


.063 


.999 


79 


.764 


.976 




4 


.227 


.997 


78 


.880 


.965 




3 


.534 


.985 


77 


.946 


.953 




2 


.963 


.871 


76 


.979 


.941 


.026 


5 
4 
3 
2 


.096 
.252 
.570 
.978 


.999 
.996 
.982 
.845 








.028 


3 

4 

3 


.124 
.307 
.659 


.999 
.995 
.974 


TION 


90 


.030 


6 


.058 


.999 










5 


.156 


.998 


1 


.267 


.999 




4 


.3o6 


.993 


1 


.355 


.998 




3 


.740 


.962 


1 


.443 


.996 


.032 


6 


.076 


.999 


1 


.531 


.993 




5 


.192 


.997 


2 


. 147 


.999 




4 


.429 


.990 


1 


.617 


.989 




3 


.814 


.946 


2 


.185 


.999 


.034 


6 


.097 


.999 


1 


.700 


.983 




5 


.233 


.996 


2 


.227 


.998 




4 


.496 


.986 


1 


.780 


.973 




3 


.378 


.924 


2 


.272 


.996 


.036 


6 


.121 


.999 


1 


.853 


.956 




5 


.277 


.995 


2 


.318 


.997 




4 


.564 


.981 


1 


.914 


.930 




3 


.928 


.896 


3 


.105 


.999 


.038 


7 


.ObO 


.999 


2 


.367 


.995 




6 


.148 


.998 


1 


.959 


.892 




5 


.326 


.993 


3 


.127 


.999 




4 


.633 


.974 


2 


.418 


.994 




3 


.963 


.863 



POPULATION 
F X M 
.040 



.042 



,044 



.046 



.048 



.050 



,052 



.054 



.056 



.058 



.060 



.062 



)N 


85 - 


- 90 


1 





F 


7 


.076 


.999 


6 


.17Q 


.997 


5 


.378 


.991 


4 


.701 


.964 


3 


.98^ 


.828 


7 


.094 


.999 


6 


.213 


.996 


5 


.453 


.988 


4 


.766 


.953 


7 


.115 


.998 


6 


.251 


.995 


5 


.490 


.984 


4 


.82=^ 


.938 


8 


.060 


.999 


7 


.1 39 


.998 


6 


.291 


.994 


5 


.550 


.980 


4 


.877 


.919 


8 


.074 


.999 


7 


.16'=. 


.997 


6 


.355 


.992 


5 


.609 


.974 


4 


.91 "■ 


.897 


8 


.090 


.999 


7 


.194 


.997 


6 


.38? 


.990 


5 


.669 


.966 


4 


.950 


.873 


9 


.047 


.999 


8 


.108 


.998 


7 


-227 


.996 


6 


.451 


.987 


5 


.726 


.957 


4 


.971 


.846 


9 


.058 


.999 


8 


.129 


.998 


7 


.261 


.994 


6 


.48? 


.984 


5 


.781 


.946 


4 


.985 


.819 


9 


.071 


.999 



8 .15? .997 



7 


.299 


.993 


6 


.554 


.979 


5 


.850 


.932 


9 


.085 


.999 


8 


.177 


.997 


7 


.359 


.991 


6 


.587 


.974 


5 


.874 


.917 


10 


.046 


.999 


8 


.205 


.996 


7 


.381 


.989 


6 


.640 


.968 


5 


.910 


.899 


10 


.056 


.999 



.064 



9 .119 .998 

8 .255 .995 
7 .426 .986 
6 .69? .960 
5 .959 .879 

10 .067 .999 

9 .1 59 .998 



108 



FINITE QUEUING TABLES 



POPULATION 90 - 90 



.064 



,066 



.068 



.070 



.075 



8 


.268 


.994 .105 15 


.050 


.999 .1 


140 14 


.485 


.977 .180 22 


.079 


.998 


7 


.472 


.983 


14 


.094 


.998 


13 


.661 


.957 


21 


.1 5n 


.997 


6 


.743 


.951 


13 


.169 


.996 


12 


.330 


.921 


20 


.203 


.994 


5 


.960 


.858 


12 


.283 


.992 


1 1 


.946 


.865 


19 


.303 


.989 


10 


.080 


.999 


1 1 


.445 


.982 .1 


145 20 


.032 


.999 


18 


.451 


.980 


9 


.161 


.997 


10 


.647 


.961 


18 


.102 


.998 


17 


.580 


.966 


8 


.302 


.992 


9 


.848 


.918 


17 


.169 


.996 


16 


.75-^ 


.942 


7 


.519 


.979 


8 


.970 


.841 


16 


.267 


.991 


15 


.86-7 


.906 


6 


.790 


.941 .110 16 


.037 


.999 


15 


.399 


.983 


14 


.953 


.858 


5 


.976 


.836 


14 


.128 


.997 


14 


.562 


.969 


13 


.990 


.801 


1 1 


.04U 


.999 


13 


.220 


.994 


13 


.737 


.943 .190 24 


.04-' 


.999 


9 


.186 


.996 


12 


.354 


.988 


12 


.886 


.900 


23 


.07Q 


.998 


8 


.339 


.990 


1 1 


.533 


.974 


1 1 


.971 


.839 


22 


.12R 


.997 


7 


.567 


.975 


10 


.-737 


.946 .150 20 


.044 


.999 


21 


.I9q 


.994 


6 


.833 


.929 


9 


.909 


.891 


19 


.078 


.998 


20 


.29*=- 


.989 


5 


.986 


.814 


8 


.9<37 


.806 


18 


.132 


.997 


19 


.419 


.981 


1 1 


.053 


.999 .115 16 


.053 


.999 


17 


.213 


.994 


18 


.563 


.967 


10 


.110 


.998 


15 


.097 


.998 


16 


.325 


.988 


17 


.71 3 


.946 


9 


.212 


.995 


14 


.170 


.996 


15 


.471 


.978 


16 


.8U-7 


.913 


8 


.378 


.988 


13 


.280 


.991 


14 


.639 


.959 


15 


.959 


.870 


7 


.615 


.969 


12 


.433 


.982 


13 


.805 


.927 


14 


.984 


.817 


6 


.871 


.915 


1 1 


.623 


.964 


12 


.928 


.878 .200 25 


.047 


.999 


1 1 


.080 


.999 


10 


.818 


.926 


1 1 


.9o5 


.813 


24 


.079 


.998 


10 


.157 


.997 


9 


.952 


.861 .1 


155 21 


.033 


.999 


23 


.127 


.997 


9 


.287 


.992 .120 17 


.039 


.999 


19 


.102 


.998 


22 


.196 


.994 


8 


.482 


.981 


15 


.130 


.997 


18 


.168 


.995 


21 


.289 


.989 


7 


.732 


.951 


14 


.219 


.994 


17 


.262 


.991 


20 


.407 


.981 


6 


.941 


.874 


13 


.347 


.986 


16 


.339 


.984 


19 


.546 


.969 



,080 12 .058 .999 



,085 



.090 



,095 



100 



1 1 


.117 


.998 


10 


.^16 


.995 


9 


.373 


.988 


8 


.592 


.971 


7 


.833 


.926 


6 


.978 


.829 


13 


.043 


.999 


1 1 


.163 


.997 


10 


.287 


.992 


9 


.469 


.981 


8 


.700 


.955 


7 


.910 


.894 


13 


.063 


.999 


12 


.122 


.998 


1 1 


.219 


.995 


10 


.368 


.988 


9 


.571 


.972 


8 


.799 


.934 


7 


.959 


.856 


14 


.046 


.999 


1 3 


.091 


.998 


12 


.166 


.996 


1 1 


.285 


.992 


10 


.457 


.982 


9 


.672 


.959 


8 


.879 


.908 


7 


.984 


.816 


14 


.067 


.999 


13 


.126 


.997 


12 


.220 


.994 


1 1 


.361 


.988 


10 


.551 


.973 


9 


.767 


.941 


8 


.935 


.876 



i125 



.130 



.135 



.140 



12 .516 .975 

11 .710 .950 

10 .383 .903 

9 .977 .830 

17 .055 .999 

16 .099 .996 

15 .170 .996 



14 .276 .991 

13 .421 .983 

12 .602 .966 

11 .789 .933 

10 .931 .877 

9 .990 .799 

18 .041 .999 



16 .131 .997 

15 .217 .994 

14 .340 .988 

13 .500 .976 

12 .685 .954 

1 1 .856 .913 

10 .963 .849 



18 .057 .999 

17 .101 .998 

16 .170 .996 

15 .272 .991 

14 .410 .983 

13 .581 .967 

12 .763 .939 



11 .909 .890 

10 .932 .820 

19 .043 .999 

18 .077 .998 

17 .132 .997 

16 .215 .994 

15 .333 .968 



160 



.16! 



170 



15 .544 .971 

14 .713 .947 

13 .863 .909 

12 .957 .854 

21 .045 .999 

20 .079 .998 

19 .132 .997 



18 .210 .994 

17 .318 .988 

16 .457 .979 

15 .618 .962 

14 .781 .933 

13 .908 .889 

12 .976 .830 



22 .034 .999 
20 .102 .998 



180 



19 


.166 


.995 


18 


.257 


.991 


17 


.379 


.984 


16 


.527 


.972 


15 


.690 


.951 


14 


.840 


.917 


13 


.942 


.867 


12 


.988 


.807 


22 


.046 


.999 


21 


.079 


.998 


20 


.131 


.997 


19 


.206 


.994 


18 


.310 


.989 


17 


.444 


.979 


16 


.599 


.964 


15 


.757 


.936 


14 


.888 


.898 


13 


.965 


.845 


23 


.046 


.999 



.210 



.220 



.230 



18 .693 .949 

17 .826 .920 

16 .924 .880 

15 .977 .831 

27 .027 .999 

25 .078 .998 

24 .125 .997 



23 .19? .994 

22 .28? .990 

21 .396 .982 

20 .5 50 .970 

19 .673 .952 

18 .806 .925 

17 .908 .888 



16 .968 .843 

28 .027 .999 

26 .077 .998 

25 .123 .997 

24 .188 .994 

23 .275 .990 

22 .385 .983 



21 .514 .972 

20 .654 .955 

19 .786 .930 

18 .89? .896 

17 .95*^ .854 

16 .988 .807 

29 .027 .999 



27 .076 .998 

26 .121 .997 

25 .184 .994 

24 .263 .990 

23 .374 .983 

22 .499 .973 

21 .655 .957 



109 



FINITE QUEUING TABLES 



POPULATION 90 - 90 



M 



D 



M 



D 



,230 



,2U0 



20 .767 .934 

19 ,875 .903 

18 .947 .864 

17 .983 .820 

30 .027 .999 

28 .075 .998 

27 .119 .997 



.280 



.290 



24 


.790 


.929 


.330 


34 


.203 


.993 


23 


.882 


.901 




33 


.282 


.989 


22 


.944 


.86e 




32 


.376 


.982 


21 


.979 


.832 




31 


.4b3 


.974 


35 


.025 


.999 




30 


.597 


.961 


33 


.068 


.998 




29 


.709 


.945 



32 .106 .997 



28 .809 .925 



.400 35 .709 .946 

34 .801 ,929 

33 .875 .908 

32 .929 .884 

31 .964 ,859 

30 .984 .833 

,420 47 .027 .999 



.250 



26 ,180 .994 

25 .261 .990 

24 .364 .984 

23 .485 .974 

22 .618 .959 

21 .748 .938 

20 .858 .909 



19 .935 .873 

IS ,978 .831 

31 .027 .999 

29 .074 .998 

28 .116 .997 

27 .176 .994 

26 .254 .991 



.300 



31 .159 .995 
30 .228 .992 
29 .316 .987 
28 .421 .979 
27 .538 .968 
26 .660 .953 
25 .774 .932 



24 .868 .906 

23 .934 .876 

22 .973 .841 

36 .025 .999 

34 .067 .998 

33 .103 .997 

32 .154 .995 



,340 



27 ,889 .900 

26 .944 .871 

25 .976 .840 

39 .037 .999 

38 .060 .998 

37 .092 .997 

36 .137 .996 



35 .197 .993 

34 .274 .989 

33 .365 .983 

32 .470 .975 

31 .582 .963 

30 .694 .948 

29 .795 .928 



45 


.06Q 


.998 


44 


.105 


.997 


43 


.152 


.995 


42 


.21-^ 


.992 


41 


.28P 


.988 


40 


.377 


.982 


39 


.475 


.974 


38 


.579 


.964 


37 


.681 


.951 


36 


.775 


.935 


35 


.853 


.916 


34 


.917 


.894 


33 


.953 


.870 


32 


.978 


.845 



.260 



25 .354 .985 

24 .471 .975 

23 .601 .961 

22 .729 .942 

21 .841 .915 

20 .923 .881 

19 .971 .842 



32 .026 .999 

30 .073 .998 

29 .114 .997 

28 .171 .995 

27 .248 .991 

26 .344 .985 

25 .458 .976 



.310 



31 


.222 


.992 


30 


.307 


.987 


29 


.409 


.980 


28 


.524 


.970 


27 


.643 


.955 


26 


.757 


.936 


25 


.853 


.912 


24 


.924 


,882 


23 


.967 


.849 


22 


.988 


.814 


37 


.024 


.999 



35 .065 .996 
34 .101 .997 
33 .150 .995 



,360 



28 .877 .905 

27 .935 .878 

26 .971 .848 

25 .989 .816 

41 .035 .999 

39 .087 .998 

38 ,129 ,996 



37 .186 .994 

36 .258 .990 

35 .345 .985 

34 .445 .977 

33 .554 .966 

32 .664 .953 

31 .766 .935 



,440 49 .025 .999 

47 .064 .998 

46 .097 .997 

45 .141 .995 

44 .19<3 .993 

43 .27'^ .989 

42 .355 .984 



41 .451 .977 

40 .552 .967 

39 .654 .955 

38 .74Q .940 

37 .851 .923 

36 .895 .903 

35 .941 .881 



.270 



24 .584 .963 

23 .711 .945 

22 .824 .920 

21 .910 .888 

20 .963 .851 

19 .988 .811 

33 .026 .999 



32 .216 .992 

31 .299 .988 

30 .398 .981 

29 .510 .971 

28 .628 .957 

27 ,741 ,939 

26 .839 .916 



,380 



30 .852 .914 

29 .916 .889 

28 .959 .861 

27 .982 .832 

43 .032 .999 

41 .081 .998 

40 .121 .996 



.460 



34 .970 .857 

33 .9e^ .833 

50 .057 .999 

49 .058 .998 

48 .089 .997 

47 .151 .996 

46 .185 .994 



31 .071 .998 

30 .111 .997 

29 .167 .995 

28 .241 .991 

27 .334 .986 

26 .445 .977 

25 .569 .965 



.320 



25 .912 .889 
24 .950 .857 
23 .985 .823 
37 .039 .999 
36 .063 .998 
35 .098 .997 
34 .146 .995 



39 .174 .994 

38 .242 .991 

37 .325 .986 

36 .421 .979 

35 .527 .969 

34" .634 .957 

33 ,737 ,941 



45 .25"^ .990 

44 .355 .985 

43 .427 .979 

42 .526 .970 

41 .627 .959 

40 .727 ,945 

39 .80P .929 



.280 



24 .694 .948 

23 .807 .924 

22 .896 .895 

21 .954 .860 

20 .984 .822 

34 .026 .999 

32 .070 .998 



33 .210 .993 
32 .290 .988 
31 .387 .982 
30 .496 .972 
29 .612 .960 
28 .725 .942 
27 .824 .921 



.400 



32 .826 .922 

31 .896 .899 

30 .945 .874 

29 .974 .846 

28 .990 .818 

45 .030 .999 

43 .075 .998 



.480 



38 .876 .910 

37 .927 .890 

36 .961 .868 

35 .981 .845 

52 .053 .999 

f>0 .081 .998 

49 .120 .996 



31 .109 .997 

30 .163 .995 

29 .235 .991 

28 .325 .986 

27 .433 .978 

26 .553 .967 

25 .676 .950 



26 .901 .894 



42 .113 .997 



.330 



25 


.952 


.864 


41 


.163 


.995 


24 


.980 


.832 


40 


.227 


.991 


38 


.038 


.999 


39 


.306 


.987 


37 


.062 


.998 


38 


.399 


.981 


36 


.095 


.997 


37 


.500 


.972 


35 


.142 


.996 


36 


.606 


.961 



48 .172 .994 

47 .257 .991 

46 .315 .987 

45 .404 .981 

44 .501 .973 

43 .601 .962 

42 .698 .950 



1 10 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 90 



95 



M 



D 



,480 



,500 



.520 



,540 



.560 



41 .785 .935 
40 .857 .917 
39 .912 .898 
38 .951 .877 
37 .975 .855 
36 .988 .833 
54 .029 .999 



52 


.074 


.998 


51 


.1 10 


.997 


50 


.159 


.995 


49 


.220 


.992 


48 


.295 


.988 


47 


.382 


.982 


46 


.477 


.975 


45 


.576 


.966 


44 


.673 


.954 


43 


.762 


.940 


42 


.838 


.924 


41 


.897 


.906 


40 


.940 


.886 


39 


.968 


.865 


38 


.984 


.844 


56 


.026 


.999 


54 


.067 


.998 


53 


.100 


.997 


52 


.146 


.995 


51 


.204 


.993 


50 


.276 


.989 


49 


.360 


.984 


48 


.453 


.977 


47 


.550 


.969 


46 


.648 


.958 


45 


.738 


.945 


44 


.817 


.930 


43 


.881 


.913 


42 


.928 


.894 


41 


.960 


.874 


40 


.979 


.854 


57 


.037 


.999 


56 


.060 


.998 


55 


.091 


.997 


54 


.134 


.996 


53 


.189 


.994 


52 


.257 


.990 


51 


.338 


.986 


50 


.429 


.979 


49 


.526 


.971 


48 


.623 


.961 


47 


.715 


.949 


46 


.797 


.935 


45 


.864 


.919 


44 


.915 


.901 


43 


.951 


.883 


42 


.974 


.863 


41 


.987 


.843 


59 


.033 


.999 


57 


.082 


.998 


56 


.121 


.996 


55 


.174 


.994 


54 


.239 


.991 


53 


.317 


.987 


52 


.405 


.981 


51 


.501 


.974 



,560 



.580 



.600 



.650 



,700 



50 .598 .965 
49 .692 .953 
48 .776 .940 
47 .847 .925 
46 .902 .906 
45 .942 .890 
44 .968 .872 



43 .984 .853 
61 .028 .999 
59 .073 .998 
58 .110 .997 
57 .159 .995 
56 .221 .992 
55 .296 .988 



54 .382 .983 
53 .477 .976 
52 .574 .966 
51 .669 .957 
50 .755 .945 
49 .829 .930 
43 .888 .915 



47 .932 .898 
46 .961 .880 
US .980 .861 
63 .024 .999 
61 .064 .996 
60 .098 .997 
59 .144 .996 



58 .203 .993 
57 .275 .990 
56 .360 .985 
55 .452 .978 
54 .549 .970 
53 .645 .961 
52 .734 .949 



51 .811 .935 
50 .874 .920 
49 .921 .904 
48 .954 .887 
47 .975 .870 
46 .987 .851 
67 .026 .999 



65 .071 .996 
64 .109 .997 
63 .160 .995 
62 .225 .992 
61 .303 .989 
60 .392 .983 
59 .488 .977 



58 .586 .968 

"^7 .680 .958 

56 .765 .947 

55 .837 .934 

54 .893 .919 

53 .934 .904 

52 .962 .888 



51 .980 .871 

50 .990 .854 

71 .027 .999 

,076 .996 

.118 .997 

67 .175 .995 

66 .246 .992 



69 
63 



.700 



.750 



,900 



,850 



.900 



65 


.330 


.988 .900 77 


.908 


.949 


64 


.425 


.982 


76 


.952 


.938 


63 


.525 


.975 


75 


.977 


.926 


62 


.624 


.967 


74 


.990 


.913 


61 


.717 


.956 .950 88 


.059 


.999 


60 


.797 


.945 


87 


.173 


.997 


59 


.863 


.932 


86 


.347 


.993 


58 


.913 


.918 


85 


.544 


.987 


57 


.948 


.903 


84 


.721 


.979 


56 


.971 


.888 


83 


.850 


.969 


55 


.985 


.873 


82 


.929 


.958 


74 


.046 


.999 


81 


.970 


.947 


73 


.078 


.998 


80 


.989 


.936 



71 


.188 


.995 


POPULATION 


95 


70 


.267 


.991 










69 


.359 


.987 


.003 


1 


.282 


.999 


68 


.461 


.981 


.004 


1 


.375 


.998 


67 


.566 


.974 


.005 


1 


.46B 


.996 


66 


.666 


.965 


.006 


2 


.123 


.999 


65 


.756 


.955 




1 


.560 


.993 


64 


.832 


.943 


.007 


2 


.162 


.999 


63 


.890 


.930 




1 


.650 


.988 


62 


.933 


.917 


.008 


2 


.204 


.999 


61 


.961 


.903 




1 


.757 


.980 


60 


.979 


.888 


.009 


2 


.2U9 


.998 


59 


.990 


.874 




1 


.819 


.967 


78 


.043 


.999 


.010 


2 


.298 


.997 



77 .077 .998 

76 .129 .997 

75 .199 .995 

74 .288 .991 

73 .391 .987 

72 .501 .980 

71 .612 .973 



70 .713 .963 

69 .800 .953 

68 .869 .941 

67 .919 .929 

66 .954 .916 

65 .975 .902 

64 .987 .889 



82 .034 .999 

80 .126 .997 

79 .206 .9Q5 

78 .309 .991 

77 .426 .986 

76 .550 .980 

75 .667 .972 



74 .769 .962 

73 .850 .951 

72 .909 .940 

71 .949 .927 

70 .973 .915 

69 .987 .902 

85 .050 .999 



84 .110 .998 

83 .205 .996 

82 .329 .992 

81 .472 .987 

80 .614 .979 

79 .740 .970 

78 .839 .960 



.01 1 
.012 

.013 
.014 
.015 
.016 

.017 
.Old 

.019 
.020 
.021 

.022 
.023 



1 .891 .945 
3 .097 .999 

2 .349 .996 

1 .9U6 .910 

3 .120 .999 

2 .402 .995 
1 .979 .862 



3 .145 .999 

2 .456 .993 

3 .172 .999 

2 .513 .990 

3 .20? .998 

2 .570 .987 

3 .254 .998 



2 .627 .983 
4 .08R .999 

3 .2fa8 .997 

2 .684 .977 

4 .104 .999 

3 .304 .996 
2 .739 .970 



4 .12? .999 

3 .341 .995 

2 .79? .961 

4 .14? .999 

3 .381 .994 
2 .84? .948 

4 .163 .998 



3 .421 .992 

2 .885 .932 

4 .186 .998 

3 .463 .990 
2 .92? .913 

5 .075 .999 

4 .210 .998 



1 1 1 



FINITE QUEUING TABLES 
X M D F X 



,023 



,024 



,025 



.026 



.028 



.030 



.032 



.034 



.036 



.038 



.040 



.042 



.044 



.046 



,048 



.050 



3 


.506 


.988 


2 


.950 


.889 


5 


.088 


.999 


4 


.236 


.997 


3 


.550 


.985 


2 


.971 


.863 


5 


.101 


.999 


4 


.263 


.996 


3 


.594 


.982 


2 


.984 


.835 


5 


.116 


.999 


4 


.292 


.995 


3 


.638 


.978 


5 


.149 


.998 


4 


.354 


.993 


3 


.725 


.966 


6 


.073 


.999 


5 


.186 


.998 


4 


.420 


.991 


3 


.806 


.950 


6 


.095 


.999 


5 


.229 


.997 


4 


.490 


.987 


3 


.875 


.928 


6 


.120 


.999 


5 


.276 


.995 


4 


.563 


.982 


3 


.929 


.899 


7 


.061 


.999 


6 


.149 


.998 


5 


.327 


.994 


4 


.636 


.975 


3 


.965 


.864 


7 


.077 


.999 


6 


.182 


.997 


5 


.382 


.991 


4 


.708 


.965 


3 


.985 


.826 


7 


.097 


.999 


6 


.218 


.996 


5 


.441 


.988 


4 


.777 


.952 


7 


.120 


.998 


6 


.258 


.995 


5 


.502 


.984 


4 


.838 


.936 


a 


.063 


.999 


7 


.145 


.998 


6 


.302 


.994 


5 


.565 


.979 


4 


.891 


.916 


8 


.079 


.999 


7 


.174 


.997 


6 


.350 


.992 


5 


.629 


.973 


4 


.932 


.892 


8 


.097 


.999 


7 


.206 


.996 


6 


.400 


.989 


5 


.692 


.964 


4 


.961 


.865 


9 


.052 


.999 


8 


.1 17 


.998 



.050 



.052 



.054 



.056 



.058 



.060 



.062 



.064 



.066 



.068 



.070 

















POPULATION 


95 - 


■ 95 


M 





F 


X 


M 


D 


F 


X 


M 


D 


F 


7 


.241 


.995 


.075 


10 


.207 


.996 


.1 15 


9 


.983 


.821 


6 


.453 


.986 




9 


.361 


.989 


.120 


18 


.05^ 


.999 


5 


.752 


.954 




8 


.577 


.974 




16 


.111 


.998 


4 


.979 


.836 




7 


.823 


.932 




15 


.188 


.995 


9 


.064 


.999 




6 


.977 


.837 




14 


.300 


.991 


8 


.140 


.998 


.080 


13 


.041 


.999 




13 


.451 


.981 


7 


.279 


.994 




1 1 


.159 


.997 




12 


.655 


.963 


6 


.508 


.982 




10 


.281 


.993 




1 1 


.819 


.928 


5 


.808 


.941 




9 


.462 


.983 




10 


.947 


.868 


9 


.078 


.999 




8 


.693 


.958 


.125 


18 


.04« 


.999 


8 


.165 


.997 




7 


.908 


.898 




17 


.08^ 


.998 


7 


.320 


.992 


.085 


13 


.063 


.999 




16 


.148 


.997 


6 


.564 


.978 




12 


.121 


.998 




15 


.240 


.993 


5 


.857 


.926 




1 1 


.217 


.995 




14 


.37P 


.986 


9 


.095 


.999 




10 


.3b6 


.988 




13 


.556 


.974 


8 


.194 


.996 




9 


.569 


.973 




12 


.722 


.949 


7 


.364 


.990 




8 


.799 


.937 




1 1 


.884 


.905 


6 


.620 


.972 




7 


.960 


.859 




10 


.974 


.838 


5 


.899 


.908 


.090 


14 


.047 


.999 


.130 


T9 


.056 


.999 


10 


.052 


.999 




13 


.092 


.998 




17 


.116 


.997 


9 


.113 


.998 




12 


.168 


.996 




16 


.192 


.995 



8 .225 .996 

7 .410 .988 
6 .676 .964 
5 .932 .888 

10 .064 .999 

9 .133 .998 

8 .258 .994 



7 


.459 


.985 


6 


.730 


.956 


5 


.957 


.866 


10 


.077 


.999 


9 


.156 


.997 


8 


.294 


.993 


7 


.509 


.981 


6 


.781 


.945 


5 


.974 


.843 


1 1 


.043 


.999 


9 


.181 


.997 


8 


.333 


.991 


7 


.559 


.977 


6 


.828 


.933 


5 


.986 


.819 


1 1 


.052 


.999 


10 


. 108 


.998 


9 


.209 


.996 


8 


.374 


.989 


7 


.61 1 


.971 


6 


.869 


.918 



1 1 .062 .999 

10 .127 .998 
9 .239 .995 
8 .417 .987 
7 .661 .965 
6 .904 .902 

11 .074 .999 



.075 



10 .147 .997 

9 .271 .993 

.461 .984 

.711 .957 

.932 .885 

.055 .999 



8 

7 

6 

12 



.095 



.100 



105 



1 10 



115 



11 .288 .992 

10 .460 .982 

9 .677 .960 

8 .883 .908 

7 .986 .816 

14 .070 .999 

13 .129 .997 



12 .225 .994 

1 1 .369 .988 

10 .561 .973 

9 .777 .941 

8 .942 .875 

15 .053 .999 

14 .099 .998 



11 .111 .998 



13 


.176 


.996 


12 


.293 


.991 


1 1 


.458 


.982 


10 


.662 


.961 


9 


.860 


.916 


8 


.975 


.838 


16 


.040 


.999 


14 


.137 


.997 


13 


.232 


.994 


12 


.370 


.987 


1 1 


.553 


.973 


10 


.757 


.944 


9 


.922 


.887 


16 


.058 


.999 


15 


.106 


.998 


14 


.182 


.996 


13 


.297 


.991 


12 


.455 


.981 


1 1 


.648 


.962 


10 


.839 


.922 


9 


.962 


.855 


17 


.044 


.999 


15 


.143 


.997 


14 


.237 


.994 


13 


.371 


.987 


12 


.544 


.973 


1 1 


.739 


.947 


10 


.903 


.897 



135 



,140 



,145 



,150 



15 .301 .990 

14 .447 .98V 

13 .622 .964 

12 .800 .932 

11 .951 .879 

10 .988 .808 

19 .051 .999 



18 .090 .998 

17 .152 .996 

16 .243 .993 

15 .369 .986 

14 .528 .974 

13 .706 .951 

12 .865 .912 



11 .963 .852 

20 .059 .999 

18 .120 .997 

17 .195 .995 

16 .30? .990 

15 .443 .981 

14 .61 1 .965 



13 


.782 


.935 


12 


.915 


.889 


1 1 


.98? 


.825 


20 


.05a 


.999 


19 


.094 


.998 


18 


.156 


.996 


17 


.246 


.993 


16 


.368 


.986 


15 


.520 


.974 


14 


.691 


.953 


13 


.647 


.917 


12 


.951 


.864 


21 


.04? 


.999 


19 


.124 


.997 


18 


.190 


.994 


17 


.30? 


.990 


16 


.458 


.981 


15 


.599 


.965 


14 


.765 


.939 


13 


.899 


.896 


12 


.974 


.839 



112 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 95 - 95 
F X K D F 



155 22 .032 .999 

20 .098 .998 

19 .159 .996 

18 .247 .992 

17 .365 .986 

16 .513 .97a 

15 .677 .955 



.200 25 .085 .998 

24 .134 .996 

?3 .204 .994 

?2 .297 .989 

21 .414 .981 

?0 .550 .969 

19 .693 .950 



.250 25 .507 .973 

2.4 .634 .95P 

23 .757 .938 

22 .860 .911 

21 .934 .878 

20 .975 .84C 

.'60 33 .035 .999 



.300 



30 .470 .976 

29 .585 .964 

28 .700 .948 

27 .604 .927 

26 .88-7 .902 

25 .94iJ .373 

24 .977 .840 



14 .830 .922 

13 .938 .874 

12 .987 .813 

160 22 .044 .999 

21 .077 .998 

20 .127 .997 

19 .200 .994 



15 .823 .923 
17 .920 .885 

16 .974 .839 
.210 23 .031 .999 

26 .086 .998 

25 .136 .996 

54 .204 .994 



31 .090 .993 

30 .137 .996 

29 .200 .993 

28 .283 .989 

27 .383 .983 

26 .500 .973 

25 .624 .959 



,310 38 .C56 .999 

36 .090 .99« 

35 .1 54 .996 

34 .19? .994 

33 .26'' .990 

32 .35° .984 

31 .46"' .976 



165 



18 .302 .989 

17 .434 .981 

16 .589 .966 

15 .749 .942 

14 .883 .903 

13 .964 .851 

23 .034 .999 



'_3 .295 .989 

■>2 .409 .982 

21 .541 .970 

20 .680 .952 

19 .809 .926 

18 .908 .891 

17 .967 .849 



.570 



24 .745 .940 

23 .849 .915 

'2 .925 .883 

21 .970 .848 

^4 .035 .999 

32 .090 .998 



31 



137 .99' 



30 .576 .965 

29 .690 .950 

28 .794 .930 

27 .878 .906 

26 .95-7 .878 

25 .97-« .847 

.320 39 .05^ .999 



21 .100 .998 

20 .161 .996 

19 .248 .992 

18 .363 .986 

17 .505 .975 

16 .663 .956 

15 .813 .926 



,220 



29 .032 .999 
27 .088 .998 
26 .136 .990 
25 .204 .994 
24 .293 .989 
23 .404 .982 
22 .532 .971 



30 .199 .993 

29 .280 .989 

29 .378 .983 

27 .492 .974 

26 .614 .961 

5b .733 .942 

24 .337 .918 



37 .080 .998 

36 .155 .996 

35 .19n .99'i 

34 .264 .990 

33 .353 .985 

32 .45-=, .977 

31 .56'' .966 



170 



14 .925 .883 
13 .981 .827 
23 .046 .999 
22 .079 .998 
21 .129 .997 
20 .202 .994 
19 .301 .989 



,230 



21 .668 .954 
50 .795 .929 
19 .896 .897 
18 .959 .357 
17 .988 .812 
30 .033 .999 
28 .088 .998 



.260 



23 .915 .889 

22 .9o4 .855 

21 .988 .818 

35 .036 .999 

^3 .090 .998 

32 .136 .996 

31 .193 .993 



,330 



30 .660 .951 

29 .783 .932 

28 .868 .909 

27 .950 .883 

26 .968 .353 

25 .968 .822 

40 .056 .999 



180 



18 .429 .981 

17 .578 .967 

16 .734 .944 

15 .868 .909 

14 .954 .861 

24 .048 .999 

23 .081 .998 



27 .137 .99t 

26 .203 ,993 

25 .291 .989 

24 .399 .982 

23 .524 .971 

22 .656 .955 

21 .782 .932 



30 .277 .989 

29 .373 .983 

28 .485 .974 

27 .fc04 .962 

26 .722 .944 

25 .326 .922 

24 ,906 .394 



38 .088 .998 

37 .151 .996 

36 .188 .994 

35 .260 .990 

34 .348 .985 

33 .449 .977 

32 .559 .967 



22 .131 .997 

21 .203 .994 

20 .300 .989 

,424 .981 

.568 .968 

17 .719 .946 

16 .852 .914 



19 
18 



,240 



50 .384 ,902 
19 .951 .865 
13 .984 .822 
31 .034 .999 
29 .089 .996 
23 .137 ,996 
27 .203 .993 



.590 



23 .957 .861 

22 .964 .826 

30 .036 .999 
34 .090 .998 
33 .135 .996 
32 .196 .993 

31 .274 .99" 



.340 



31 .67'^ .953 

30 .77^ .935 

29 .859 .913 

28 .923 .887 

27 .96^ .859 

26 .985 .828 

41 .056 .999 



190 



15 .943 .870 

14 .986 .817 

26 .029 .999 

24 .083 .998 

23 .133 .997 

22 .204 .994 

21 ,299 ,989 



.200 



20 ,419 .981 

19 .559 .969 

18 .706 .948 

17 .338 .919 

16 .932 .878 

15 .980 .829 

27 .030 .999 



,250 



56 .238 .989 
25 .393 .982 
24 .515 .972 
23 .645 .957 
22 .769 .935 
21 .872 .907 
20 .942 ,872 



19 .980 .832 
32 .034 .999 
30 .090 .99£: 
29 .137 ,996 
28 .202 .993 
27 .285 .989 
26 .388 .933 



.300 



30 


.366 


.984 


39 


.088 


.998 


29 


.477 


.975 


38 


.1 50 


.996 


28 


.595 


.963 


37 


.186 


.994 


27 


.71 1 


.946 


36 


,25-7 


.990 


26 


.315 


.925 


35 


.343 


.985 


25 


.397 


.898 


34 


.443 


.978 


24 


.951 


.867 


33 


.551 


.968 


23 


.981 


.833 


32 


.660 


.954 


37 


.03d 


.999 


31 


.763 


.937 


35 


.090 


.99R 


30 


.850 


.916 


34 


.135 


.996 


29 


.915 


.891 


33 


.194 


.994 


28 


.958 


.864 


32 


.270 


.990 


27 


.985 


.835 


31 


.363 


.984 .360 43 


.055 


.999 



1 13 



FINITE QUEUING TABLES 

X M D F X 
.360 



POPULATION 9S - 95 
F X Ni D F 



,380 



,400 



,420 



,440 



41 


.086 


.998 .440 46 


.220 


.992 .520 56 


.092 


.997 .580 48 


.975 


.870 


40 


.127 


.996 


45 


.294 


.988 


55 


.134 


.996 


47 


.987 


.853 


39 


.181 


.994 


44 


.379 


.983 


54 


.187 


.994 .600 66 


.027 


.999 


38 


.250 


.991 


43 


.474 


.975 


53 


.253 


.991 


64 


.070 


.998 


37 


.333 


.986 


42 


.574 


.966 


52 


.331 


.986 


63 


.105 


.997 


36 


.429 


.979 


41 


.672 


.954 


51 


.419 


.980 


62 


.151 


.995 


35 


.534 


.969 


40 


.762 


.939 


■=^0 


.513 


.973 


61 


.21 1 


.993 


34 


.642 


.957 


39 


.840 


.922 


49 


.609 


.963 


60 


.28? 


.989 


33 


.743 


.941 


38 


.900 


.903 


48 


.700 


.952 


59 


.365 


.985 


32 


.831 


.922 


37 


.943 


.882 


47 


.783 


.939 


58 


.455 


.979 


31 


.900 


.899 


36 


.971 


.860 


46 


.852 


.923 


57 


.550 


.971 


30 


.948 


.874 


35 


.987 


.837 


45 


.906 


.906 


56 


.643 


.962 


29 


.976 


.847 .460 53 


.030 


.999 


44 


.944 


.868 


55 


.750 


.951 


45 


.035 


.999 


51 


.072 


.996 


4 3 


.970 


.869 


54 


.806 


.938 


43 


.084 


.998 


50 


.107 


.997 


42 


.935 


.850 


53 


.868 


.924 


42 


.124 


.996 


49 


.153 


.995 .540 60 


.036 


.999 


52 


.916 


.909 


41 


.176 


.994 


48 


.212 


.992 


58 


.037 


.998 


51 


.950 


.893 


40 


.243 


.991 


47 


.284 


.989 


57 


.127 


.996 


50 


.972 


.876 


39 


.323 


.986 


46 


.367 


.984 


56 


.178 


.994 


49 


.985 


.859 


38 


.417 


.980 


45 


.460 


.977 


55 


.243 


.991 .650 70 


.054 


.999 


37 


.519 


.971 


44 


.558 


.966 


54 


.319 


.987 


68 


.08'^ 


.998 


36 


.624 


.959 


43 


.655 


.957 


53 


.405 


,982 


67 


.127 


.996 


35 


.724 


.945 


42 


.746 


.943 


52 


.498 


.974 


66 


.182 


.994 


34 


.814 


.927 


41 


.825 


.927 


51 


.594 


.966 


65 


.250 


.991 


33 


.885 


.906 


40 


.888 


.909 


50 


.666 


.955 


64 


.350 


.987 


32 


.936 


.882 


39 


.934 


.889 


• 49 


.769 


.942 


63 


.410 


.982 


31 


.969 


.857 » 


38 


.965 


.868 


48 


.840 


.927 


62 


.514 


.975 


30 


.987 


.830 


37 


.983 


.846 


47 


.896 


.91 1 


61 


.60Q 


.967 


47 


.034 


.999 .430 55 


.028 


.999 


46 


.937 


.894 


60 


.699 


.957 


45 


.081 


.998 


53 


.069 


.998 


45 


.965 


.876 


59 


.77Q 


.946 


44 


.120 


.996 


52 


.102 


.997 


44 


.982 


.857 


58 


.846 


.933 


43 


.171 


.994 


51 


.147 


.995 .560 62 


.033 


.999 


57 


.899 


.920 


42 


.235 


.991 


50 


.204 


.993 


60 


.081 


.998 


56 


.957 


.905 


41 


.313 


.987 


49 


.274 


.989 


59 


.120 


.997 


55 


.964 


.890 


40 


.404 


.981 


48 


.355 


.984 


58 


.170 


.995 


54 


.98n 


.874 


39 


.503 


.973 


47 


.446 


.978 


57 


.232 


.992 


53 


.990 


.85P 


38 


.606 


.962 


46 


.543 


.970 


56 


.307 


.988 .700 74 


.040 


.999 


37 


.706 


.948 


45 


.639 


.959 


55 


.392 


.983 


73 


.065 


.998 


36 


.796 


.931 


44 


.731 


.946 


54 


.484 


.976 


72 


.10? 


.997 


35 


.870 


.912 


43 


.81 1 


.931 


53 


.579 


.967 


71 


.15? 


.996 


34 


.925 


.890 


42 


.876 


.914 


52 


.671 


.957 


70 


.216 


.993 


33 


.961 


.866 


41 


.925 


.895 


51 


.756 


.945 


69 


.29^ 


.990 


32 


.982 


.841 


40 


.958 


.875 


50 


.828 


.931 


68 


.381 


.985 


49 


.032 


.999 


39 


.979 


.854 


49 


.887 


.916 


67 


.477 


.979 


47 


.078 


.998 .500 57 


.026 


.999 


48 


.930 


.899 


66 


.575 


.972 


46 


.1 16 


.997 


55 


.065 


.996 


47 


.960 


.882 


65 


.669 


.963 


45 


.165 


.995 


54 


.097 


.997 


46 


.978 


.864 


64 


.754 


.953 


44 


.228 


.992 


53 


.140 


.996 


45 


.969 


.846 


63 


.826 


.941 


43 


.304 


.988 


52 


.196 


.993 .580 64 


.030 


.999 


62 


.884 


.929 


42 


.392 


.982 


51 


.263 


.990 


62 


.076 


.998 


61 


.927 


.915 


41 


.489 


.974 


50 


.343 


.985 


61 


.1 12 


.997 


60 


.956 


.901 


40 


.590 


.964 


49 


.432 


.979 


60 


.161 


.995 


59 


.976 


.887 


39 


.689 


.951 


48 


.528 


.971 


59 


.222 


.992 


58 


.987 


.872 


38 


.779 


.936 


47 


.624 


.961 


58 


.295 


.989 .750 78 


.045 


.999 


37 


.855 


.917 


46 


.715 


.949 


57 


.378 


.984 


77 


.07 5 


.998 


36 


.913 


.897 


45 


.797 


.935 


56 


.470 


.977 


76 


.119 


.997 


35 


.952 


.875 


44 


.864 


.919 


55 


.564 


.969 


75 


.17« 


.995 


34 


.977 


.851 


43 


.915 


.901 


54 


.657 


.960 


74 


.25? 


.992 


33 


.990 


.827 


42 


.951 


.882 


53 


.743 


.948 


73 


.340 


.988 


51 


.031 


.999 


41 


.974 


.862 


52 


.817 


.935 


72 


.458 


.983 


49 


.075 


.998 


40 


.988 


.842 


51 


.877 


.920 


71 


.540 


.977 


48 


.1 12 


.997 .520 59 


.024 


.999 


50 


.923 


.904 


70 


.659 


.968 


47 


.159 


.995 


57 


.061 


.996 


49 


.955 


.888 


69 


.750 


.959 



1 14 



FINITE QUEUING TABLES 

X • M D F X 

.750 



.800 



68 


.809 


.948 


.007 


2 


.177 


.999 


.032 


6 


.1 16 


.999 


.056 


67 


.871 


.937 




1 


.684 


.986 




5 


.269 


.996 


.058 


66 


.918 


.924 


.008 


2 


.223 


.999 




4 


.553 


.983 




65 


.951 


.91 1 




1 


.774 


.976 




3 


.925 


.905 




64 


.973 


.898 


.009 


2 


.272 


.998 


.034 


7 


.059 


.999 




63 


.986 


.884 




1 


.856 


.959 




6 


.146 


.998 




82 


.048 


.999 


.010 


2 


.325 


.997 




5 


.323 


.994 





POPULATION 95 - 100 
F X M D F 



5 .940 .878 
10 .C71 .999 

9 .146 .998 

8 .279 .994 

7 .t87 .984 

6 .761 .951 
5 .97^ .854 



81 .084 .998 

80 .136 .997 

79 .206 .995 

78 .294 .991 

77 .394 .987 

76 .502 .981 

75 .609 .974 



.01 1 



.012 



.01 3 



1 .924 .930 
3.110 .999 

2 .380 .996 

1 .970 .885 

3 .136 .999 

2 .437 .994 

3 .164 .999 



.036 



4 .631 .976 

3 .965 .869 
7 .077 .999 
6 .181 .998 

5 .381 .992 

4 .707 .967 
3 .986 .829 



.060 10 .08-=- .999 

9 .17? .997 

8 .310 .992 

7 .541 .979 

6 .81"^ .939 

5 .98-^ .829 

.062 11 .040 .999 



.850 



.900 



.950 



74 


.709 


.965 




2 


.496 


.992 


.038 


7 


.098 


.999 


9 


.200 


.996 


73 


.794 


.955 


.014 


3 


.195 


.998 




6 


.219 


.997 


8 


.361 


.990 


72 


.863 


.944 




2 


.556 


.989 




5 


.443 


.989 


7 


.595 


.974 


71 


.914 


.932 


.015 


3 


.228 


.998 




4 


.780 


.954 


6 


.859 


.925 


70 


.949 


.920 




2 


.616 


.985 


.040 


7 


.122 


.999 


.064 11 


.C5P 


.999 


69 


.972 


.907 


.016 


4 


.086 


.999 




6 


.262 


.995 


10 


.12? 


.998 


68 


.985 


.895 




3 


.263 


.997 




5 


.508 


.965 


9 


.251 


.99^- 


86 


.046 


.999 




2 


.676 


.979 




u 


.845 


.936 


8 


.405 


.988 


85 


.088 


.998 


.017 


4 


.103 


.999 


.042 


8 


.065 


.999 


7 


.649 


.968 


84 


.151 


.997 




3 


.301 


.996 




7 


.149 


.998 


6 


.890 


.909 


83 


.237 


.994 




2 


.735 


.972 




6 


.308 


.994 


.066 11 


.07? 


.999 


82 


.342 


.990 


.018 


4 


.121 


.999 




5 


.574 


.979 


10 


.14^ 


.998 


81 


.459 


.985 




3 


.340 


.995 




n 


.899 


.915 


9 


.264 


.994 


80 


.578 


.979 




2 


.792 


.962 


.044 


8 


.082 


.999 


8 


.457 


.985 


79 


.690 


.971 


.019 


4 


.142 


.999 




7 


.180 


.997 


7 


.70? 


.960 


78 


.786 


.961 




3 


.382 


.994 




6 


.359 


.992 


6 


.929 


.891 


77 


.861 


.951 




2 


.844 


.949 




5 


.642 


.972 


.06b 11 


.C8'> 


.999 


76 


.916 


.940 


.020 


4 


.165 


.998 




4 


.940 


.839 


10 


.166 


.997 


75 


.952 


.928 




3 


.424 


.992 


.046 


8 


.101 


.999 


9 


.300 


.993 


74 


.975 


.916 




2 


.890 


.933 




7 


.214 


.996 


8 


.500 


.982 


73 


.988 


.904 


.021 


4 


.189 


.998 




6 


.413 


.989 


7 


.75? 


.951 


90 


.036 


.999 




3 


.469 


.990 




5 


.708 


.964 


6 


.95^ 


.871 


88 


.161 


.997 




2 


.928 


.912 




4 


.968 


.860 


.070 12 


.050 


.999 


87 


.270 


.994 


.022 


5 


.078 


.999 


.048 


9 


.055 


.999 


1 1 


.101 


.998 


86 


.403 


.990 




4 


.215 


.996 




8 


.124 


.998 


10 


.19? 


.996 


85 


.543 


.984 




3 


.514 


.988 




7 


.252 


.995 


9 


.350 


.991 


84 


.676 


.976 




2 


.957 


.887 




6 


.469 


.986 


8 


.550 


.977 


83 


.787 


.967 


.023 


5 


.091 


.999 




5 


.771 


.952 


7 


.800 


.941 


82 


.871 


.957 




4 


.242 


.997 




4 


.985 


.829 


6 


.971 


.851 


81 


.928 


.946 




3 


.561 


.985 


.050 


9 


.069 


.999 


.075 12 


.07 


.999 


80 


.963 


.935 




2 


.976 


.856 




8 


.149 


.998 


1 1 


. 149 


.997 


79 


.982 


.924 


.024 


5 


.105 


.999 




7 


.293 


.994 


10 


.266 


.994 


93 


.048 


.999 




4 


.272 


.996 




6 


.528 


.982 


9 


.44? 


.985 


92 


.146 


.998 




3 


.607 


.981 




5 


.828 


.938 


8 


.67-^ 


.963 


91 


.305 


.995 




2 


.988 


.828 


.052 


9 


.085 


.999 


7 


.697 


.907 


90 


.496 


.989 


.025 


5 


.121 


.999 




8 


.177 


.997 


.080 13 


.060 


.999 


89 


.676 


.982 




4 


.303 


.995 




7 


.338 


.992 


12 


.116 


.998 


88 


.817 


.973 




3 


.654 


.977 




6 


.587 


.976 


1 1 


.209 


.995 


87 


.908 


.963 


.026 


5 


.138 


.999 




5 


.878 


.921 


10 


.354 


.990 


86 


.959 


.953 




4 


.335 


.994 


.054 


10 


.047 


.999 


9 


.555 


.976 


85 


.984 


.942 




3 


.700 


.971 




8 


.208 


.996 


8 


.788 


.942 








.028 


6 


.068 


.999 




7 


.385 


.990 


7 


.957 


.866 



POPULATION 


100 




5 


.177 


.998 




6 


.647 


.970 










4 


.403 


.992 




5 


.918 


.901 


.003 


1 .297 


.999 




3 


.788 


.956 


.056 


10 


.058 


.999 


.004 


1 .395 


.997 


.030 


6 


.090 


.999 




9 


.123 


.998 


.005 


1 .493 


.995 




5 


.220 


.997 




8 


.242 


.995 


.006 


2 .135 


.999 




4 


.477 


.988 




7 


.435 


.987 




1 .589 


.992 




3 


.865 


.935 




6 


.706 


.962 



.085 



14 .046 .999 

12 .164 .997 

11 .28? .993 

10 .453 .983 

9 .670 .962 

8 .880 .913 

7 .986 .821 



1 15 



FINITE QUEUING TABLES 
X M D F X 



POPULATION ICO - 100 
F X M F 



.090 



.095 



100 



14 


.069 


.999 .1 


125 11 


.947 


.871 


13 


.129 


.998 .1 


130 19 


.059 


.999 


12 


.224 


.995 


18 


.102 


.998 


1 1 


.367 


.988 


17 


.170 


.996 


10 


.559 


.974 


16 


.267 


.992 


9 


.777 


.943 


15 


.399 


.985 


8 


.943 


.877 


14 


.563 


.971 


15 


.054 


.999 


13 


.740 


.946 


14 


.101 


.998 


12 


.890 


.904 


13 


.178 


.996 


1 1 


.974 


.842 


12 


.296 


.992 .135 20 


.046 


.999 


1 1 


.461 


.982 


19 


.081 


.998 


10 


.666 


.961 


18 


.137 


.997 


9 


.865 


.917 


17 


.218 


.994 


8 


.977 


.838 


16 


.332 


.989 


16 


.041 


.999 


15 


.479 


.979 


14 


.140 


.997 


14 


.650 


.961 


13 


.237 


.994 


13 


.816 


.929 


12 


.377 


.987 


12 


.936 


.879 


1 1 


.562 


.973 


1 1 


.988 


.813 



160 17 .560 .970 



165 



170 



16 


.718 


.949 


15 


.857 


.915 


14 


.949 


.868 


13 


.989 


.81 1 


24 


.034 


.999 


22 


.098 


.998 



10 .767 .944 



.140 21 .036 .999 



21 .157 .996 

?0 .239 .993 

19 .348 .987 

18 .484 .977 

17 .637 .961 

16 .787 .935 

15 .905 .896 



14 .972 .845 

24 .047 .999 

23 .079 .99a 

22 .127 .997 

21 .197 .994 

20 .293 .990 

19 .415 .983 



.210 24 .309 .989 

23 .421 .981 

22 .551 .970 

21 .687 .952 

20 .51? .927 

19 .908 .894 

18 .966 .854 



.220 30 .05fl .999 

28 .098 .998 

27 .150 .996 

26 .220 .993 

25 .31 1 .988 

24 .42? .981 

23 .549 .970 



22 .681 .953 

21 .SOU .929 

20 .900 .898 

19 .960 .860 

18 .988 .817 

.230 31 .059 .999 

29 .101 .997 



.105 



1 10 



1 15 



120 



125 



9 


.929 


.886 


16 


.061 


.999 


15 


.1 1 1 


.998 


14 


.190 


.996 


13 


.307 


.991 


12 


.468 


.981 


1 1 


.662 


.961 


10 


.851 


.921 


9 


.968 


.852 


17 


.047 


.999 


16 


.087 


.998 


15 


.151 


.997 


14 


.249 


.993 


13 


.386 


.986 


12 


.563 


.972 


1 1 


.757 


.945 


10 


.915 


.893 


9 


.987 


.816 


18 


.037 


.999 


16 


.120 


.998 


15 


.200 


.995 


14 


.317 


.990 


13 


.473 


.980 


12 


.658 


.961 


1 1 


.839 


.924 


10 


.957 


.862 


18 


.053 


.999 


17 


.095 


.998 


16 


.161 


.996 


15 


.258 


.993 


14 


.393 


.986 


13 


.563 


.972 


12 


.748 


.946 


1 1 


.902 


.899 


10 


.981 


.831 


19 


.042 


.999 


17 


.129 


.997 


16 


.210 


.995 


15 


.325 


.989 


14 


.476 


.979 


13 


.654 


.961 


12 


.827 


.927 



.145 



1 150 



19 .109 .998 

18 .178 .996 

17 .275 .991 

16 .404 .984 

15 .563 .971 

14 .732 .947 

13 .879 .908 



12 .966 .852 

21 .051 .999 

?0 .087 .998 

19 .144 .997 

18 .226 .994 

17 .339 .968 

16 .482 .978 



15 .646 .961 

14 .806 .931 

13 .926 .885 

12 .983 .826 

22 .040 .999 

20 .116 .997 

19 .185 .995 



18 .282 .991 

17 .409 .984 

16 .562 .970 

15 .725 .948 

14 .868 .912 

13 .958 .861 



155 23 .031 .999 



21 .093 .998 
20 .150 .996 
19 .233 .993 
18 .344 .988 
17 .483 .978 
16 .641 .961 
15 .796 .933 



14 .915 .891 

13 .978 .836 

.160 23 .043 .999 

21 .122 .997 

20 .191 .995 

19 .288 .990 

18 .412 .983 



180 



190 



18 


.559 


.970 


28 


.153 


.996 


17 


.71 1 


.950 


27 


.223 


.993 


16 


.847 


.918 


26 


.31^ 


.988 


15 


.941 


.875 


25 


.42? 


.981 


14 


.985 


.822 


24 


.547 


.970 


25 


.050 


.999 


23 


.676 


.954 


24 


.083 


.998 


22 


.797 


.931 


23 


.133 


.997 


21 


.89? 


.901 


22 


.203 


.994 


20 


.954 


.865 


21 


.297 


.990 


19 


.985 


.825 


20 


.417 


.982 .240 32 


.04 1 


.999 


19 


.557 


.97C 


31 


.067 


.998 


18 


.705 


.950 


30 


.104 


.997 


17 


.838 


.921 


29 


.156 


.996 


16 


.933 


.880 


28 


.226 


.993 


15 


.981 


.831 


27 


.315 


.988 


27 


.031 


.999 


26 


.423 


.981 


25 


.087 


.998 


25 


.544 


.970 


24 


.137 


.996 


24 


.671 


.954 


23 


.208 


.994 


23 


.789 


.932 


22 


.301 


.989 


22 


.88-^ 


.904 



21 .419 .982 

20 .555 .970 

19 .698 .951 .250 

18 .829 .923 

17 .924 .886 

16 .976 .840 

.200 28 .033 .999 



26 .091 .998 

25 .142 .996 

24 .212 .993 

23 .305 .989 

22 .420 .981 

21 .553 .970 

20 .693 .952 



19 .820 .925 

18 .916 .890 .260 

17 .971 .847 

.210 29 .0^5 .999 

27 .095 .998 

26 .146 .996 

25 .216 .993 



21 .94Q .870 

20 .98' .832 

33 .043 .999 

32 .069 .998 

31 .107 .997 

30 .159 .995 

29 .229 .992 



28 .317 ,983 

27 .423 .980 

26 .54? .970 

25 .666 .955 

24 .78' .934 

23 .87« .907 

22 .943 .875 



21 .97Q .838 

35 .027 .999 

33 .071 .998 

32 .109 .997 

31 .16? .995 

30 .251 .992 

29 .318 .987 



1 16 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 100 - 100 



,260 23 .423 .980 

27 .540 .970 

26 .661 .955 

25 .776 .935 

24 .871 .910 

23 .937 .879 

22 .975 .844 



.310 38 .080 .99£ 

37 .119 .997 

36 .171 .995 

35 .239 .992 

34 .322 .987 

33 .420 .980 

32 .528 .971 



.^60 



M 



D 



37 .516 .972 

36 .620 .961 

35 .721 .946 

34 .811 .929 

33 .883 .908 

32 .935 .885 

31 .968 .859 



.440 



M D F 

43 .689 .953 

42 .775 .939 

41 .848 .922 

40 .905 .904 

39 .946 .884 

38 .97? .862 

37 .98-' .840 



,270 



36 .028 .999 

34 .073 .998 

33 .111 .997 

32 .164 .995 

31 .233 .992 

30 .319 .987 

29 .422 .980 



31 .640 .958 

30 .746 .941 

29 .838 .921 

28 .909 .896 

27 .956 .866 

26 .982 .838 

,320 41 .033 .999 



,380 



30 .98o .833 

47 .037 .999 

45 .086 .998 

44 .126 .996 

43 .178 .994 

42 .243 .991 

41 .321 .987 



.460 56 .024 .999 

53 .088 .998 

52 .126 .996 

51 .17-7 .994 

50 .239 .991 

U9 .314 .987 

48 .399 .982 



28 .537 .970 

27 .657 .956 

26 .769 .937 

25 .864 .912 

24 .931 .883 

23 .971 .850 

,280 37 .029 .999 



35 .075 .998 

34 .1 14 .997 

33 .166 .995 

32 .235 .992 

31 .320 .987 

30 .422 .980 

29 .535 .970 



.330 



39 .031 .998 

38 .120 .997 

37 .173 .995 

36 .240 .991 

35 .323 .987 

34 .419 ,980 

33 .525 .971 



32 .636 .959 
31 .741 .942 
30 .833 .922 
29 .904 .898 
28 .952 .872 
27 .979 .842 
42 .034 .999 



.400 



40 


.412 


.981 


47 


.49? 


.975 


39 


.511 


.972 


46 


.58R 


.966 


38 


.613 


.962 


45 


.68? 


.954 


37 


.712 


.948 


44 


.767 


.941 


36 


.801 


.931 


43 


.841 


.925 


35 


.874 


.912 


42 


.899 


.907 


34 


.927 


.890 


41 


.940 


.888 


33 


.963 


.866 


40 


.96° 


.868 


32 


.933 


.841 


39 


.984 


.847 


49 


.038 


.999 .480 57 


.058 


.999 


47 


.087 


.998 


55 


.087 


.998 


46 


.127 


.996 


54 


.125 


.996 


45 


.178 


.994 


53 


.175 


.994 


44 


.243 


.991 


52 


.237 


.991 



,290 



28 .652 .956 

27 .763 .938 

26 .357 .914 

25 .926 .886 

24 .968 .855 

23 .989 .821 

38 .030 .999 



40 .032 .998 

39 .122 .997 

38 .174 .994 

37 .241 .991 

36 .323 .987 

35 .418 .980 

34 .523 .971 



43 .320 .987 

42 .409 .981 

41 .506 .973 

40 .607 .963 

39 .704 .950 

38 .792 .934 

37 .865 .916 



51 .311 .988 

50 .395 .982 

49 .487 .975 

48 .58? .966 

47 .675 .956 

46 .760 .943 

45 .854 .928 



36 .077 .998 

35 .116 .997 

34 .168 .995 

33 .236 .992 

32 .321 .987 

31 .421 .980 

30 .533 .970 



33 .632 .959 

32 .736 .943 

31 .827 .924 

30 .896 .901 

29 .948 .875 

28 .977 .847 

,340 43 .035 .999 



.420 



36 .920 .895 

35 .957 .873 

34 .979 .849 

51 .038 .999 

49 .086. .998 

48 .127 .996 

47 .178 .994 



.500 



44 .89? .911 

43 .935 .893 

42 .964 .873 

41 .93? .853 

59 .0 3-7 .999 

57 .085 .998 

56 .12U .996 



,300 



29 .648 .957 

28 .757 .939 

27 .851 .917 

26 .920 .890 

25 .964 .859 

24 .986 .827 

39 .031 .999 



41 .083 .996 

40 .123 .996 

39 .175 .994 

38 .242 .991 

37 .323 ,987 

36 .417 .980 

35 .521 .971 



46 .242 .991 

45 .318 .987 

44 .406 .981 

43 .501 .974 

42 .600 .964 

41 .696 .951 

40 .783 .935 



55 .174 .994 

54 .255 .992 

53 .308 .988 

52 .39? .983 

51 .48? .976 

50 .576 .967 

49 .66n .957 



37 


.078 


.998 


36 


.117 


.997 


35 


.170 


.995 


34 


.238 


.992 


33 


.322 


.987 


32 


.421 


.980 


31 


.530 


.971 


30 


.644 


.958 


29 


.752 


.940 


28 


.845 


.919 


27 


.914 


.893 


26 


.960 


.864 


25 


.984 


.832 



,360 



,310 40 .032 .999 



34 .628 .960 
33 .731 ,944 
32 .822 ,926 
31 .893 .903 
30 .943 .878 
29 .974 .851 
28 .990 .823 



45 .036 .999 
43 .085 .998 
42 .125 .996 
41 .177 .994 
40 .242 .991 
39 .322 ,987 
38 .414 .980 



,440 



39 


.856 


.919 


38 


.912 


.899 


37 


.951 


.878 


36 


.976 


.856 


35 


.939 


.833 


54 


.024 


.999 


51 


.083 


.998 


50 


.127 


.996 


49 


.178 


.994 


48 


.241 


.991 


47 


.316 


.987 


46 


.403 


.982 


45 


.497 


.974 


44 


,594 


.965 



,520 



48 .754 .944 

47 .827 .930 

46 .886 .914 

45 .9 50 .897 

44 .961 .878 

43 .979 .859 

t)1 .056 .999 



59 .084 .998 

58 .12? .996 

57 .171 .995 

56 .23? .992 

55 .305 .988 

54 .388 .983 

53 ,478 ,977 



1 17 



FINITE QUEUING TABLES 

X M D F X 
.520 



POPULATION 100 - lOS 
F X M D F 



,5U0 



,560 



.580 



.600 



52 


.571 


.968 .600 65 


.159 


.995 


.750 


67 


.981 


.893 


.007 


2 


.193 


.999 


51 


.662 


.958 


64 


.218 


.993 




66 


.990 


.880 




1 


.717 


.984 


50 


.747 


.946 


63 


.288 


.989 


.800 


87 


.029 


.999 


.008 


2 


.24^ 


.998 


49 


.821 


.932 


62 


.369 


.985 




'^5 


.090 


.998 




1 


.809 


.971 


48 


.881 


.917 


61 


.458 


.979 




84 


.143 


.997 


.009 


2 


.296 


.998 


47 


.926 


.900 


60 


.550 


.972 




83 


.213 


.994 




1 


.891 


.949 


46 


.957 


.883 


59 


.641 


.963 




82 


.299 


.991 


.010 


2 


.352 


.996 


45 


.977 


.865 


58 


.726 


.953 




81 


.398 


.987 




1 


.95? 


.91 1 


44 


.989 


.846 


57 


.801 


.941 




80 


.503 


.961 


.01 1 


3 


.124 


.999 


63 


.035 


.999 


56 


.863 


.928 




79 


.607 


.974 




o 


.41 1 


.995 


61 


.083 


.998 


55 


.91 1 


.913 




73 


.705 


.966 




1 


.985 


.855 


60 


.120 


.997 


54 


.945 


.896 




77 


.789 


.957 


.01^ 


3 


.153 


.999 


59 


.169 


.995 


53 


.969 


.382 




76 


.857 


.947 




2 


.473 


.993 


58 


.229 


.992 


52 


.983 


.866 




75 


.9u9 


.936 


.013 


3 


. 184 


.999 


57 


.301 


.988 .650 74 


.026 


.999 




74 


.945 


.924 




2 


.555 


.990 


56 


.383 


.984 


72 


.067 


.998 




7 3 


.969 


.912 


.014 


3 


.21'' 


.998 


55 


.473 


.977 


71 


.101 


.997 




72 


.983 


.900 




2 


.599 


.986 


54 


.565 


.969 


70 


.147 


.996 


.850 


90 


.060 


.999 


.015 


3 


.254 


.997 


53 


.657 


.959 


69 


.205 


.994 




89 


.108 


.998 




2 


.66"^ 


.9P1 


52 


.741 


.948 


68 


.275 


.990 




88 


.178 


.996 


.016 


4 


.099 


.999 


51 


.815 


.935 


67 


.356 


.986 




P7 


.267 


.993 




3 


.294 


.997 


50 


.676 


.920 


66 


.445 


.981 




86 


.374 


.989 




2 


.725 


.975 


49 


.921 


.904 


65 


.538 


.974 




85 


.490 


.984 


.017 


4 


.119 


.999 


48 


.954 


.887 


64 


.630 


.966 




84 


.605 


.977 




3 


.355 


.996 


47 


.975 


.869 


63 


.716 


.956 




93 


.71 1 


.970 




2 


.786 


.965 


46 


.987 


.851 


62 


.792 


.945 




82 


.801 


.960 


.018 


4 


.140 


.999 


65 


.034 


.999 


61 


.855 


.933 




81 


.871 


.950 




3 


.370 


.994 


63 


.061 


.998 


60 


.905 


.920 




80 


.9^2 


.940 




2 


.84 1 


.952 


62 


.1 18 


.997 


59 


.941 


.906 




79 


.955 


.929 


.019 


4 


. 164 


.999 


61 


.166 


.995 


58 


.965 


.891 




78 


.976 


.917 




3 


.423 


.993 


60 


.226 


.992 


57 


.981 


.876 




77 


.988 


.906 




2 


.690 


.935 


59 


.297 


.989 .700 78 


.034 


.999 


.900 


94 


.062 


.999 


.020 


4 


.18Q 


.998 


58 


.379 


.984 


76 


.088 


.998 




93 


.125 


.998 




3 


.470 


.991 


57 


.468 


.978 


75 


.132 


.997 




92 


.218 


.996 




2 


.950 


.913 


56 


.560 


.970 


74 


.189 


.995 




91 


.339 


.992 


.021 


5 


.079 


.999 


55 


.651 


.961 


73 


.259 


.992 




90 


.474 


.987 




4 


.217 


.998 


54 


.736 


.950 


7? 


.341 


.988 




89 


.609 


.981 




3 


.51 8 


.988 


53 


.810 


.937 


71 


.431 


.983 




88 


.730 


.973 




2 


.960 


.886 


52 


.871 


.923 


70 


.526 


.976 




87 


.827 


.964 


.022 


5 


.09^ 


.999 


51 


.917 


.907 


69 


.620 


.969 




86 


.897 


.954 




4 


.246 


.997 


50 


.951 


.891 


68 


.709 


.960 




85 


.944 


.944 




3 


.567 


.985 


49 


.972 


.874 


67 


.787 


.949 




84 


.971 


.933 




2 


.979 


.856 


48 


.986 


.857 


66 


.=!51 


.938 




83 


.986 


.922 


.023 


5 


.100 


.999 


67 


.032 


.999 


65 


.902 


.926 


.950 


97 


.123 


.998 




4 


.277 


.996 


65 


.078 


.998 


64 


.939 


.913 




96 


.267 


.996 




3 


.616 


.981 


64 


.1 15 


.997 


63 


.964 


.899 




95 


.449 


.991 


.024 


5 


.125 


.999 


63 


.162 


.995 


62 


.980 


.885 




94 


.631 


.985 




4 


.310 


.995 


62 


.222 


.993 


61 


.990 


.871 




93 


.781 


.977 




3 


.665- 


.977 


61 


.293 


.989 .750 82 


.043 


.999 




92 


.884 


.967 


.025 


5 


.14^ 


.999 


60 


.374 


.984 


81 


.072 


.998 




91 


.945 


.957 




4 


.344 


.994 


59 


.463 


.978 


80 


.113 


.997 




90 


.977 


.947 




3 


.714 


.971 


58 


.555 


.971 


79 


.169 


.996 










.026 


5 


.163 


.998 


57 


.646 


.962 


78 


.239 


.993 












4 


.380 


.993 


56 


.731 


.951 


77 


.322 


.989 












3 


.761 


.963 


55 


.805 


.939 


76 


.416 


.985 










.028 


6 


.084 


.999 


54 


.867 


.925 


75 


.515 


.979 












5 


.207 


.997 


53 


.914 


.910 


74 


.613 


.972 


POPULATION 


105 




4 


.455 


.990 


52 


.948 


.895 


73 


.705 


.963 












3 


.846 


.943 


51 


.970 


.878 


72 


.785 


.953 


.002 


1 


.208 


.999 


.030 


6 


.110 


.999 


50 


.984 


.862 


71 


.852 


.942 


.004 


1 


.415 


.997 




5 


.257 


.996 


69 


.031 


.999 


70 


.903 


.931 


.005 


1 


.517 


.995 




4 


.555 


.985 


67 


.075 


.998 


69 


.940 


.919 


.006 


2 


.147 


.999 




3 


.915 


.915 


66 


.1 1 1 


.997 


68 


.965 


.906 




1 


.618 


.991 


.032 


6 


.140 


.998 



118 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION 105 



M 



D 



105 



,032 



,034 



5 .313 .995 
a .617 .979 
3 .961 .878 
7 .075 .999 

6 .176 .998 
5 .373 .992 
U .698 .969 



.056 
.058 



5 .978 .845 
10 .094 .999 

9 .185 .997 

8 .339 .992 

7 .568 .978 

6 .338 .934 
5 .989 .818 



,085 



.090 



10 
9 



.546 .977 

.766 .947 

8 .939 .883 

15 .052 .999 

14 ,098 .998 

13 .174 .996 

12 .290 .992 



.125 16 .28^ .992 

15 .42-^ .984 

14 .589 .969 

13 .765 .943 

12 .90=^ .899 

11 .93n .835 

.130 20 .05' .999 



,036 



.038 



.985 .835 

.096 .999 

.216 .997 

.438 .989 

.776 .956 

.121 .999 

.261 .996 



.060 11 .055 .999 

10 .113 .998 

9 .216 .996 

8 .385 .990 

7 .625 .972 

6 .883 .918 

.062 11 .067 ..999 



,095 



11 .454 .983 
10 .660 .964 
9 .862 .921 
.977 .842 
.041 .999 
.140 .997 
.236 .994 



8 
16 
14 
13 



19 .091 .998 

18 .150 .997 

17 .257 .994 

16 .357 .988 

15 .503 .977 

14 .68'^ .958 

13 .841 .924 



,040 



5 .506 .985 

4 .845 .939 
8 .066 .999 
7 .150 .998 

6 .310 .994 

5 .577 .980 
4 .902 .916 



.064 



10 .134 .998 
9 .250 .995 
8 .433 .987 
7 .682 .965 
6 .920 .900 

11 .081 .999 
10 .158 .997 



100 



12 .376 .988 

11 .560 .974 

10 .766 .946 

9 .930 .888 

16 .062 .999 

15 .112 .998 

14 .191 .996 



1 135 



12 .95^ .872 

21 .Gu? .999 

19 .123 .99"' 

18 .196 .995 

17 .299 .991 

16 .455 .983 

15 .596 .968 



,042 



.044 



,046 



8 .083 .999 
7 .182 .997 

.363 .992 

.648 



.973 



6 

5 

4 .945 .888 
8 .104 .999 
7 .219 .996 



6 .420 .989 

5 .717 .963 
4 .972 .857 
9 .058 .999 
8 .128 .998 

7 .259 .995 

6 .480 .986 



.066 



,068 



9 .287 .993 

8 .483 .984 
7 .736 .956 
6 .948 .880 

12 .047 .999 

10 .184 ,997 

9 .326 .992 



8 .535 .979 
7 .788 .945 
6 .968 .856 

12 .057 .999 

11 .114 ,998 

10 .213 .996 

9 .368 .990 



105 



13 


.310 


.991 


14 


.764 


.943 


12 


.471 


.982 


13 


.901 


.901 


1 1 


.667 


.962 


12 


.975 


.843 


10 


.856 


.922 .140 22 


.053 


.999 


9 


.970 


.852 


20 


.100 


.998 


17 


.049 


.999 


19 


.16? 


.996 


16 


.090 


.996 


18 


.250 


.993 


15 


.155 


.997 


17 


.369 


.987 


14 


.254 


.993 


16 


.51« 


.976 


13 


.393 


.987 


15 


.683 


.957 


12 


.572 


.973 


14 


.857 


.924 


1 1 


.766 


.945 


13 


.944 


.876 


10 


.922 


.892 


12 


.989 


.815 


9 


.989 


.815 .145 22 


.047 


.999 



.048 



.783 .951 
.988 .825 
.073 .999 



.155 
.303 
.542 
.842 



.998 
.994 
.981 
.936 



.070 



8 .587 .975 
7 .834 .933 
6 .981 .836 

12 .069 .999 

11 .134 ,998 

10 .244 .995 

9 .412 .987 



.110 18 .039 .999 

16 .125 .998 

15 .208 .995 

14 ,327 .990 

13 .485 .980 

12 .672 .960 

11 .851 .922 



21 .081 ,993 

20 ,1 53 ,997 

19 ,20° ,994 

18 ,31? ,990 

17 ,446 ,981 

16 ,60? ,967 

15 ,763 .942 



,050 



.052 



9 
8 
7 
6 
5 
10 
8 



,090 .999 

.185 .997 

.351 .992 

.605 .976 

,892 ,917 

,051 .999 

,219 .996 



.075 



8 

7 
6 
13 
12 
1 1 
10 



.640 
.875 
.990 
.054 
,106 
, 194 
.333 



.969 
.919 
.814 
.999 
.998 
.996 
.991 



115 



10 
18 
17 
16 
15 
14 
13 



.963 

.057 
.101 
.170 
.271 
,409 
,581 



.860 
.999 
.998 
.996 
.992 
.985 
,971 



.150 



14 ,695 .903 

13 .971 .850 

23 ,058 .999 

21 .109 .998 

20 .173 ,996 

19 ,26? .992 

18 ,381 .986 



.054 



7 ,402 .989 

6 ,668 .968 
5 .931 .895 

10 .063 .999 

9 .132 .998 

8 .256 .995 

7 .455 .986 



.080 



9 
8 
7 
14 
12 
1 1 
10 



.530 
.765 
.948 
.043 
.155 
.268 
.435 



.979 
.949 
.877 
.999 
.997 
.994 
.985 



.120 



12 
1 1 
10 
19 
17 
16 
15 



.766 
.914 
.985 
,046 
,138 
.223 
.343 



.944 
.896 
.826 
,999 
,997 
,994 
,989 



.155 



17 ,526 ,975 

16 ,685 ,956 

15 ,853 ,925 

14 .958 ,880 

13 .986 .824 

23 .053 .999 

22 ,C89 .998 



,056 



6 ,729 ,959 

5 ,960 ,871 
10 ,077 ,999 

9 ,157 ,998 

8 ,296 ,994 

7 .511 .982 

6 .786 .948 



.085 



9 
8 
7 
14 
13 
12 
1 1 



.651 
.868 
.984 
.066 
.123 
.216 
.356 



.966 
.920 
.830 
.999 
.998 
.995 
.989 



125 



14 
13 
12 
1 1 
20 
18 
17 



.498 
.677 
.846 
.956 
.036 
.1 12 
.183 



.978 
.959 
.923 
.866 
.999 
.998 
.996 



21 .14^ .997 

20 .220 .994 

19 .324 ,989 

18 ,456 ,980 

17 ,60° ,966 

16 ,76? ,942 

15 ,89^ ,905 



1 19 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 105 - 105 
F X M D F 



155 lU .966 .856 

,160 24 .042 .999 

22 .117 .997 

21 .183 .995 

20 .274 .991 

19 .392 .985 



1! 



.533 .974 



.200 19 .912 .895 
IB .968 .854 

.210 30 .040 .999 
28 .103 .998 
27 .156 .996 
26 .228 .993 
25 .320 .98b 



.250 23 .951 .872 



.260 



.300 32 .58R .965 



22 


.982 


.837 


31 


.691^ 


.951 


36 


.035 


.999 


30 


.797 


.932 


34 


.087 


.998 


29 


.67fl 


.910 


33 


.130 


.996 


28 


.95<=, 


.884 


32 


.lo8 


.994 


27 


.971 


.855 



31 .263 .991 



26 .9BQ .825 



165 



17 .687 .955 

16 .830 .926 

15 .932 .884 

14 .983 .831 

25 .034 .999 

23 .096 .998 

22 .152 .Q96 



24 .433 .981 

23 .561 .969 

22 .693 .952 

21 .815 .928 

20 .908 .897 

19 .965 .858 

.220 31 .043 .999 



30 .354 .986 

29 .461 .978 

28 .578 .967 

27 .696 .951 

26 .804 .931 

25 .890 .905 

24 .948 .875 



,310 



42 .029 .999 

40 .071 .998 

39 .106 .997 

38 .15^ .995 

37 .214 .993 

36 .29^ .989 

35 .38<^ .984 



21 .230 .993 
20 .335 .988 
19 .464 .979 
18 .612 .965 
17 .761 .942 
15 .885 .907 
15 .961 .861 



30 .070 .998 
29 .109 .997 

23 .163 .995 
27 .236 .992 
26 .328 .98b 
25 .440 .980 

24 .565 .969 



.270 



23 .980 .841 

37 .037 .999 

35 .091 .998 

34 .135 .996 

33 .194 .994 

32 .269 .990 

31 .360 .965 



34 .48? .976 

33 .591 .965 

32 .69B .951 

31 .796 .933 

30 .876 .911 

29 .95-^ .886 

28 .969 .858 



170 



180 



25 


.047 


.999 


24 


.078 


.998 


23 


.126 


.997 


22 


.193 


.995 


21 


.284 


.991 


20 


.401 


.984 


19 


.540 


.973 


18 


.689 


.954 


17 


.826 


.926 


16 


.927 


.887 


15 


.979 


.838 


27 


.030 


.999 


25 


.085 


.998 



.230 



24 .134 .997 



23 .694 .952 
22. .812 .929 
21 .904 ,899 
20 .961 .862 
19 .988 .822 
33 .028 .999 
31 .074 .998 



30 .114 .997 
29 .170 .995 
28 .243 .992 
27 .335 .987 
26 .446 .979 
25 .569 .968 
24 .695 .952 



30 .466 .977 

29 .581 .966 

28 .697 .951 

27 .802 .931 

26 .887 .906 

25 .945 .877 

24 .978 .845 



.280 38 .040 .999 
36 .095 .998 
35 .140 .996 
34 .199 .994 
33 .274 .990 
32 .366 .985 
31 .470 .977 



,320 



27 


.988 


.829 


43 


.CiO 


.999 


41 


.074 


.998 


40 


.109 


.997 


J>9 


.15-7 


.995 


38 


.219 


.993 


37 


.295 


.989 


36 


.385 


.983 


35 


.486 


.975 


34 


.593 


.965 


33 


.698 


.951 


32 


.795 


.933 


31 


.e7u 


.912 


30 


.951 


.888 



23 .202 .994 

22 .294 .990 

21 .410 .983 

20 .546 .972 

19 .690 .954 

18 .823 .927 

17 .922 .890 



.240 



23 .810 .929 

22 .900 .900 

21 .958 .866 

20 .986 .827 

34 .031 .999 

32 .079 .998 

31 .120 .997 



30 .584 .966 

29 .697 .951 

28 .800 .932 

27 .884 .908 

26 .942 .880 

25 .975 .849 

.290 39 .042 .999 



.330 



29 .967 .861 

28 .987 .833 

44 .03? .999 

42 .01-' .998 

41 .11-^ .997 

40 .161 .995 

39 .223 .992 



190 



16 .975 .844 
28 .034 .999 
26 .091 .998 
25 .141 .996 
24 .211 .994 
23 .304 .989 
22 .418 .982 



30 .176 .995 
29 .250 .992 
28 .342 .987 
27 .451 .979 
26 .572 .968 
25 .695 .952 
24 .808 .930 



38 .065 .998 

37 .099 .997 

36 .144 .996 

35 .204 .993 

34 .280 .990 

33 .371 .984 

32 .475 .976 



38 .299 .988 

37 .389 .983 

36 .489 .975 

35 .595 .965 

34 .699 .951 

33 .794 .934 

32 .87? .913 



,200 



21 


.551 


.971 


23 


.896 


.902 


20 


.692 


.953 


22 


.954 


.869 


19 


.820 


.927 


21 


.984 


.832 


18 


.917 


.892 .250 35 


.033 


.999 


17 


.972 


.849 


33 


.083 


.998 


29 


.037 


.999 


32 


.125 


.997 


27 


.097 


.998 


31 


.182 


.995 


26 


.149 


.996 


30 


.256 


.991 


25 


.220 


.993 


29 


.348 


.986 


24 


.312 


.989 


28 


.456 


.978 


23 


.426 


.981 


27 


.575 


.967 


22 


.556 


.970 


26 


.696 


.951 


21 


.693 


.953 


25 


.806 


.930 


20 


i817 


.928 


24 


.893 


.904 



31 .586 .966 

30 .697 .951 

29 .799 .932 

28 .881 .909 

?7 .939 .882 

26 .973 .852 

.■^00 41 .027 .999 



39 .068 .998 
38 .102 .997 
37 .149 .996 
36 .209 .993 
35 .285 .989 
34 .376 .984 
33 .478 .976 



.340 



31 .92Q .889 

30 .965 .864 

29 .985 .836 

45 .053 .999 

43 .079 .998 

42 .116 .997 

41 .165 .995 



40 .227 .992 

39 .304 .988 

38 .393 .983 

37 .492 .975 

36 .597 .964 

35 .699 .951 

34 .793 .934 



120 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 105 - 105 

F X M D F 



.340 33 .870 .914 

32 .926 .891 

31 .963 .866 

30 .984 .839 

.360 47 .036 .999 

45 .084 .998 

44 .122 .997 



.420 40 .912 .902 

39 .951 .882 

33 .975 .860 

37 .988 .836 

.440 56 .029 .999 

54 .069 .998 

53 .101 .997 



.500 ^^3 .531 .972 

52 .622 .963 

51 .709 .953 

50 .788 .940 

49 .854 .925 

48 .905 .910 

47 .943 .893 



.580 66 .164 .995 

65 .22? .993 

64 .291 .989 

63 .370 .985 

62 .457 .979 

fel .546 .972 

60 .655 .964 



.380 



41 
40 



43 .172 .995 

42 .235 .992 

312 .988 

400 .982 

39 .498 .974 

38 .600 .964 

37 .700 .951 



36 .791 .935 

35 .866 .916 

34 .922 .894 

33 .960 .871 

32 .982 .846 

49 .039 .999 

47 .089 .998 



52 .143^ .996 
51 .196 .994 
50 .262 .990 
49 .339 .986 
48 .425 .980 
47 .518 .973 
46 .613 .963 



45 .704 .952 

44 .787 .938 

43 .856 .922 

42 .910 .904 

41 .948 .885 

40 .973 .865 

39 .987 .844 



.520 



46 


.968 


.875 


59 


.719 


.954 


45 


.984 


.857 


58 


.794 


.942 


64 


.034 


.999 


57 


.856 


.930 


62 


.078 


.998 


56 


.905 


.916 


61 


.1 12 


.997 


55 


.941 


.901 


60 


.157 


.995 


54 


.965 


.886 


59 


.213 


.993 


53 


.981 


.870 


58 


.281 


.990 .600 72 


.C5U 


.999 


57 


.358 


.985 


70 


.081 


.998 


56 


.444 


.980 


69 


.118 


.997 


55 


.535 


.972 


68 


.165 


.995 


54 


.625 


.963 


67 


.224 


.993 


53 


.71 1 


.953 


66 


.294 


.989 



52 .789 .941 



65 .374 .985 



46 .128 .996 

45 .179 .994 

44 .243 .991 

43 .319 .987 

42 .407 .981 

41 .504 .974 

40 .604 .964 



.460 



58 .031 .999 
56 .072 .998 
55 .104 .997 
54 .147 .996 
53 .201 .993 
52 .267 .990 
51 .344 .986 



.540 



51 .354 .927 

50 .905 .911 

49 .942 .895 

48 .967 .878 

47 .983 .860 

66 .034 .999 

64 .079 .998 



64 .461 .980 

63 .550 .973 

62 .639 .964 

61 .72? .954 

60 .796 .943 

59 .858 .931 

58 .906 .917 



.400 



39 .701 .951 

38 .789 .936 

37 .863 .917 

36 .919 .897 

35 .956 .875 

34 .979 .851 

52 .026 .999 



50 .430 .980 
49 .522 .973 
48 .616 .963 
47 .706 .952 
46 .787 .939 
45 .855 .923 
44 .908 .906 



63 .114 .997 

62 .160 .995 

61 .217 .993 

60 .265 .990 

59 .363 .985 

58 .448 .980 

57 .538 .972 



.650 



57 .941 .903 

56 .965 .888 

55 .981 .872 

77 .053 .999 

75 .080 .998 

74 .118 .997 

73 .167 .995 



50 .063 .998 

48 .133 .996 

47 .185 .994 

46 .250 .991 

45 .326 .987 

44 .414 .981 

43 .509 .973 



4? .607 .964 

41 .702 .951 

40 .788 .936 

39 .860 .919 

38 .915 .900 

37 .953 .878 

36 .977 .856 



.480 



43 .946 .888 
42 .971 .868 
41 .986 .846 
60 .032 .999 
58 .074 .998 
57 .107 .997 
56 .151 .995 



55 .206 .993 
54 .272 .990 
53 .349 .986 
52 .435 .980 
51 .526 .973 
50 .619 .963 
49 .707 .952 



.560 



56 


.628 


.964 


72 


.228 


.993 


55 


.714 


.953 


71 


.300 


.990 


54 


.790 


.941 


70 


.385 


.985 


53 


.854 


.928 


69 


.470 


.980 


52 


.904 


.913 


68 


.561 


.973 


51 


.941 


.897 


67 


.650 


.965 


50 


.966 


.881 


66 


.73^ 


.955 


49 


.982 


.864 


65 


.80" 


.945 


68 


.034 


.999 


64 


.864 


.933 


66 


.030 


.998 


63 


.910 


.920 


65 


.116 


.997 


62 


.944 


.907 


64 


.162 


.995 


61 


.967 


.893 


63 


.220 


.993 


60 


.98? 


.879 


62 


.288 


.989 .700 82 


.029 


.999 



.420 



35 .990 .833 

54 .028 .999 

52 .066 .998 

51 .097 .997 

50 .138 .996 

49 .191 .994 

48 .256 .991 



48 .787 .939 

47 .854 .924 

46 .907 .908 

45 .944 .890 

44 .969 .872 

43 .935 .853 

.500 62 .033 ,999 



47 


.333 


.986 


60 


.076 


.998 


46 


.420 


.981 


59 


.1 10 


.997 


45 


.513 


.973 


58 


.154 


.995 


44 


.610 


.963 


57 


.210 


.993 


43 


.703 


.951 


56 


.277 


.990 


42 


.787 


.937 


55 


.354 


.985 


41 


.858 


.920 


54 


.440 


.980 



.^80 



61 .367 .985 
60 .453 .979 
59 .542 .972 
58 .632 .964 
57 .716 .954 
56 .792 .942 
55 .855 .929 



54 .904 .914 

■^3 .941 .899 

52 .966 .883 

51 .981 .867 

70 .034 .999 

63 .081 .998 

67 .117 .997 



80 


.076 


.998 


79 


.115 


.997 


78 


.166 


.995 


77 


.229 


.993 


76 


.304 


.990 


75 


.339 


.986 


74 


.430 


.980 


73 


.57-^ 


.974 


72 


.663 


.966 


71 


.745 


.956 


70 


.815 


.946 


69 


.873 


.935 


68 


.917 


.923 


67 


.949 


.910 



121 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 105 - 110 



700 66 


.970 


.897 


.950 


99 


.586 


.987 


.025 


5 


.168 


.998 


.050 


5 


.941 


.891 


65 


.983 


.884 




98 


.743 


.980 




4 


.388 


.993 


.052 


10 


.067 


.999 


750 86 


.042 


.999 




97 


.857 


.971 




3 


.772 


.963 




9 


.1 58 


.998 


84 


.108 


.998 




96 


.929 


.962 


.026 


6 


.075 


.999 




8 


.266 


.995 


83 


.160 


.996 




95 


.969 


.952 




5 


.190 


.998 




7 


.470 


.986 


82 


.226 


.994 




94 


.987 


.942 




4 


.427 


.992 




6 


.746 


.958 


81 


.306 


.990 












3 


.818 


.953 




5 


.967 


.865 


80 


.395 


.986 


POPULATION 


1 10 


.028 


6 


.101 


.999 


.054 


10 


.08? 


.999 


79 


.491 


.981 












5 


.241 


.997 




9 


.166 


.997 


78 


.587 


.974 


.002 


1 


.218 


.999 




4 


.510 


.987 




8 


.309 


.993 


77 


.679 


.966 


.004 


1 


.435 


.997 




3 


.897 


.926 




7 


.529 


.982 


76 


.761 


.957 


.005 


1 


.542 


.994 


.030 


6 


.132 


.999 




6 


.805 


.945 


75 


.831 


.948 


.006 


2 


.160 


.999 




5 


.297 


.995 




5 


.983 


.838 


74 


.886 


.937 




1 


.647 


.990 




4 


.595 


.981 


.056 


1 1 


.04R 


.999 


73 


.927 


.925 


.007 


2 


.209 


.999 




3 


.952 


.890 




9 


.196 


.997 


72 


.956 


.913 




1 


.749 


.981 


.032 


7 


.070 


.999 




8 


.355 


.991 


71 


.975 


.901 


.008 


2 


.263 


.998 




6 


.168 


.998 




7 


.590 


.977 


70 


.986 


.889 




1 


.843 


.966 




5 


.359 


.993 




6 


.858 


.930 


800 91 


.032 


.999 


.009 


2 


.320 


.997 




4 


.681 


.973 


.058 


1 1 


.059 


.999 


89 


.096 


.998 




1 


.921 


.936 




3 


.983 


.846 




10 


.121 


.998 


88 


.150 


.997 


.010 


3 


.1 10 


.999 


.034 


7 


.092. 


.999 




9 


.250 


.996 


87 


.219 


.994 




2 


.381 


.996 




6 


.209 


.997 




8 


.405 


.989 


86 


.304 


.991 




1 


.973 


.887 




5 


.427 


.990 




7 


.650 


.970 


85 


.401 


.987 


.01 1 


3 


.139 


.999 




4 


.764 


.960 




6 


.90? 


.912 


84 


.503 


.982 




2 


.444 


.994 


.036 


7 


.1 18 


.999 


.060 


1 1 


.073 


.999 


83 


.605 


.975 


.012 


3 


.170 


.999 




6 


.255 


.996 




10 


.145 


.998 


82 


.701 


.967 




2 


.509 


.992 




5 


.498 


.987 




9 


.267 


.994 


81 


.784 


.959 


.013 


3 


.205 


.998 




4 


.839 


.943 




8 


.456 


.986 


80 


.852 


.949 




2 


.576 


.989 


.038 


8 


.065 


.999 




7 


.709 


.962 


79 


.904 


.938 


.014 


3 


.242 


.998 




7 


.147 


.998 




6 


.956 


.892 


78 


.941 


.927 




2 


.643 


.984 




6 


.306 


.994 


.062 


1 1 


.089 


.999 


77 


.966 


.916 


.015 


4 


.094 


.999 




5 


.572 


.981 




10 


.171 


.997 


76 


.981 


.904 




3 


.283 


.997 




4 


.901 


.919 




9 


.307 


.993 


850 95 


.041 


.999 




2 


.709 


.978 


.040 


8 


.083 


.999 




8 


.510 


.982 


93 


.130 


.997 


.016 


4 


.114 


.999 




7 


.181 


.997 




7 


.765 


.952 


92 


.205 


.995 




3 


.325 


.996 




6 


.362 


.992 




6 


.961 


.870 


91 


.298 


.992 




2 


.773 


.969 




5 


.647 


.974 


.064 


12 


.053 


.999 


90 


.405 


.988 


.017 


4 


.136 


.999 




4 


.946 


.891 




1 1 


.106 


.998 


89 


.519 


.983 




3 


.370 


.995 


.042 


8 


.105 


.999 




10 


.200 


.996 


88 


.630 


.976 




2 


.833 


.956 




7 


.220 


.997 




9 


.350 


.991 


87 


.731 


.969 


.018 


4 


.161 


.999 




6 


.421 


.990 




8 


.565 


.978 


86 


.815 


.960 




3 


.417 


.993 




5 


.720 


.964 




7 


.81-7 


.940 


85 


.880 


.950 




2 


.886 


.939 




4 


.974 


.858 




6 


.978 


.847 


84 


.927 


.940 


.019 


4 


.187 


.998 


.044 


9 


.059 


.999 


.066 


12 


.065 


.999 


83 


.958 


.929 




3 


.466 


.991 




8 


.1 30 


.998 




1 1 


.127 


.998 


82 


.977 


.918 




2 


.929 


.916 




7 


.262 


.995 




10 


.23? 


.995 


81 


.989 


.907 


.020 


5 


.078 


.999 




6 


.484 


.986 




9 


.395 


.989 


900 99 


.045 


.999 




4 


.216 


.998 




5 


.789 


.952 




8 


.621 


.972 


98 


.096 


.998 




3 


.517 


.989 




4 


.989 


.824 




7 


.86? 


.926 


97 


.175 


.997 




2 


.961 


.889 


.046 


9 


.075 


.999 




6 


.988 


.824 


96 


.281 


.994 


.021 


5 


.093 


.999 




8 


.158 


.998 


.068 


12 


.078 


.999 


95 


.408 


.990 




4 


.246 


.997 




7 


.309 


.994 




1 1 


.149 


.998 


94 


.542 


.985 




3 


.568 


.986 




6 


.550 


.981 




10 


.266 


.994 


93 


.669 


.978 




2 


.981 


.857 




5 


.851 


.935 




9 


.44-^ 


.986 


92 


.777 


.970 


.022 


5 


.109 


.999 


.048 


9 


.093 


.999 




8 


.675 


.965 


91 


.860 


.961 




4 


.279 


.996 




8 


.191 


.997 




7 


.901 


.910 


90 


.919 


.951 




3 


.620 


.982 




7 


.360 


.992 


.070 


13 


.047 


.999 


89 


.956 


.941 


.023 


5 


.127 


.999 




6 


.617 


.975 




1 1 


.174 


.997 


88 


.978 


.931 




4 


.314 


.996 




5 


.902 


.915 




10 


.303 


.993 


87 


.990 


.921 




3 


.671 


.977 


.050 


10 


.053 


.999 




9 


.49? 


.983 


950 102 


.103 


.999 


.024 


5 


.147 


.999 




8 


.227 


.996 




8 


.729 


.957 


101 


.232 


.996 




4 


.350 


.994 




7 


.414 


.989 




7 


.95? 


.893 


100 


.404 


.993 




3 


.722 


.971 




6 


.683 


.968 


.075 


13 


.075 


.999 



122 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 110 - 110 
F X M D F 



,075 12 .lai .998 

11 .247 .995 

10 .407 .988 

9 .620 .971 

8 .846 .930 

7 .979 .844 

.080 14 .061 .999 



.115 15 .353 .989 

14 .510 .978 

13 .690 .956 

12 .857 .922 

11 .962 .864 

.120 20 .039 .999 

18 .119 .998 



.150 20 .245 .993 

19 .356 .988 

18 .493 .978 

17 .647 .962 

16 .797 .936 

15 .914 .897 

14 .976 .846 



.190 26 .145 .996 

25 .215 .994 

24 ,306 .990 

23 .41 « .983 

22 .54« .972 

21 .685 .955 

20 .81 P .931 



13 .114 .998 

12 .202 .996 

11 .336 .991 

10 .522 .980 

9 .744 .953 

8 .929 .893 

.085 15 .049 .999 



17 .193 .995 

16 .298 .991 

15 .438 .983 

14 .607 .968 

13 .782 .941 

12 .919 .895 

11 .984 ,831 



.155 24 .051 .999 

23 .085 .998 

22 .135 .997 

21 .207 .994 

20 .305 .990 

19 .430 .983 

18 .576 .970 



,200 



19 .909 .898 
18 .967 .858 
30 .040 .999 
28 .103 .998 
27 .156 .996 
26 .227 .993 
25 .31Q .989 



.090 



13 .165 .997 

12 ,277 .993 

11 .438 .985 

10 .642 .967 

9 .850 .927 

8 .974 .851 

16 .039 .999 



.125 



20 .057 .999 

19 .098 .996 

18 .160 .996 

17 .251 .993 

16 .374 .987 

15 .529 .976 

14 .701 .956 



.160 



17 .728 .949 

16 .362 .918 

15 .950 .873 

14 .989 .820 

25 .042 .999 

23 .113 .993 

22 .175 .996 



,210 



24 .45? .981 

23 .559 .970 

22 .69? .954 

21 .815 .930 

20 .909 .899 

19 .965 .860 

31 .045 .999 



.095 



14 


.134 


.998 


13 


.859 


.920 


13 


.228 


.995 


12 


.959 


.867 


12 


.365 


.989 .130 21 


.046 


.999 


1 1 


,548 


.977 


19 


.133 


.997 


10 


.756 


.949 


18 


.21 1 


.995 


9 


.926 


.894 


17 


.318 


.990 


16 


.061 


.999 


16 


.458 


.982 


15 


.1 10 


.998 


15 


.622 


.966 


14 


.188 


.996 


14 


.788 


.939 


13 


.304 


.992 


13 


.917 


.896 


12 


.465 


.983 


12 


.981 


.337 


1 1 


.661 


.964 ,135 22 


.038 


.999 


10 


.853 


.925 


20 


.1 10 


.998 


9 


.970 


.856 


19 


.176 


.996 



21 .261 .992 

20 .373 .986 

19 .508 .976 

18 .656 .960 

17 .802 .934 

16 .912 .897 

15 .974 .849 



.165 26 .034 .999 

24 .094 .998 

23 .147 .996 

22 .222 .994 

21 .322 .989 

20 .446 .981 

19 .589 .968 



,220 



30 .07? .998 

29 .111 .997 

28 .166 .996 

27 ,239 ,993 

26 .35? .988 

25 .444 .980 

24 .570 .969 



23 .700 .952 

22. .817 ,929 

21 .90« .899 

,964 .862 

,989 .822 

33 .050 .999 

31 .078 .998 



20 
19 



100 17 .049 .999 



18 .270 .992 



.105 



.110 



.115 



15 


.154 


.997 


17 


.394 


.986 


14 


.253 


.994 


16 


.546 


,974 


13 


.392 


.987 


15 


.712 


.953 


12 


.570 


.974 


14 


.860 


.919 


1 1 


.766 


.946 


13 


.956 


.869 


10 


.923 


.895 .140 22 


.054 


.999 


9 


.990 


.817 


21 


.091 


.998 


18 


.040 


.999 


20 


.147 


.997 


16 


.127 


.998 


19 


.228 


.994 


15 


.210 


.995 


18 


.338 


.989 


14 


.329 


.990 


17 


.476 


.980 


13 


.489 


.980 


16 


.635 


.964 


12 


.676 


.961 


15 


.793 


.937 



11 .855 .923 

10 .966 .860 

18 .059 .999 

17 .104 .998 

16 .174 .996 

15 .276 .992 

14 .416 .985 



13 .590 .971 

12 .775 .944 

11 .921 .895 

10 .987 .825 

19 .048 .999 

17 .144 .997 

16 .231 .994 



.145 



,150 



14 .915 .896 

13 .979 .841 

23 .044 .999 

21 .123 .997 

20 .192 .995 

19 .288 .991 

18 .413 .984 



17 .562 .972 
16 .721 .951 
15 .861 .918 
14 .953 .871 
24 .036 .999 
22 .102 .998 
21 .161 .996 



.170 



.180 



190 



18 .736 .948 
17 .863 .917 
16 .948 .875 
15 .987 .825 
26 .047 .999 
25 .078 .998 
24 .124 .997 



23 .189 ,995 

22 ,277 ,991 

21 ,389 ,985 

20 ,522 .975 

19 .668 .958 

18 .805 .933 

17 .911 .896 



16 


.971 


.852 


28 


.032 


.999 


?6 


.086 


.998 


25 


.135 


.997 


24 


.202 


.994 


23 


,291 


.990 


22 


,404 


.984 


21 


.536 


.973 


?0 


.677 


.957 


19 


.809 


.932 


18 


.910 


.898 


17 


.9b9 


.855 


29 


.036 


.999 


27 


.095 


.998 



,230 



,240 



30 .120 ,997 

29 ,176 ,995 

28 .251 ,992 

27 ,345 ,987 

26 ,456 ,979 

25 ,580 ,968 

24 ,706 .951 



23 


.820 


,929 


22 


.907 


.899 


21 


.96? 


.664 


20 


.98P 


.825 


34 


.054 


.999 


32 


.085 


.998 


31 


.128 


.997 


30 


.187 


.995 


29 


.263 


.991 


28 


.357 


.986 


27 


.463 


.978 


26 


,590 


.967 


25 


,71? 


.950 


24 


,82? 


.926 



23 .907 .900 

22 .960 .866 

21 .987 .829 

35 .037 .999 

33 .091 .998 

32 .1 56 .996 

31 .196 .994 



123 



FINITE QUEUING TABLES 



POPULATION no - 110 



M 



D 



M 



D 



,240 30 .274 .991 

29 .369 .985 

28 .479 .977 

27 .599 .965 

26 .718 .949 

25 .824 .927 

24 .907 .900 



23 .959 .868 

22 .986 .832 

,250 36 .041 .999 

34 .098 .998 

33 .144 .996 

32 .206 .994 

31 .285 .990 



30 .380 .984 
29 .489 .976 
28 .607 .964 
27 .723 .948 
26 .827 .927 
25 .906 .900 
24 .958 .869 



23 .985 .835 

,260 38 .028 .999 

36 .069 .998 

35 .104 .997 

34 .153 .996 

33 .216 .993 

32 .295 .989 



31 .391 .984 

30 .499 .975 

29 .615 .963 

28 .729 .947 

27 .829 .926 

26 .906 .900 

25 .957 .871 



24 .984 .838 

.270 39 .030 .999 

37 .074 .998 

36 .111 .997 

35 .161 .995 

34 .225 .993 

33 .306 .989 



32 .401 .983 

31 .509 .974 

30 .623 .962 

29 .734 .946 

28 .831 .926 

27 .906 .901 

26 .955 .872 



25 .983 .841 

,280 40 .033 .999 

38 .079 .998 

37 .117 .997 

36 .169 .995 

35 .234 .992 

34 .316 .988 



33 .411 .982 

32 .518 .973 

31 .630 .961 

30 .738 .945 

29 .833 .925 

28 .906 .901 

27 .955 .873 



.280 26 .982 .843 .330 

.290 41 .036 .999 

39 .084 .998 

38 .124 .997 

37 .176 .995 

36 .?43 .992 

35 .325 .987 



34 .421 .981 

33 .527 .972 

32 .637 .960 

31 .743 .945 .340 

30 .835 .925 

?9 .906 .901 

28 .954 .874 



27 .981 .845 

.300 42 .038 .999 

40 .089 .998 

39 .130 .996 

38 .184 .994 

37 .252 .991 

36 .335 .987 



35 .430 .980 

34 .536 .971 

33 .644 .959 

32 .747 .944 

31 .837 .924 .360 

30 .906 .901 

29 .953 .875 



28 .980 .847 

.310 43 .041 .999 

41 .095 .998 

40 .137 .996 

39 .192 .994 

38 .261 .991 

37 .344 .986 



36 .440 .980 
35 .544 .971 
34 .650 .959 
33 .751 .943 
32 .839 .924 
31 .906 .902 
30 .952 .876 .380 



29 .979 .849 

.320 45 .028 .999 

43 .067 .998 

42 .100 .997 

41 .143 .996 

40 .199 .994 

39 .269 .990 



38 .353 .986 
37 .448 .979 
36 .552 .970 
35 .656 .958 
34 .755 .943 
33 .841 .924 
32 .907 .902 



31 .952 .877 

30 .978 .851 .400 

.330 46 .030 .999 

44 .071 .998 

43 .105 .997 

42 .149 .996 

41 .207 .993 



40 


.278 


.990 


400 47 


.33? 


.987 


39 


.362 


.985 


46 


.41 ° 


.981 


38 


.457 


.978 


45 


.51 1 


.974 


37 


.559 


.969 


44 


.607 


.964 


36 


.662 


.957 


43 


.700 


.953 


35 


.759 


.942 


42 


.785 


.939 


34 


.842 


.924 


41 


.656 


.922 


33 


.907 


.902 


40 


.91 1 


.904 


32 


.951 


.878 


39 


.950 


.884 


31 


.978 


.853 


38 


.974 


.862 


47 


.032 


.999 


37 


.9b8 


.840 


45 


.075 


.998 


420 56 


.05? 


.999 


44 


.1 10 


.997 


54 


.C7U 


.998 


43 


.156 


.995 


53 


.107 


.997 


42 


.214 


.993 


52 


.150 


.996 


41 


.2b6 


.989 


51 


.204 


.993 


40 


.370 


.984 


50 


.269 


.990 


39 


.465 


.978 


49 


.346 


.986 


38 


.567 


.968 


48 


.453 


.980 


37 


.668 


.956 


47 


.525 


.973 


36 


.763 


.941 


46 


.619 


.963 


35 


.844 


.923 


45 


.710 


.952 


34 


.907 


.902 


44 


.791 


.938 


33 


.951 


.879 


43 


.860 


.922 


32 


.977 


.854 


42 


.91 3 


.904 


49 


.036 


.999 


41 


.950 


.885 


47 


.083 


.998 


40 


.974 


.865 


46 


.120 


.997 


39 


.988 


.844 


45 


.168 


.995 .440 58 


.056 


.999 


44 


.229 


.992 


56 


.080 


.998 


43 


.302 


.989 


55 


.114 


.997 


42 


.387 


.983 


54 


.159 


.995 


41 


.481 


.976 


53 


.215 


.993 


40 


.581 


.967 


52 


.28? 


.990 


39 


.679 


.955 


51 


.360 


.985 


38 


.770 


.940 


50 


.447 


.979 


37 


.848 


.923 


49 


.558 


.972 


36 


.908 


.903 


48 


.651 


.962 


35 


.950 


.881 


47 


.719 


.951 


34 


.976 


.857 


46 


.798 


.937 


33 


.990 


.833 


45 


.864 


.922 


52 


.026 


.999 


44 


.915 


.904 


49 


.091 


.99e 


43 


.950 


.886 


48 


.130 


.996 


42 


.974 


.867 


47 


.180 


.994 


41 


.987 


.847 


46 


.243 


.992 .460 61 


.025 


.999 


45 


.317 


.988 


58 


.086 


.998 


44 


.403 


.982 


57 


.12? 


.997 


43 


.497 


.975 


56 


.16° 


.995 


42 


.594 


.966 


55 


.226 


.992 


41 


.690 


.954 


54 


.295 


.989 


40 


.778 


.939 


53 


.374 


.984 


39 


.852 


.922 


52 


.46 1 


.978 


38 


.909 


.903 


51 


.55? 


.971 


37 


.950 


.882 


50 


.64? 


.961 


36 


.975 


.860 


49 


.728 


.950 


35 


.989 


.837 


48 


.805 


.936 


54 


.029 


.999 


47 


.868 


.921 


52 


.068 


.998 


46 


.917 


.905 


51 


.099 


.997 


45 


.951 


.887 


50 


.140 


.996 


44 


.974 


.868 


49 


.192 


.994 


U3 


.987 


.849 


48 


.256 


.991 .480 63 


.027 


.999 



124 



FINITE QUEUING TABLES 

X M D F 

.480 60 .092 .998 

59 .130 .996 

58 .178 .994 

57 .237 .992 

56 .308 .988 

55 .387 .984 

54 .474 .977 



53 .564 .970 

52 .654 .960 

51 .737 .949 

50 .81 1 .936 

49 .872 .921 

48 .919 .905 

47 .952 .888 



46 .974 .870 

45 .987 .852 

.500 65 .029 .999 

63 .067 .998 

62 .097 .997 

61 .137 ,996 

60 .187 .994 



X 
540 



.560 



M 



D 



57 .764 .947 
56 .831 .934 
55 .886 .921 
54 .927 .906 
53 .956 .891 
52 .976 .875 
51 .987 .858 



71 .035 .999 

69 .079 .998 

68 .114 .997 

67 .158 .995 

66 .214 .993 

65 .280 .990 

64 .355 .986 



63 .438 .981 
62 .525 .974 
61 .613 .967 
60 .697 .957 
59 .773 .946 
58 .838 .934 
57 .891 .921 



.650 



.700 



POPULATION 110 - 115 

D F X M D F 



77 


.135 


.996 


.800 79 


.989 


.898 


76 


.187 


.995 


.850 99 


.053 


.999 


75 


.251 


.992 


98 


.094 


.998 


74 


.325 


.989 


97 


.153 


.997 


73 


.407 


.984 


96 


.25? 


.995 


72 


.494 


.979 


95 


.328 


.992 


71 


.583 


.972 


94 


.455 


.987 


70 


.669 


.964 


93 


.54-7 


.982 


69 


.747 


.954 


92 


.654 


.975 


68 


.815 


.944 


91 


.749 


.968 


67 


.871 


.933 


90 


.828 


.959 


66 


.915 


.920 


89 


.888 


.950 


65 


.947 


.908 


88 


.95? 


.940 


64 


.968 


.894 


87 


.961 


.930 


63 


.982 


.881 


86 


.979 


.920 


85 


.042 


.999 


85 


.989 


.909 


B3 


.100 


.998 


.900 103 


.073 


.999 


82 


.145 


.996 


102 


.1 5« 


.998 


81 


.202 


.994 


101 


.251 


.996 


80 


.271 


.992 


100 


.347 


.992 


79 


.350 


.988 


99 


.476 


.988 



.520 



,540 



59 


.248 


.991 


56 


.930 


.906 


58 


.320 


.988 


55 


.958 


.891 


57 


.400 


.983 


54 


.976 


.876 


56 


.487 


.977 


53 


.988 


.860 


55 


.577 


.969 .! 


580 73 


.036 


.999 


54 


.665 


.959 


71 


.083 


.998 


53 


.746 


.948 


70 


.119 


.997 


52 


.818 


.935 


69 


.165 


.995 


51 


.877 


.921 


68 


.222 


.993 


50 


.921 


.905 


67 


.290 


.990 


49 


.953 


.889 


66 


.367 


.986 


48 


.974 


.872 


65 


.450 


.980 


47 


.987 


.854 


64 


.538 


.974 


67 


.031 


.999 


63 


.625 


.966 


65 


.071 


.998 


62 


.708 


.956 


64 


.103 


.997 


61 


.782 


.946 


63 


.144 


.996 


60 


.845 


.934 


62 


.196 


.994 


59 


.896 


.921 


61 


.259 


.991 


58 


.934 


.907 


60 


.332 


.987 


57 


.960 


.892 


59 


.413 


.982 


56 


.977 


.877 


58 


.500 


.976 


55 


.988 


.862 


57 


.589 


.968 .600 75 


.038 


.999 


56 


.676 


.959 


73 


.086 


.998 


55 


.755 


.948 


72 


.124 


.997 


54 


.825 


.935 


71 


.172 


.995 


53 


.881 


.921 


70 


.231 


.993 


52 


.924 


.906 


69 


.300 


.989 


51 


.955 


.890 


68 


.378 


.985 


50 


.975 


.873 


67 


.463 


.980 


49 


.987 


.856 


66 


.551 


.973 


69 


.033 


,999 


65 


.637 


.965 


67 


.075 


,998 


64 


.719 


.956 


66 


.108 


,997 


63 


.791 


.945 


65 


.151 


.996 


62 


.853 


.933 


64 


.205 


.993 


61 


.901 


.921 


63 


.269 


.991 


60 


.937 


.907 


62 


.343 


.987 


59 


.962 


.893 


61 


.426 


.982 


58 


.979 


.878 


60 


.513 


,975 


57 


.989 


.863 


59 


.601 


.967 .650 80 


.041 


.999 


58 


.686 


.958 


78 


.094 


.998 



.750 



.800 



78 


.437 


.983 




98 


.605 


.982 


77 


.527 


.978 




97 


.721 


.975 


76 


.617 


.971 




96 


.817 


.967 


75 


.702 


.962 




95 


.887 


.958 


74 


.777 


.953 




94 


.956 


.949 


73 


.841 


.943 




93 


.966 


.939 


72 


.892 


.932 




92 


.983 


.929 


71 


.930 


.920 


.950 


107 


.086 


.999 


70 


.957 


.908 




106 


.201 


.997 


69 


.975 


.896 




105 


.36? 


.994 


68 


.986 


.883 




104 


.541 


.989 


90 


.040 


.999 




103 


.703 


.982 


88 


.103 


.998 




102 


.82fl 


.974 


87 


.152 


.996 




101 


.91 1 


.966 


86 


.215 


.994 




100 


.958 


.957 


85 


.290 


.991 




99 


.98? 


.947 


84 


.376 


.988 










83 


.468 


.983 










82 


.563 


.977 










81 


.654 


.970 










80 


.738 


.961 










79 


.810 


.952 


POPULATION 


1 15 


78 


.869 


.942 










77 


.913 


.931 


.002 


1 


.228 


.999 


76 


.946 


.920 


.003 


1 


.341 


.998 


75 


.968 


.908 


.004 


1 


.455 


.997 


74 


.982 


.897 


.005 


1 


.566 


.994 


95 


.036 


.999 


.006 


2 


.17^ 


.999 



93 .102 .998 

92 .156 .996 

91 .225 .994 

90 .309 .991 

89 .404 .987 

88 .504 .982 

R7 .604 .976 



86 .697 .969 

85 .779 .960 

84 .847 .951 

83 .899 .941 

82 .937 .931 

81 .963 .920 

80 .979 .909 



.007 



.008 



.009 



.010 



.01 1 



.012 



1 


.676 


.988 


2 


.226 


.999 


1 


.781 


.978 


2 


.283 


.998 


1 


.875 


.958 


2 


.345 


.997 



1 .948 .920 



3 


.123 


.999 


2 


.409 


.995 


1 


.987 


.860 


3 


.154 


.999 


2 


.477 


.993 


3 


.189 


.999 


2 


.546 


.991 



125 



FINITE QUEUING TABLES 



POPULATION 115 - 115 



,013 



,014 



,015 



,016 



,017 



,018 



,019 



,020 



,021 



,022 



,023 



,024 



,025 



,026 



,028 



,030 



.032 



,034 



,036 





D 


F 


X 


M 


D 


F X 


3 


.227 


.998 


.036 


6 


.297 


.995 .060 


2 


.616 


.986 




5 


.560 


.983 


4 


.088 


.999 




4 


.894 


.925 


3 


.268 


.997 


.038 


8 


.081 


.999 


2 


.686 


.981 




7 


.177 


.998 


4 


.108 


.999 




6 


.355 


.993 .062 


3 


.312 


.997 




5 


.639 


.976 


2 


.755 


.973 




4 


.943 


.896 


4 


.130 


,999 


.040 


8 


.103 


.999 


3 


.358 


.995 




7 


.217 


.997 


2 


.819 


.961 




6 


.417 


.990 


4 


.155 


.999 




5 


.716 


.966 


3 


.407 


.994 




4 


.974 


.862 .064 


2 


.877 


.945 


.042 


9 


.059 


.999 


4 


.183 


.998 




8 


.129 


.998 


3 


.458 


.992 




7 


.261 


.996 


2 


.924 


.922 




6 


.483 


.987 


4 


.212 


.998 




5 


.789 


.953 


3 


.51 1 


.990 


.044 


9 


.075 


.999 .066 


2 


.959 


.894 




8 


.159 


.998 


5 


.092 


.999 




7 


.310 


.994 


4 


.244 


.997 




6 


.552 


.982 


3 


.564 


.987 




5 


.854 


.936 


2 


.981 


.860 


.046 


9 


.094 


.999 


5 


.109 


.999 




8 


.193 


.997 .068 


4 


.278 


.997 




7 


.363 


.992 


3 


.619 


.983 




6 


.622 


.976 


5 


.127 


.999 




5 


.907 


.915 


4 


.314 


.996 


.048 


10 


.055 


.999 


3 


.673 


.978 




8 


.231 


.996 


5 


.148 


.999 




7 


.420 


.989 .070 


4 


.352 


.995 




6 


.691 


.968 


3 


.727 


.971 




5 


.946 


.890 


5 


.170 


.998 


.050 


10 


.069 


.999 


4 


.392 


.993 




9 


.143 


.998 


3 


.778 


.963 




8 


.273 


.995 


6 


.077 


.999 




7 


.480 


.986 


5 


.194 


.998 




6 


.758 


.957 .075 


4 


.434 


.992 




5 


.972 


.862 


3 


.826 


.953 


.052 


10 


.086 


.999 


6 


.090 


.999 




9 


.172 


.997 


5 


.220 


.997 




8 


.319 


.993 


4 


.477 


.990 




7 


.542 


.981 


3 


.870 


.940 




6 


.819 


.944 


6 


.120 


.999 




5 


.987 


.833 .080 


5 


.277 


.996 


.054 


1 1 


.051 


.999 


4 


.565 


.984 




9 


.205 


.997 


3 


.938 


.905 




8 


.368 


.991 


7 


.065 


.999 




7 


.606 


.976 


6 


.156 


.998 




6 


.872 


.927 


5 


.340 


.994 


.056 


1 1 


.063 


.999 


4 


.656 


.976 




10 


.128 


.998 .085 


3 


.977 


.861 




9 


.241 


.996 


7 


.086 


.999 




8 


.420 


.989 


6 


.198 


.997 




7 


.669 


.969 


5 


.409 


.992 




6 


.915 


.908 


4 


.745 


.965 


.058 


1 1 


.078 


.999 


7 


.1 12 


.999 




10 


.154 


.998 


6 


.245 


.996 




9 


.281 


.994 .090 


5 


.483 


.988 




8 


.475 


.985 


4 


.826 


.948 




7 


.730 


.960 


8 


.0b2 


.999 




6 


.948 


.886 


7 


.142 


.998 


.060 


11 


.096 


.999 



M 



D 



10 .182 .997 
9 .324 .993 
8 .532 .981 
7 .788 .949 
6 .970 .862 

12 .058 .999 

11 .115 .998 



10 .214 .996 
9 .370 .991 
8 .591 .976 
7 .840 .936 
6 .984 .838 

12 .071 .999 

11 .1 37 .998 



10 .248 .995 
9 .418 .988 
8 .649 .970 
7 .885 .920 

12 .086 .999 

11 .162 .997 
10 .286 .99ii 



9 .469 .985 

3 .706 .962 

7 .921 .903 

13 .053 .999 

11 .190 .997 

10 .326 .992 

9 .522 .981 



8 .760 .953 
7 .949 .883 

13 .065 .999 

12 .123 .998 

11 .220 .996 

10 .370 .990 

9 .576 .976 



8 .810 .942 

7 .969 .863 

14 .053 .999 

13 .101 .998 

12 .182 .997 

11 .308 .992 

10 .487 .983 



9 .709 .960 

8 .910 .907 

15 .044 .999 

13 .151 .997 

12 .257 .994 

11 .411 .987 

10 .613 .972 



9 .828 .936 

8 .967 .863 

15 .069 .999 

14 .125 .998 

13 .214 .995 

12 .346 .990 

11 .526 .979 



10 .735 .955 

9 .915 .903 

16 .057 .999 

15 .104 .998 

14 .179 .996 

13 .291 .993 

12 .449 .984 



.090 



.095 



.100 



1 105 



,110 



.1 15 



.120 



.125 



1 1 


.644 


.967 


10 


.841 


.931 


9 


.966 


.863 


17 


.047 


.999 


15 


.14q 


.997 


14 


.245 


.994 


13 


.38? 


.988 


12 


.559 


.976 


1 1 


.757 


.950 


10 


.919 


.900 


9 


.989 


.822 


18 


.059 


.999 


16 


.124 


.998 


15 


.206 


.995 



14 .324 .991 

13 .483 .982 

12 .671 .963 

11 .85? .926 

10 .965 .864 

18 .059 .999 

17 .104 .998 



16 .173 .996 

15 .275 .993 

14 .415 .986 

13 .589 .972 

12 .775 .945 

11 .92? .897 

10 .988 .826 



19 


.049 


.999 


17 


.145 


.997 


16 


.253 


.994 


15 


.355 


.989 


14 


.51 3 


.979 


13 


.694 


.959 


12 


.861 


.922 


1 1 


.965 


.864 


20 


.040 


.999 


18 


.12? 


.998 


17 


.197 


.995 


16 


.304 


.991 


15 


.445 


.983 


14 


.615 


.969 



13 .790 .941 
12 .925 .895 
11 .985 .830 
20 .060 .999 
19 .10? .998 
18 .166 .996 
17 .259 .993 



16 .384 .987 

15 .54 1 .976 

14 .714 .955 

13 .869 .919 

12 .964 .864 

21 .050 .999 

20 .085 .998 



19 .140 .997 

18 .220 .994 

17 .351 .990 

16 .473 .981 

15 .639 .965 

14 .803 .937 

13 .927 .893 



126 



FINITE QUEUING TABLES 



POPULATION 115 



1 15 



M 



.125 
.130 



12 .985 .833 

22 .041 .999 

20 .118 .998 

19 .187 .996 

18 .284 .992 

17 .412 .985 

16 .566 .973 



.160 



23 .168 .996 
22 .249 .993 
21 .355 .988 
20 .484 .979 
19 .630 .965 
18 .773 .942 
17 .891 .909 



.200 



.210 



20 


.963 


.866 


.250 


28 


.74Q 


.945 


19 


.989 


.825 




27 


.846 


.923 


33 


.031 


.999 




26 


.918 


.897 


31 


.079 


.998 




25 


.964 


.867 


30 


.120 


.997 




24 


.987 


.834 


29 


.176 


.995 


.260 


39 


.05=; 


.999 



28 .251 .992 



37 .03" .998 



.135 



140 



15 .732 .951 

14 .876 .916 

13 .964 .865 

22 .059 .999 

21 .099 .998 

20 .159 .996 

19 .244 .993 



18 .357 .988 

17 .499 .979 

16 .659 .962 

15 .814 .934 

14 .929 .891 

13 .984 .835 

23 .049 .999 



.165 



170 



16 .963 ,865 
27 .034 .999 
25 .092 .998 
24 .143 .997 
23 .215 .994 
22 .309 .990 
21 .428 .983 



20 .566 .971 

19 .711 ,953 

18 .841 .926 

17 .934 .386 

16 .981 .841 

■>! ,0)1X1 .999 

26 .077 .996 



.220 



27 


.344 


.987 


26 


.455 


.980 


25 


.579 


.969 


24 


.705 


.953 


23 


.820 


.930 


22 


.908 


.901 


21 


.963 


.866 


20 


.989 


.827 


34 


.035 


.999 


32 


.087 


.998 


31 


.131 


.997 


30 


.190 


.995 


29 


.267 


.991 



.270 



28 .362 .986 



36 .123 .997 

35 .177 .995 

34 .24S .992 

33 .329 .988 

32 .42-' .981 

31 .557 .972 

30 .650 .960 



29 .759 .943 

28 .851 .922 

27 .920 .896 

26 .96U .867 

25 .987 .835 

40 .C3<5 .999 

38 .091 .998 



22 .063 .998 
21 ,134 .997 
20 .208 .995 
19 .309 .990 
18 .438 .983 
17 .589 .970 
16 ,747 .948 



25 .122 .997 
24 .134 ,995 
23 .269 .992 
22 .377 .986 
21 .306 .977 
20 .647 ,962 
19 .784 .939 



27 .473 .978 

26 .595 .967 

25 .717 .951 

24 ,827 .928 

23 .911 .900 

22 .963 .866 

21 .988 .829 



37 .1 53 .997 

36 .188 .994 

35 .25° .991 

34 .343 .987 

33 .44? .980 

32 .551 .971 

31 .665 .958 



,145 



15 .881 .913 

14 .963 .865 

24 .041 .999 

22 .114 .998 

21 .177 .996 

20 ,266 .992 

19 .382 .986 



.180 



IB .395 .907 

17 .963 .865 

29 .033 .999 

27 .088 .998 

?6 .135 .997 

25 .201 .995 

24 .238 ..991 



.230 



35 .040 .999 

33 .096 .998 

32 .142 .996 

31 .204 .994 

30 .282 .990 

29 .379 .985 

28 .490 .977 



.280 



30 .lh-> .941 

29 .856 ,920 

28 .922 .895 

27 .964 .867 

26 .986 .836 

41 .043 .999 

39 .099 .998 



.150 



18 .523 .976 
17 .678 .959 
16 .824 .931 
15 .931 .890 
14 .983 .838 
25 .034 .999 
23 .096 .998 



.190 



53 .398 ,985 

22 .526 .975 

21 .664 .959 

20 .795 .937 

19 .899 ,905 

13 .963 ,866 

30 .038 .999 



.'40 



27 .610 ,965 

26 .729 .948 

25 .834 .926 

24 .913 .899 

23 .963 .866 

22 .988 .831 

36 .045 .999 



38 .14-' .996 

37 .200 .994 

36 ,272 ,991 

35 .358 ,986 

34 .457 ,979 

33 .565 .969 

32 .674 .956 



155 



22 .151 .997 

21 .229 .994 

20 ,332 .989 

19 .462 .981 

18 .610 .967 

17 .761 .945 

16 .386 .911 



160 



15 


.963 


.865 


25 


.049 


.999 


24 


.081 


.998 


23 


.123 


.997 


22 


,196 


.995 


21 


,288 


.991 


20 


.406 


.985 


19 


.54"^ 


.974 


18 


.695 


.956 


17 


.333 


.928 


16 


.932 


.889 


15 


.962 


.839 


26 


.041 


.999 



.200 



28 .098 .998 
27 .149 .996 
26 .218 .994 
25 .307 .990 
24 .418 .983 
23 .545 .973 
22 .679 .957 



24 ,109 .998 



21 


.804 


.934 


20 


.902 


.904 


19 


.963 


.366 


13 


.990 


.823 


31 


.044 


.999 


29 


.109 


.998 


28 


.162 


.996 


27 


.234 


.993 


26 


.326 


.989 


25 


.437 


.981 


24 


.562 


,971 


?3 


.692 


,955 


22 


.812 


,932 


21 


.905 


,902 



.250 



34 ,105 .99^ 

33 .153 .996 

32 .217 .993 

31 ,296 ,990 

30 ,395 ,984 

29 ,506 ,975 

28 .624 .963 



27 


.739 


.947 


26 


.840 


.925 


25 


.916 


.898 


24 


.963 


.866 


23 


.987 


.832 


38 


.031 


.999 


36 


.076 


.998 


35 


.1 14 


.997 


34 


.165 


.995 


33 


.231 


.993 


32 


.314 


.939 


31 


.41 1 


.983 


30 


.522 


.97i' 


29 


.637 


.961 



.290 



31 


,776 


.940 


30 


,861 


.919 


29 


,925 


.894 


28 


.965 


.867 


27 


.986 


.838 


43 


.0 50 


.999 


41 


.07? 


.998 


40 


.106 


.997 


39 


.15? 


.996 


38 


.21 1 


.993 


37 


.28-= 


.990 


36 


.37? 


.985 


35 


.47? 


.978 



.300 



34 .57C1 .968 



33 .685 .955 

32 ,784 ,938 

.51 .866 .918 

50 ,927 .894 

29 .965 .867 

28 .966 .839 

44 .C3-^ .999 



127 



FINITE QUEUING TABLES 



POPULATION 115 



1 15 



M 



D 



.300 



42 .078 .998 

41 .114 .997 

40 .162 .995 

39 .223 .993 

38 .298 .989 

37 .386 .984 

36 .486 .977 



.340 



44 


.202 


.994 


.420 


55 


.1 16 


.997 


.480 


51 


.888 


.918 


43 


.269 


.991 




54 


.161 


.995 




50 


.950 


.903 


42 


.349 


.986 




53 


.216 


.993 




49 


.959 


.886 


41 


.440 


.980 




52 


.283 


.990 




48 


.97B 


.869 



40 .538 .972 
39 .638 .961 
38 .734 .948 



51 .360 .985 
50 .445 .980 
49 .536 .972 



47 .989 .851 

.500 68 .026 .999 

65 .086 .998 



.310 



35 .591 .967 

34 .696 .953 

33 .791 .937 

32 .870 .917 

31 .929 .893 

30 .966 .867 

29 .986 .840 



45 .037 .999 

43 .084 .998 

42 .122 .997 

41 .172 .995 

40 .235 .992 

39 .311 .988 

38 .400 .983 



37 .499 .975 

36 .603 .965 

35 .706 .952 

34 .798 .935 

33 .875 .915 

32 .930 .892 

31 .966 .867 



37 .818 .931 



48 .628 .963 



.360 



36 


.886 


.912 


35 


.936 


.891 


34 


.968 


.868 


33 


.986 


.843 


51 


.037 


.999 


49 


.082 


.998 


48 


.118 


.997 


47 


.164 


.995 


46 


.222 


.993 


45 


.292 


.989 


44 


.374 


.984 


43 


.465 


.978 


42 


.562 


.970 



41 .659 .959 
40 .751 .945 
39 .830 .929 
38 .894 .911 
37 .939 .890 
36 .969 .868 
35 .986 .845 



.440 



47 


.716 


.952 


46 


.795 


.938 


45 


.861 


.923 


44 


.913 


.906 


43 


.949 


.888 


42 


.973 


.868 


41 


.987 


.848 


61 


.028 


.999 


58 


.091 


.998 


57 


.129 


.996 


56 


.176 


.995 


55 


.234 


.992 


54 


.303 


.989 


^3 


.382 


.984 


52 


.468 


.978 


51 


.558 


.971 


50 


.648 


.961 


49 


.733 


.950 


48 


.808 


.936 


47 


.871 


.921 



,520 



64 .12? .997 

63 .167 .995 

o2 .223 .993 

61 .288 .990 

60 .364 .986 

59 .446 .980 

58 .553 .973 



57 .620 .965 

56 .704 .955 

55 .780 .944 

54 .844 .931 

53 .896 .917 

52 .955 .902 

51 .96? .885 



50 .979 .869 

49 .989 .852 

70 .029 .999 

68 .066 .998 

66 .153 .996 

65 .180 .995 

64 .2 59 .992 



,320 



30 .986 .841 

46 .040 .999 

44 .091 .998 

43 .130 .996 

42 .182 .995 

41 .246 .992 

40 .324 .988 



,380 



54 .028 .999 

51 .093 .998 

50 .132 .996 

49 .181 .994 

48 .242 .992 

47 .315 .988 

46 .398 .983 



.460 



46 .919 .905 

45 .953 .887 

44 .975 .868 

43 .987 .849 

63 .031 .999 

61 .071 .998 

60 .101 .997 



63 .307 .989 

62 .384 .984 

61 .467 .979 

60 .554 .972 

59 .640 .964 

58 .721 .954 

57 .794 .942 



39 .414 ,982 

38 .513 .974 

37 .615 .964 

36 .715 .950 

35 .805 .934 

34 .879 .914 

33 .932 .892 



45 .490 .976 
44 .585 .967 
43 .679 .956 
42 .766 .943 
41 .841 .927 
40 .900 .909 
39 .943 .889 



59 .141 .996 

58 .191 .994 

57 .252 .991 

56 .323 .988 

55 .403 .983 

54 .490 .977 

53 .579 .969 



.540 



56 .856 .929 

55 .904 .915 

54 .940 .901 

53 .965 .885 

52 .981 .869 

72 .05? .999 

70 .07? .998 



.330 



32 


.967 


.867 


31 


.986 


.842 


48 


.028 


.999 


46 


.066 


.998 


44 


.139 


.996 


43 


.192 


.994 


42 


.258 


.991 


41 


.337 


.987 


40 


.427 


.981 


39 


.525 


.973 


38 


.627 


.962 


37 


.725 


.949 


36 


.812 


.933 


35 


.883 


.913 



38 .970 .868 

37 .986 .846 

,400 56 .032 .999 

54 .073 .998 

53 .105 .997 

52 .146 .996 

51 .199 .994 



50 .262 .991 
49 .337 .987 
48 .422 .981 
47 .513 .974 
46 .607 .965 
45 .698 .954 
44 .781 .941 



.480 



52 .667 .959 

51 -749 .948 

50 .821 .935 

49 .880 .920 

48 .924 .904 

47 .956 .886 

46 .976 .869 



45 .988 .850 

65 .035 .999 

63 .078 .998 

62 .111 .997 

61 .154 .996 

60 .207 .993 

59 .270 .991 



69 .103 .997 

68 .144 .996 

67 .194 .994 

66 .255 .991 

65 .325 .988 

64 .404 .983 

63 .488 .978 



62 .bT^ .970 

61 .660 .962 

60 .7 59 .952 

59 .808 .941 

58 .866 .928 

57 .91? .914 

56 .945 .900 



.340 



34 .934 .891 

33 .967 .868 

32 .986 .842 

49 .031 .999 

47 .071 .998 

46 .104 .997 

45 .147 .996 



,420 



43 .852 .925 
42 .907 .907 
41 .946 .888 
40 .972 .868 
39 .987 .847 
58 .037 .999 
56 .082 .998 



58 


.343 


.987 


55 


.968 


.885 


57 


.425 


.982 


54 


.98? 


.869 


56 


.512 


.975 .560 74 


.055 


.999 


55 


.600 


.967 


72 


.078 


.998 


54 


.686 


.957 


71 


.11? 


.997 


53 


.765 


.946 


70 


.155 


.996 


52 


.833 


.933 


69 


.208 


.994 



128 



FINITE QUEUING TABLES 
X M D F X 



.560 



,580 



,600 



,650 



68 .271 .991 

67 .344 .987 

66 .424 .982 

65 .509 .976 

64 .595 .969 

63 .679 .960 

62 .755 .950 



61 .822 .939 

60 .877 .926 

59 .919 .913 

58 .950 .899 

57 .971 .884 

56 .984 .869 

76 .038 .999 



74 .085 .998 

73 .121 .997 

72 .166 .995 

71 .222 .993 

70 .288 .990 

69 .363 .986 

68 .445 .981 



67 .530 .975 

66 .616 .968 

65 .697 .959 

64 .771 .949 

63 .835 .937 

62 .887 .925 

61 .926 .912 



60 .954 .898 

59 .974 .884 

.986 .869 

.026 .999 

76 .092 .998 

75 .130 .997 

74 .178 .995 



58 
79 



73 .236 .993 

72 .305 .989 

71 .382 .985 

70 .465 .980 

69 .551 .974 

68 .636 .966 

67 .716 .957 



66 .787 .947 

65 .848 .936 

64 .896 .924 

63 .933 .911 

62 .959 .897 

61 .976 .883 

60 .987 .869 



84 .032 .999 

82 .075 .998 

81 .109 .997 

80 .153 .996 

79 .208 .994 

78 .274 .991 

77 .349 .988 



76 .431 .983 

75 .517 .977 

74 .604 .971 

73 .686 .963 

72 .761 .954 

71 .826 .943 

70 .879 .932 



.650 



.700 



.750 



" D F 

69 .919 .921 
68 .949 .906 
67 .970 .896 
66 .983 .883 
89 .036 .999 
87 .087 .998 
86 .127 .997 



85 .178 .995 

84 .241 .993 

83 .314 .990 

82 .396 .986 

81 .483 .981 

80 .572 .975 

79 .658 .968 



78 .737 .959 
77 .806 .950 
■76 .863 .940 
75 .908 .929 
74 .941 .918 
73 .964 .906 
72 .979 .894 



71 .989 .882 
94 .039 .999 
92 .098 .996 
91 .145 .997 
90 .204 .995 
89 .275 .992 
88 .357 .989 



87 .447 .984 
86 .539 .979 
85 .530 .972 
84 .714 .965 
83 .788 .956 
82 .850 .947 
81 .899 .937 



D 



POPULATION 115 - 120 
F X M D F 



,850 95 .766 .967 

94 .840 .959 

93 .896 .950 

92 .936 .940 

Q1 .963 .930 

90 .980 .920 

89 .990 .910 



.900 108 .055 .999 

107 .108 .998 

106 .187 .997 

105 .291 .994 

104 .413 .990 

103 .541 .985 

102 .662 .979 



101 


.767 


.972 


100 


.850 


.964 


99 


.910 


.955 


Q8 


.949 


.946 


97 


.973 


.937 


96 


.987 


.927 


950 112 


.072 


.999 


1 1 1 


.174 


.998 


110 


.323 


.995 


109 


.497 


.990 


108 


.662 


.985 


107 


.796 


.977 


106 


.889 


.969 


105 


.946 


.961 



104 .976 .952 



80 


.935 


.926 


POPULATION 


120 


79 


.960 


.915 










78 


.977 


.904 


.002 


1 


.238 


.999 


77 


.987 


.893 


.003 


1 


.356 


.998 


800 99 


.040 


.999 


.004 


1 


.474 


.996 


97 


.107 


.996 


.005 


1 


.591 


.993 


96 


.162 


.996 


.006 


2 


.137 


.999 


95 


.231 


.994 




1 


.705 


.987 


94 


.314 


.991 


.007 


2 


.243 


.999 


93 


.406 


.987 




1 


.812 


.974 


92 


.504 


.983 


.008 


2 


.305 


.998 


91 


.602 


.977 




1 


.905 


.949 


90 


.694 


.970 


.009 


2 


.370 


.997 


89 


.775 


.962 




1 


.968 


.900 


98 


.842 


.953 


.010 


3 


.137 


.999 


87 


.894 


.943 




2 


.439 


.995 


86 


.933 


.934 


.01 1 


3 


.171 


.999 


85 


.959 


.923 




2 


.510 


.992 


84 


.977 


.913 


.012 


3 


.209 


.998 


83 


.987 


.902 




2 


.583 


.989 


850 104 


.036 


.999 


.01 3 


3 


.250 


.998 


102 


.113 


.998 




2 


.657 


.984 


101 


.177 


.996 


.014 


4 


.100 


.999 


100 


.260 


.994 




3 


.295 


.997 


99 


.358 


.991 




2 


.729 


.977 


98 


.465 


.986 


.015 


4 


.123 


.999 


97 


.573 


.981 




3 


.343 


.996 


96 


.676 


.974 




2 


.799 


.966 



.016 



.017 



.018 



.019 



.020 



.021 



.022 



.023 



.024 



.025 



.026 



.028 



,030 



.03^ 



.034 



.036 



.038 



4 


.140 


.999 


3 


.393 


.995 


2 


.86? 


.951 


4 


.176 


.999 


3 


.445 


.993 


2 


.915 


.930 


4 


.206 


.998 


3 


.500 


.991 


2 


.955 


.901 


5 


.089 


.999 


4 


.2 59 


.998 


3 


.556 


.988 


2 


.979 


.867 


5 


.^o-' 


.999 


4 


.274 


.997 


3 


.613 


.984 


5 


.126 


.999 


4 


.31? 


.996 


3 


.67n 


.979 


5 


.147 


.999 


4 


.351 


.995 


3 


.726 


.972 


5 


. 171 


.998 


4 


.393 


.993 


3 


.780 


.964 


6 


.078 


.999 


5 


.196 


.998 


4 


.436 


.992 


3 


.851 


.953 


6 


.09? 


.999 


5 


.223 


.997 


4 


.481 


.990 


3 


.876 


.939 


6 


. 10-7 


.999 


5 


.25? 


.997 


4 


.528 


.987 


3 


.91 4 


.923 


6 


.14? 


.999 


5 


.315 


.995 


4 


.62? 


.980 


3 


.967 


.880 


7 


.070 


.999 


6 


.183 


.998 


5 


.385 


.993 


4 


.716 


.970 


7 


.104 


.999 


6 


.25^ 


.997 


5 


.46 1 


.990 



4 .805 .955 



7 


.1 54 


.999 


6 


.284 


.996 


5 


.54 1 


.985 


4 


.880 


.933 


8 


.077 


.999 


7 


.170 


.998 


6 


.343 


.994 


5 


.624 


.978 


4 


.9 37 


.903 


8 


.099 


.999 


7 


.21 1 


.997 


6 


.407 


.991 


5 


.705 


.969 


4 


.97? 


.868 



129 



FINITF QUEUING TABLES 

X M D F X 
.040 



,042 



POPULATION 120 



120 



,044 



,046 



,048 



,050 



,052 



,054 



,056 



,058 



,060 



.062 



9 


.057 


.999 


.062 


1 1 


.147 


.998 .095 16 


.1 18 


.998 


130 20 


.167 


.996 


7 


.256 


.996 




10 


.262 


.995 


15 


.197 


.996 


19 


.254 


.993 


6 


.476 


.988 




9 


.438 


.987 


14 


.312 


.992 


18 


.370 


.988 


5 


.783 


.956 




8 


.672 


.968 


13 


.467 


.983 


17 


.514 


.978 


4 


.990 


.830 




7 


.901 


.915 


12 


.655 


.966 


16 


.676 


.961 


9 


.074 


.999 


.064 


13 


.047 


.999 


1 1 


.841 


.931 


15 


.628 


.932 


8 


.157 


.998 




n 


.174 


.997 


10 


.962 


.871 


14 


.938 


.888 


7 


.307 


.994 




10 


.303 


.993 


00 18 


.057 


.999 


13 


.987 


.832 


6 


.548 


.983 




9 


.492 


.984 


17 


.100 


.998 


35 23 


.05U 


.999 


5 


.852 


.939 




8 


.731 


.959 


16 


.168 


.997 


22 


.089 


.998 


9 


.094 


.999 




7 


.936 


.896 


15 


.267 


.993 


21 


. 143 


.997 


8 


.192 


.997 


.066 


13 


.058 


.999 


14 


.405 


.987 


20 


.220 


.994 


7 


.362 


.992 




12 


.113 


.998 


13 


.578 


.974 


19 


.324 


.990 


6 


.621 


.977 




1 1 


.204 


.996 


12 


.766 


.949 


18 


.456 


.982 


5 


.908 


.917 




10 


.347 


.991 


1 1 


.918 


.902 


17 


.609 


.969 


10 


.055 


.999 




9 


.548 


.980 


10 


.987 


.831 


16 


.766 


.946 


8 


.232 


.996 




8 


.786 


.949 


05 19 


.048 


.999 


15 


.895 


.910 


7 


.422 


.990 




7 


.961 


.875 


17 


.143 


.997 


14 


.970 


.860 


6 


.694 


.968 


.068 


13 


.071 


.999 


16 


.229 


.995 


40 24 


.04S 


.999 


5 


.949 


.891 




12 


.134 


.998 


15 


.350 


.990 


22 


.12^ 


.998 


10 


.070 


.999 




1 1 


.237 


.995 


14 


.503 


.980 


21 


.190 


.995 


9 


.145 


.998 




10 


.393 


.989 


13 


.689 


.961 


20 


.28? 


.992 


8 


.276 


.995 




9 


.605 


.974 


12 


.859 


.925 


19 


.40? 


.986 


7 


.4B5 


.986 




8 


.836 


.937 


1 1 


.964 


.867 


18 


.54^ 


.975 


6 


.764' 


.957 




7 


.978 


.853 


10 ?0 


.040 


.999 


17 


.701 


.957 


5 


.975 


.861 


.070 


13 


.036 


.999 


18 


.121 


.998 


16 


.843 


.927 


10 


.088 


.999 




12 


.158 


.997 


17 


.196 


.996 


15 


.94? 


.885 


9 


.176 


.997 




n 


.273 


.994 


16 


.303 


.992 


14 


.98-7 


.832 


8 


.324 


.993 




10 


.442 


.987 


15 


.444 


.984 


45 25 


.03Pt 


.999 


7 


.550 


.982 




9 


.661 


.968 


14 


.614 


.970 


23 


.105 


.998 


6 


.827 


.943 




8 


.880 


.923 


13 


.790 


.943 


22 


.164 


.996 


5 


.989 


.831 




7 


.988 


.831 


12 


.926 


.897 


21 


.246 


.993 


1 1 


.053 


.999 


.075 


14 


.073 


.999 


1 1 


.987 


.832 


20 


.354 


.988 


9 


.210 


.997 




13 


.133 


.998 


15 20 


.Obi 


.999 


19 


.487 


.980 


8 


.376 


.991 




12 


.230 


.995 


19 


.103 


.998 


18 


.657 


.965 


7 


.617 


.976 




1 1 


.376 


.990 


18 


.168 


.996 


17 


.786 


.941 


6 


.882 


.926 




10 


.572 


.977 


17 


.261 


.993 


16 


.904 


.906 


1 1 


.066 


.999 




9 


.793 


.946 


16 


.387 


.987 


15 


.971 


.859 


10 


.133 


.998 




8 


.955 


.879 


15 


.544 


.976 


50 25 


.055 


.999 


9 


.249 


.995 


.OflO 


15 


.061 


.999 


14 


.718 


.956 


24 


.090 


.998 


8 


.431 


.988 




14 


.112 


.998 


13 


.873 


.920 


23 


.141 


.997 


7 


.683 


.968 




13 


.195 


.996 


12 


.9t)6 


.865 


22 


.214 


.994 


6 


.925 


.905 




12 


.319 


.992 .120 21 


.051 


.999 


21 


.31 1 


.99n 


1 1 


.082 


.999 




1 1 


.492 


.983 


20 


.088 


.998 


20 


.45"^ 


.983 


10 


.160 


.998 




10 


.703 


.961 


19 


.144 


.997 


19 


.575 


.972 


9 


.291 


.994 




9 


.896 


.914 


18 


.225 


.995 


18 


.724 


.952 


8 


.490 


.985 




8 


.938 


.831 


17 


.337 


.990 


17 


.857 


.923 


7 


.746 


.958 


.085 


16 


.051 


.999 


16 


.480 


.981 


16 


.946 


.882 


6 


.956 


.882 




14 


.165 


.997 


15 


.647 


.96 5 


15 


.987 


.832 


12 


.050 


.999 




13 


.272 


.994 


14 


.81 1 


.937 .155 26 


.047 


.999 


10 


.191 


.997 




12 


.423 


.987 


13 


.932 


.892 


^4 


.12? 


.997 


9 


.337 


.992 




1 1 


.617 


.971 


12 


.987 


.832 


23 


.186 


.995 


8 


.550 


.980 




10 


.820 


.938 .125 22 


.043 


.999 


22 


.27? 


.992 


7 


.805 


.947 




9 


.959 


.875 


20 


.123 


.998 


21 


.38-^ 


.986 


6 


.976 


.857 


.090 


17 


.043 


.999 


19 


.194 


.996 


20 


.517 


.977 


12 


.062 


.999 




15 


.139 


.996 


18 


.293 


.99? 


19 


.663 


.961 


1 1 


.122 


.998 




14 


.?31 


.995 


17 


.422 


.985 


18 


.80^ 


.937 


10 


.225 


.996 




13 


.363 


.990 


16 


.578 


.972 


17 


.91 1 


.902 


9 


.386 


.990 




12 


.538 


.976 


15 


.744 


.951 


16 


.975 


.857 


8 


.61 1 


.975 




1 1 


.737 


.955 


1 4 


.885 


.914 .160 27 


.040 


.999 


7 


.858 


.932 




10 


.908 


.908 


13 


.968 


.862 


25 


.105 


.993 


6 


.988 


.831 




9 


.987 


.831 .130 23 


.037 


.999 


24 


.161 


.996 


12 


.077 


.999 


.095 


17 


.067 


.999 


21 


.105 


.998 


23 


.23=! 


.993 



130 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 120 - 120 
F X M D F 



.160 22 .338 .989 
21 .462 .981 
20 .602 .968 
19 .745 .948 
18 .868 .919 
17 .949 .879 
16 .987 .832 



165 



170 



28 .034 .999 

26 .090 .998 

25 .139 .997 

24 .207 .995 

23 .298 .991 

22 .411 .984 

21 .544 .974 



20 .686 .958 
19 .818 .933 
18 .918 .899 
17 .974 .856 
28 .047 .999 
26 .120 .997 
25 .180 .995 



.200 21 .960 .871 
20 .988 .832 

.210 34 .034 .999 
32 .085 .998 
31 .128 .997 
30 .186 .995 
29 .261 .992 



28 .355 .987 
27 .466 .980 
26 .588 .969 
25 .711 .953 
24 .822 .931 
23 .^08 .903 
22 .962 .869 



.220 



21 .988 .832 
35 .040 .999 
33 .096 .998 
32 .142 .996 
31 .203 .994 
30 .282 .991 
29 .378 .985 



.250 



.260 



.270 



30 


.666 


.959 .290 30 


.974 


.860 


29 


.773 


.941 


29 


.990 


.833 


28 


.863 


.920 .: 


500 46 


.029 


.999 


27 


.929 


.894 


44 


.068 


.998 


26 


.969 


.864 


42 


. 14^ 


.996 


25 


.989 


.833 


a1 


.197 


.994 


40 


.044 


.999 


40 


.265 


.991 


38 


.100 


.998 


39 


.346 


.987 


37 


.144 


.996 


38 


.450 


.981 


36 


.202 


.994 


37 


.54" 


.972 


35 


.275 


.991 


36 


.644 


.961 


34 


.362 


.986 


35 


.74^ 


.947 


33 


.463 


.979 


34 


.830 


.929 


32 


.573 


.969 


33 


.698 


.909 


31 


.683 


.956 


32 


.946 


.885 


30 


.786 


.939 


31 


.975 


.860 


29 


.871 


.917 .310 47 


.053 


.999 


28 


.933 


.892 


45 


.075 


.998 


27 


.970 


.863 


44 


.109 


.997 


26 


.989 


.833 


43 


.154 


.996 


42 


.032 


.999 


42 


.21 1 


.993 



24 ,262 .992 

23 .365 .987 

22 .490 .979 

21 .628 .965 

20 .764 .945 

19 .878 .915 

18 .953 .877 



28 .489 .978 
27 .609 .966 
26 .728 .950 
?5 .834 .926 
?4 .914 .900 
23 .964 .866 
22 .988 .832 



40 .075 .998 
39 .110 .997 
38 .157 .996 
37 .217 .993 
36 .293 .990 
35 .382 .985 
34 .483 .977 



41 .281 .990 

40 .364 .986 

39 .45<? .979 

38 .558 .971 

37 .66O .959 

36 .756 .945 

35 .859 .927 



. 180 



17 .987 .832 

30 .034 .999 

28 .089 .998 

27 .136 .997 

26 .200 .995 

25 .285 .991 

24 .392 .985 



.230 



36 .046 .999 
34 .107 .998 
33 .157 .996 
32 .221 .993 
31 .302 .990 
30 .400 .984 
29 .511 .976 



33 .592 .967 

32 .699 .954 

31 .798 .936 

30 .879 .915 

29 .936 .890 

28 .972 .862 

27 .989 .833 



34 .904 .907 

33 .949 .884 

32 .976 .859 

.320 48 .057 .999 

46 .OS'' .998 

45 .119 .997 

44 .166 .995 



.190 



23 .516 .976 

22 .651 .962 

21 .781 .941 

20 .887 .912 

19 .955 .875 

.987 .832 

.041 .999 



18 
31 



.240 



28 .629 .964 

27 .744 .947 

26 .844 .925 

25 .919 .898 

?4 .966 .867 

23 .988 .832 

38 .033 .999 



.580 43 .036 .999 

41 .0d3 .996 

40 .120 .997 

39 .170 .995 

38 .233 .993 

37 .311 .989 

36 .401 .983 



43 .225 .993 

42 .297 .989 

41 .382 .984 

40 .476 .978 

39 .575 .969 

38 .67=; .957 

37 .7bB .943 



29 .101 .998 

28 .152 .996 

27 .221 .994 

26 .309 .990 

25 .417 .983 

24 .S'41 .974 

23 .672 .959 



36 .080 .998 
35 .119 .997 
34 .171 .995 
33 .239 .993 
32 .322 .988 
31 .421 .982 
30 .532 .973 



35 .503 .976 

34 .610 .965 

33 .715 .951 

32 .809 .934 

31 .836 .913 

30 .940 .888 

29 .973 .861 



.330 



36 .84P .925 

35 .910 .905 

34 .95? .882 

33 .977 .858 

49 .C4 1 .999 

47 .091 .998 

46 .129 .997 



.200 



22 .796 .937 

21 .895 .909 

20 .958 .873 

19 .988 .832 

32 .048 .999 

30 .114 .997 

29 .169 .996 



28 .241 .993 
27 .332 .988 
26 .442 .982 
25 .565 .971 
24 .692 .956 
23 .810 .934 
22 .902 .906 



.250 



29 .648 .961 

28 .759 .944 

27 .854 .922 

26 .924 .896 

25 .967 .865 

24 .9,39 .833 

39 .038 .999 



37 .090 .998 
36 .131 .997 
35 .186 .995 
34 .257 .992 
33 .343 .987 
32 .443 .981 
31 .553 .971 



.290 



28 


.990 


.833 


45 


.17^ 


.995 


44 


.040 


.999 


44 


.240 


.992 


42 


.091 


.998 


43 


.314 


.988 


41 


.131 


.997 


42 


.399 


.983 


40 


.184 


.995 


41 


.493 


.976 


39 


.249 


.992 


40 


.592 


.967 


38 


.328 


.988 


39 


.690 


.955 


37 


.420 


.982 


38 


.780 


.941 


36 


.522 


.974 


37 


.856 


.923 


35 


.627 


.963 


36 


.915 


.903 


34 


.729 


.949 


35 


.954 


.881 


33 


.820 


.932 


34 


.979 


.857 


32 


.892 


.911 .340 51 


.050 


.99^5 


31 


.943 


.887 


49 


.C6P 


.998 



131 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 120 - 120 



.340 47 .139 .996 

46 .190 .994 

45 .254 .991 

44 .330 .988 

43 .416 .982 

42 .511 .975 

41 .609 .965 



.420 58 .090 .998 
57 .126 .997 
56 .172 .995 
55 .229 .993 
54 .296 .989 
53 .373 .985 
52 .457 .979 



.480 



.500 70 .035 .999 



55 


.790 


.943 


.560 73 


.151 


.996 


54 


.852 


.930 


72 


.20? 


.994 


53 


.902 


.915 


71 


.26'^ 


.991 


52 


.939 


.900 


70 


.353 


.988 


51 


.965 


.884 


69 


.41 1 


.983 


50 


.981 


.867 


68 


.494 


.978 



67 .578 .971 



,360 



40 .704 .953 

39 .791 .939 

38 .864 .921 

37 .919 .901 

36 .957 .880 

35 .980 .857 

53 .037 .999 



51 .081 .998 

50 .115 .997 

49 .160 .995 

48 .216 .993 

47 .283 .990 

46 .362 .986 

45 .450 .980 



44 .544 .972 

43 .640 .962 

42 .731 .950 

41 '.812 .935 

40 .878 .917 

39 .928 .898 

38 .961 .877 



.440 



51 


.547 


.972 


68 


.077 


.998 


66 


.660 


.963 


50 


.636 


.963 


67 


.108 


.997 


65 


.757 


.954 


49 


.722 


.952 


66 


.149 


.996 


64 


.805 


.943 


48 


.799 


.939 


65 


.200 


.994 


63 


.86? 


.932 


47 


.863 


.924 


64 


.260 


.991 


b2 


.907 


.919 


"6 


.913 


.908 


63 


.330 


.988 


61 


.94 1 


.906 


45 


.949 


.890 


62 


.408 


.983 


60 


.964 


.892 


44 


.972 


.872 


61 


.491 


.977 


59 


.980 


.877 


43 


.986 


.853 


60 


.577 


.970 


58 


.989 


.863 


63 


.033 


.999 


59 


.661 


.962 .580 79 


.040 


.999 


61 


.073 


.998 


58 


.740 


.951 


77 


.087 


.998 


60 


.103 


.997 


57 


.810 


.940 


76 


.12? 


.997 


59 


.143 


.996 


56 


.863 


.927 


75 


.167 


.995 


58 


.193 


.994 


55 


.913 


.913 


74 


.22? 


.993 


57 


.253 


.991 


54 


.946 


.898 


73 


.286 


.990 


56 


.323 


.986 


53 


.969 


.882 


72 


.359 


.987 


55 


.402 


.983 


52 


.983 


.866 


71 


.459 


.982 


54 


.488 


.977 .520 73 


.027 


.999 


70 


.52? 


.976 


53 


.577 


.969 


70 


.087 


.998 


69 


.606 


.969 


52 


.664 


.960 


69 


.122 


.997 


68 


.687 


.961 


51 


.746 


.949 


68 


.166 


.995 


67 


.761 


.951 



,380 



37 .981 .856 

56 .029 .999 

53 .095 .998 

52 .133 .996 

51 .182 .995 

50 .242 .992 

49 .313 .988 



.460 



50 .818 .936 
49 .377 .921 
48 .923 .905 
47 .955 .888 
46 .975 .870 
45 .988 .852 
65 .039 .999 



67 .220 .993 

66 .284 .990 

65 .356 .986 

64 .436 .981 

63 .521 .975 

62 .606 .968 

61 .688 .959 



.600 



66 .825 .941 

65 .878 .929 

64 .91 o .917 

63 .949 .903 

62 .969 .890 

61 .98"^ .876 

82 .029 .999 



48 .394 .984 

47 .483 .977 

46 .576 .969 

45 .669 .959 

44 .755 .946 

43 .831 .931 

42 .891 .914 



63 .084 .998 
62 .118 .997 
61 .161 .995 
60 .214 .993 
59 .278 .990 
58 .351 .986 
57 .432 .981 



60 .763 .949 

59 .828 .937 

58 .882 .924 

57 .923 .910 

56 .953 .896 

55 .973 .880 

54 .985 .865 



79 .097 .998 

78 .155 .996 

77 .184 .995 

76 .24? .992 

75 .310 .989 

74 .386 .985 

73 .467 .980 



.400 



41 


.936 


.895 


40 


.965 


.875 


39 


.983 


.854 


58 


.035 


.999 


56 


.077 


.998 


55 


.1 10 


.997 


54 


.152 


.996 


53 


.205 


.994 


52 


.268 


.991 


51 


.343 


.987 


50 


.426 


.981 


49 


.515 


.975 


48 


.607 


.966 


47 


.696 


.955 


46 


.778 


.942 


45 


.848 


.928 


44 


.903 


.91 1 


43 


.943 


.893 


4? 


.969 


.873 


41 


.985 


.853 



.480 



.420 61 .028 .999 



56 .518 .975 

55 .606 .967 

54 .691 .957 

53 .769 .946 

52 .836 .933 

51 .890 .918 

50 .931 .903 



49 .960 .886 
48 .978 .869 
47 .989 .851 
68 .030 .999 
66 .067 .998 
64 .133 .996 
63 .180 .995 



62 .237 .992 
61 .304 .989 
60 .379 .985 
59 .462 .979 
58 .548 .972 
57 .634 .964 
56 .716 .954 



,540 75 .031 



.999 



,560 



73 .069 .998 

71 .136 .996 

70 .184 .995 

69 .241 .992 

68 .308 .989 

67 .3b4 .985 



66 .465 .980 

65 .549 .973 

64 .633 .966 

63 .713 .956 

62 .785 .946 

61 .846 .934 

60 .895 .921 



,650 



72 .551 .974 

71 .654 .967 

70 .71^ .959 

69 .78"^ .949 

b8 .849 .938 

67 .£97 .927 

66 .929 .914 



65 .956 .901 

64 .974 .888 

63 .985 .875 

87 .059 .999 

85 .088 .998 

84 .12"^ .997 

83 .17? .995 



59 


.932 


.90P 


82 


.220 


.993 


58 


.959 


.894 


81 


.297 


.990 


57 


.977 


.879 


bO 


.373 


.987 


56 


.9B7 


.864 


79 


.455 


.982 


77 


.035 


.999 


78 


.559 


.976 


75 


.077 


.998 


77 


.ez^ 


.970 


74 


.1 10 


.997 


76 


.703 


.962 



132 



FINITE QUEUING TABLES 



X M 


D 


F 


X 


M 


D 


F 


X 


650 75 


.774 


.953 


.850 


102 


.492 


.985 


.015 


74 


.836 


.943 




101 


.598 


.980 




73 


.885 


.932 




100 


.696 


.974 


.016 


72 


.924 


.921 




99 


.781 


.966 




71 


.952 


.909 




98 


.851 


.958 




70 


.971 


.897 




97 


.903 


.949 


.017 


69 


.983 


.884 




96 


.941 


.940 




700 93 


.031 


.999 




95 


.966 


.931 




91 


.076 


.998 




94 


.981 


.921 


.01 8 


90 


.111 


.997 


.900 


1 13 


.041 


.999 




89 


.157 


.996 




1 1 1 


.150 


.998 




88 


.214 


.994 




no 


.241 


.995 




87 


.281 


.992 




109 


.354 


.992 


.019 


86 


.358 


.988 




108 


.477 


.988 




85 


.441 


.984 




107 


.601 


.983 




84 


.528 


.978 




106 


.714 


.977 


.020 


83 


.614 


.972 




105 


.807 


.969 




82 


.695 


.965 




104 


.878 


.961 




81 


.769 


.956 




103 


.928 


.953 


.021 


80 


.831 


.947 




102 


.960 


.944 




79 


.882 


.937 




101 


.979 


.935 




78 


.922 


.926 




100 


.990 


.926 


.022 


77 


.950 


.915 


.950 


1 17 


.060 


.999 




76 


.970 


.904 




1 16 


.150 


.998 




75 


.983 


.892 




1 15 


.287 


.996 


.023 


750 98 


.038 


.999 




1 14 


.454 


.992 




96 


.094 


.998 




1 13 


.621 


.987 




95 


.137 


.997 




112 


.762 


.980 




94 


.193 


.995 




1 1 1 


.865 


.973 


.024 


93 


.262 


.993 




1 10 


.931 


.964 




92 


.340 


.990 




109 


.968 


.956 




91 


.426 


.986 




108 


.986 


.947 




90 


.517 


.981 










.025 


89 


.606 


.975 












88 


.691 


.968 












87 


.767 


.960 


POPULATION 


125 




86 


.831 


.951 










.026 


85 


.883 


.942 


.002 


1 


.248 


.999 




84 


.923 


.932 


.003 


1 


.371 


.998 




83 


.951 


.921 


.004 


1 


.494 


.996 




82 


.971 


.91 1 


.005 


2 


.146 


.999 


.028 


81 


.983 


.900 




1 


.615 


.992 




800 103 


.043 


.999 


.006 


2 


.201 


.999 




101 


.1 13 


.998 




1 


.733 


.985 




100 


.168 


.996 


.007 


2 


.261 


.998 




99 


.236 


.994 




1 


.842 


.969 


.030 


98 


.318 


.991 


.008 


2 


.326 


.997 




97 


.409 


.988 




1 


.932 


.937 




96 


.505 


.983 


.009 


3 


.117 


.999 




95 


.601 


.977 




2 


.396 


.996 


.032 


94 


.690 


.971 




1 


.983 


.876 




93 


.770 


.963 


.010 


3 


.151 


.999 




92 


.837 


.955 




2 


.469 


.994 




91 


.890 


.946 


.01 1 


3 


.188 


.999 


.034 


90 


.929 


.936 




2 


.544 


.991 




89 


.956 


.926 


.012 


3 


.229 


.998 




88 


.975 


.916 




2 


.621 


.987 




87 


.986 


.906 


.01 3 


3 


.274 


.998 




850 108 


.046 


.999 




2 


.697 


.981 


.036 


106 


.133 


.998 


.014 


4 


.113 


.999 




105 


.202 


.996 




3 


.323 


.997 




104 


.288 


.993 




2 


.772 


.972 




103 


.387 


.990 


.015 


4 


.138 


.999 





M 



D 



POPULATION 120 - 125 

F X M D F 



3 .374 .995 

2 .841 .959 

4 .166 .999 

3 .428 .994 

2 .901 .939 

4 .197 .998 

3 .485 .992 



2 .946 .911 
5 .085 .999 

4 .231 .998 

3 .543 .989 
2 .976 .877 

5 .103 .999 

4 .267 .997 



3 .602 .985 
5 .123 .999 

4 .306 .996 

3 .662 .980 

5 .145 .999 

4 .347 .995 
3 .721 .974 



5 .169 .998 

4 .390 .994 

3 .778 .966 

6 .078 .999 

5 .195 .998 

4 .435 .992 
3 .831 .955 



6 .092 .999 

5 .223 .997 

4 .482 .990 

3 .878 .940 

6 .108 .999 

5 .254 .997 

4 .531 .988 



3 .918 .923 

6 .126 .999 

5 .286 .996 

4 .580 .984 
3 .949 .902 

7 .069 .999 

6 .166 .998 



5 .356 .994 

4 .679 .976 

3 .985 .852 
7 .094 .999 

6 .213 .997 

5 .433 .991 

4 .775 .962 



7 .124 .999 

6 .266 .996 

5 .516 .987 
4 .860 .942 

8 .071 .999 

7 .160 .998 

6 .326 .994 



5 .601 .981 

4 .925 .914 
8 .094 .999 
7 .201 .997 

6 .392 .992 

5 .687 .972 
4 .967 .878 



.038 



.040 



.042 



.044 



.046 



.048 



.050 



.052 



.054 



,056 



.059 



8 


.121 


.999 


7 


.247 


.996 


6 


.463 


.989 


5 


.770 


.960 


4 


.988 


.839 


9 


.071 


.999 


8 


.152 


.998 


7 


.299 


.995 


6 


.5 57 


.984 


5 


.844 


.943 


9 


.09? 


.999 


8 


.188 


.997 


7 


.356 


.993 


6 


.614 


.978 



.060 



5 .905 .921 
9 .116 .999 
8 .229 .996 
7 .418 .990 

6 .690 .970 
5 .94Q .894 

10 .070 .999 



9 .144 .998 

8 .275 .995 
7 .484 .987 
6 .764 .959 
5 .976 .863 

10 .089 .999 

9 .176 .997 



8 .325 .993 

7 .55? .982 

6 .850 .944 
11 .054 .999 

9 .213 .99'' 

8 .380 .991 

7 .62? .976 



6 .88'' .926 
11 .068 .999 
10 .136 .998 

9 .253 .995 

8 .458 .983 

7 .691 .968 
6 .951 .904 



11 .085 .999 
10 .165 .998 

9 .298 .994 

8 .499 .985 

7 .757 .958 

6 .961 .879 

12 .05? .999 



10 .197 .997 
9 .346 .992 
8 .562 .980 
7 .818 .945 
6 .981 .853 

12 .066 .999 

11 .128 .998 



10 .254 .996 
9 .398 .990 
8 .626 .974 
7 .871 .930 

12 .081 .999 

11 .154 .998 
10 .273 .995 



133 



FINITE QUEUING TABLES 



POPULATION 125 - 125 



.060 



.062 



9 


.453 


.987 


.090 


12 


.629 


.970 


.125 


14 


.942 


.888 


.160 


28 


.059 


.999 


8 


.690 


.967 




1 1 


.821 


.939 




13 


.989 


.831 




26 


.101 


.998 


7 


.914 


.91 1 




10 


.954 


.881 


.130 


23 


.056 


.999 




25 


.154 


.997 


13 


.051 


.999 


.095 


13 


.053 


.999 




22 


.093 


.998 




24 


.227 


.994 


1 1 


.183 


.997 




16 


.158 


.997 




21 


. 1 4o 


.997 




23 


.323 


.990 



10 .317 .993 
9 .510 .983 



15 .253 .994 
14 .387 .988 



20 .227 .994 
19 .333 .990 



22 .441 .983 
21 .576 .972 



,064 



.066 



.068 



.070 



,075 



.080 



.085 



.090 



8 


.750 


.957 


13 


.558 


.977 


18 


.466 


.982 


7 


.947 


.891 


12 


.748 


.953 


17 


.621 


.968 


1 3 


.063 


.999 


1 1 


.908 


.909 


16 


.777 


.945 


12 


.120 


.998 


10 


.985 


.840 


15 


.903 


.908 


1 1 


.216 


.996 


100 19 


.045 


.999 


14 


.974 


.858 


10 


.363 


.991 


17 


.136 


.998 


135 24 


.048 


.999 


9 


.569 


.979 


16 


.220 


.995 


22 


.129 


.997 


8 


.807 


.946 


15 


.338 


.991 


21 


.199 


.995 


7 


.969 


.868 


14 


.493 


.982 


20 


.293 


.992 


13 


.077 


.999 


13 


.675 


.964 


19 


.415 


.985 


12 


.144 


.998 


12 


.349 


.930 


18 


.561 


.974 


1 1 


.252 


.995 


1 1 


.961 


.874 


17 


.717 


.955 


10 


.413 


.989 


105 20 


.039 


.999 


16 


.856 


.925 


9 


.629 


.973 


18 


.117 


.998 


15 


.949 


.882 


8 


.857 


.932 


17 


.190 


.996 


14 


.990 


.828 


7 


.984 


.845 


16 


.295 


.992 


140 25 


.042 


.999 


1 4 


.049 


.999 


15 


.434 


.985 


23 


.112 


.998 


12 


.170 


.997 


14 


.604 


.972 


22 


.174 


.996 


1 1 


.291 


.994 


13 


.782 


.946 


21 


.259 


.993 


10 


.465 


.986 


12 


.922 


.901 


20 


.369 


.988 


9 


.687 


.966 


1 1 


.987 


.836 


19 


.505 


.979 


8 


.899 


.917 .110 20 


.060 


.999 


18 


.656 


.964 


14 


.060 


.999 


19 


.101 


.998 


17 


.803 


.939 


13 


.1 13 


.998 


18 


.165 


.997 


16 


.916 


.902 


12 


.199 


.996 


17 


.257 


.994 


15 


.976 


.854 


1 1 


.333 


.992 


16 


.382 


.988 


145 26 


.036 


.999 


10 


.519 


.982 


15 


.539 


.977 


24 


.097 


.998 


9 


.744 


.957 


14 


.714 


.957 


23 


.152 


.997 


8 


.932 


.899 


13 


.871 


.922 


22 


.228 


.994 


15 


.052 


.999 


12 


.966 


.866 


21 


.328 


.990 


13 


.171 


.997 .115 21 


.051 


.999 


20 


.453 


.982 


12 


.286 


.994 


19 


.143 


.997 


19 


.598 


.970 


1 1 


.450 


.986 


18 


.224 


.995 


18 


.746 


.950 


10 


.657 


.969 


17 


.336 


.990 


17 


.873 


.919 


9 


.865 


.928 


16 


.479 


.982 


16 


.955 


.877 


8 


.981 


.850 


15 


.646 


.966 .150 26 


.052 


.999 


16 


.044 


.999 


14 


.31 1 


.939 


25 


.OdS 


.998 


14 


.147 


.998 


13 


.933 


.394 


24 


.133 


.997 


13 


.246 


.995 


12 


.938 


.833 


23 


.200 


.995 


12 


.389 


.989 .120 '>2 


.044 


.999 


22 


.291 


.991 


1 1 


.578 


.976 


20 


.124 


.998 


21 


.40b 


.985 


10 


.787 


.948 


19 


.196 


.996 


20 


.542 


.975 


9 


.945 


.889 


18 


.295 


.992 


19 


.668 


.959 


16 


.071 


.999 


17 


.425 


.985 


18 


.825 


.933 


15 


.126 


.998 


16 


.582 


.973 


17 


.926 


.897 


14 


.212 


.996 


15 


.748 


.951 


16 


.979 


.851 


13 


.337 


.991 


14 


.889 


.915 .155 27 


.045 


.999 


12 


.506 


.982 


13 


.970 


.863 


25 


.116 


.99P 


1 1 


.707 


.961 .125 23 


.038 


.999 


24 


.176 


.996 


10 


.890 


.918 


21 


.108 


.998 


23 


.257 


.993 


9 


.983 


.844 


20 


.170 


.996 


22 


.362 


.968 


17 


.061 


.999 


19 


.259 


.993 


21 


.489 


.979 


16 


.108 


.998 


18 


.376 


.988 


20 


.631 


.966 


15 


.183 


.996 


17 


.522 


.978 


19 


.772 


.945 


1 4 


.292 


.993 


16 


.683 


.961 


18 


.888 


.914 


13 


.443 


.985 


15 


.336 


.932 


17 


.960 


.873 



.165 



.170 



1 180 



.190 



.200 



20 .717 .954 

19 .64a .928 

18 .954 .892 

17 .981 .848 

29 .053 .999 

27 .088 .998 

26 .1 55 .997 



25 .200 .995 

24 .287 .991 

23 .396 .986 

22 .524 .976 

21 .665 .962 

20 .795 .940 

19 .900 .908 



18 .96'i .869 

29 .047 .999 

27 .118 .998 

26 .176 .996 

25 .255 .993 

24 .354 .988 

23 .474 .980 



22 .f09 .968 

21 .74U .949 

20 .860 .923 

19 .941 .887 

18 .96? .845 

31 .05"^ .999 

29 .090 .998 



28 .1 56 .997 

27 .19Q .995 

26 .28? .991 

25 .386 .986 

24 .507 .977 

23 .6 59 .964 

2^. .767 .945 



21 .875 .913 

20 .947 .883 

19 .98" .843 

32 .04-^ .999 

30 .lOU .998 

29 .15"^ .996 

28 .22^^ .994 



27 .310 .990 

26 .416 .984 

25 .55« .974 

24 .6b7 .960 

23 .761^ .940 

22 .88=^ .913 

21 .95"' .879 



20 .965 .841 

34 .05^ .999 

32 .080 .998 

.120 .997 

.17"=^ .996 

29 .247 .993 

28 .358 .988 



31 
30 



134 



FINITt QUEUING TABLES 
X M D F X 



POPULATION 125 - 125 
f X M D F 



,200 27 .446 .982 

26 .568 .971 

25 .692 .957 

24 .808 .936 

23 .899 .909 

22 .957 .876 

21 .986 .839 



.210 



35 .038 .999 
33 .092 .998 
32 .136 .997 
31 .196 .995 
30 .272 .992 
29 .366 .987 
28 .476 .979 



.250 37 .150 .996 

36 .209 .994 

35 .233 .991 

34 .372 .986 

33 .473 .979 

32 .583 .969 

31 .693 .956 



30 .7Q5 .936 
29 .878 .916 
23 .938 .391 
27 .973 .862 
.260 42 .035 .999 
40 .080 .996 
39 .117 .997 



.590 



."^00 



35 


.770 


.943 


34 


.352 


.925 


33 


.914 


.904 


32 


.957 


.880 


31 


.981 


.854 


47 


.040 


.999 


45 


.038 


.998 


44 


.1 26 


.997 


4 3 


.174 


.995 


42 


.236 


.993 


41 


.310 


.939 


40 


.396 


.984 


39 


.492 


.977 



.330 



.340 



38 .893 .913 

37 .9JC) ,893 

36 .969 .871 

35 .986 .848 

53 .C29 .999 

50 .09"^ .998 

49 .151 .997 



48 .18'^ .995 

47 .24^1 .992 

46 .31 1 .989 

45 .394 .984 

48==. .977 

58^ .969 



38 .593 .96° 



44 
43 
42 .67"^ .958 



.220 



.230 



.240 



.250 



27 


.596 


.968 


"^8 


.166 


.996 


37 


.694 


.956 


41 


.76'! 


.945 


26 


.716 


.953 


37 


.228 


.993 


36 


.786 


.940 


40 


.84 


.929 


25 


.825 


.932 


36 


.305 


.989 


35 


.863 


.922 


39 


.901 


.91 1 


24 


.908 


.905 


35 


.396 


.984 


34 


.921 


.901 


38 


.944 


.391 


23 


.961 


.873 


34 


.499 


.977 


33 


.960 


.877 


37 


.97? 


.369 


22 


.987 


.837 


33 


.607 


.966 


32 


.982 


.852 


36 


.98-7 


.846 


36 


.045 


.999 


32 


.714 


.953 .310 49 


.030 


.999 .360 55 


.05-7 


.999 


34 


.105 


.998 


31 


.81 1 


.935 


46 


.093 


.998 


53 


.08n 


.998 


33 


.154 


.996 


30 


.389 


.913 


45 


.138 


.996 


52 


.113 


.997 


32 


.217 


.994 


29 


.943 


.888 


44 


.190 


.994 


51 


.156 


.996 


31 


.297 


.990 


28 


.975 


.860 


4 3 


.254 


.992 


50 


.210 


.994 


30 


.393 


.985 .270 43 


.040 


.999 


42 


.331 


.988 


49 


.275 


.991 


29 


.504 


.977 


41 


.091 


.998 


41 


.419 


.982 


48 


.351 


.987 


28 


.622 


.965 


40 


.131 


.997 


40 


.515 


.975 


47 


.456 


.931 


27 


.738 


.949 


39 


.183 


.995 


39 


.615 


.965 


46 


.52-' 


.974 


26 


.840 


.928 


38 


.248 


.992 


38 


.713 


.953 


45 


.621 


.965 


25 


.917 


.901 


37 


.323 


.988 


37 


.801 


.937 


44 


.71? 


.953 


24 


.965 


.870 


^6 


.421 


.982 


36 


.374 


.919 


43 


.794 


.940 


23 


.988 


.835 


35 


.523 


.974 


35 


.923 


.898 


42 


.86"^ 


.924 


38 


.034 


.999 


34 


.630 


.964 


34 


.963 


.875 


41 


.916 


.906 


36 


.081 


.998 


33 


.734 


.949 


33 


.984 


.851 


40 


.953 


.886 


35 


.1 19 


.997 


32 


.826 


.931 .320 50 


.034 


.999 


39 


.976 


.865 


34 


.171 


.995 


31 


.898 


.910 


43 


.076 


.998 


38 


.989 


.844 


33 


.238 


.993 


30 


.948 


.885 


47 


.109 


.997 .380 58 


.051 


.999 


32 


.322 


.989 


29 


.977 


.858 


46 


.152 


.996 


56 


.068 


.998 


31 


.421 


.983 .280 45 


.030 


.999 


45 


.206 


.99U 


54 


.1 55 


.996 


30 


.531 


.974 


U2 


.102 


.998 


44 


.273 


.991 


53 


.18? 


.995 


29 


.647 


.962 


41 


.145 


.996 


43 


.352 


.987 


52 


.24 1 


.992 


28 


.759 


.945 


40 


.200 


.994 


42 


.441 


.981 


51 


.31 1 


.989 


27 


.854 


.924 


39 


.269 


.991 


41 


.537 


.973 


50 


.390 


.984 


26 


.925 


.897 


38 


.351 


.987 


40 


.636 


.963 


49 


.477 


.978 


25 


.968 


.867 


37 


.445 


.981 


39 


.731 


.950 


48 


.568 


.970 


24 


.989 


.834 


36 


.547 


.972 


38 


.815 


.935 


47 


.659 


.961 


39 


.040 


.999 


35 


.652 


.961 


37 


.864 


.916 


46 


.745 


.949 


37 


.092 


.998 


34 


.752 


.946 


36 


.934 


.895 


45 


.820 


.935 


36 


.134 


.997 


33 


.839 


.928 


35 


.966 


.873 


44 


.88? 


.919 


35 


.190 


.995 


32 


.907 


.907 


34 


.985 


.849 


43 


.928 


.901 


34 


.261 


.992 


31 


.953 


.882 .330 51 


.039 


.999 


42 


.960 


.882 


33 


.347 


.987 


30 


.979 


.856 


49 


.084 


.998 


41 


.980 


.862 


32 


.447 


.981 .290 46 


.035 


.999 


48 


.120 


.997 .400 60 


.05« 


.999 


31 


.558 


.972 


44 


.078 


.998 


47 


.165 


.995 


58 


.08? 


.998 


30 


.671 


.959 


43 


.113 


.997 


46 


.223 


.993 


57 


.115 


.997 


29 


.778 


.942 


42 


.159 


.996 


45 


.292 


.990 


56 


.15=^ 


.996 


28 


.867 


.920 


41 


.218 


.993 


44 


.373 


.985 


55 


.21 1 


.993 


27 


.932 


.894 


40 


.289 


.990 


43 


.463 


.979 


54 


.274 


.991 


26 


.971 


.864 


39 


.374 


.985 


42 


.559 


.971 


53 


.348 


.987 


25 


.990 


.833 


38 


.469 


.979 


41 


.656 


.961 


52 


.450 


.982 


41 


.030 


.999 


37 


.571 


.970 


40 


.748 


.947 


51 


.517 


.975 


38 


.104 


.998 


36 


.674 


.956 


39 


.828 


.932 


50 


.607 


.967 



135 



FINITE QUEUING TABLES 



M 



D 



M 



D 



POPULATION la^ - 125 
F X M D F 



.400 



49 .695 .956 

48 .775 .944 

47 .844 .930 

46 .899 .914 

45 .939 .897 

44 .966 .878 

43 .983 .859 



.480 



65 .207 .994 
64 .268 .991 
63 .338 .987 
62 .415 .983 
61 .498 .977 
60 .583 .970 
59 .666 .961 



.540 64 .825 .940 

63 .877 .928 

62 .918 .915 

61 .949 .902 

60 .970 .888 

59 .983 .874 

.560 80 .035 .999 



.650 88 .101 .998 

87 .141 .996 

86 .191 .995 

85 .251 .993 

84 .319 .990 

83 .396 .986 

82 .477 .981 



.420 



63 .032 .999 

61 .069 .998 

59 .136 .996 

58 .183 .995 

57 .241 .992 

56 .308 .989 

55 .385 .985 



54 .469 .979 

53 .557 .972 

52 .644 .963 

51 .728 .952 

50 .802 .940 

49 .865 .925 

48 .914 .910 



58 .744 .951 
57 .812 .940 
56 .870 .927 
55 .915 .913 
54 .947 .898 
53 .970 .882 
52 .984 .866 



.500 73 .031 .999 

71 .068 .998 

69 .133 .996 

68 .179 .995 

67 .234 .993 

66 .299 .990 

65 .372 .986 



78 


.076 


.998 


81 


.560 


.975 


77 


.108 


.997 


80 


.64? 


.969 


76 


.148 


.996 


79 


.718 


.961 


75 


.197 


.994 


78 


.787 


.952 


74 


.256 


.992 


77 


.845 


.942 


73 


.323 


.989 


76 


.89? 


.932 


72 


.398 


.985 


75 


.92« 


.921 


71 


.479 


.979 


74 


.954 


.910 


70 


.561 


.973 


73 


.97? 


.898 


69 


.643 


.966 


72 


.984 


.886 


68 


.720 


.957 .700 96 


.04"? 


.999 


67 


.789 


.947 


94 


.097 


.998 


66 


.847 


.936 


93 


.1 58 


.997 


65 


.895 


.924 


92 


.189 


.995 



,440 



47 .949 .893 

46 .972 .875 

45 .986 .857 

65 .039 .999 

63 .083 .998 

62 .1 16 .997 

61 .158 .996 



64 .452 .981 

63 .535 .974 

62 .619 .967 

61 .699 .958 

60 .773 .947 

59 .836 .936 

58 .888 .923 



.580 



64 .931 .912 

63 .957 .899 

62 .975 .885 

61 .986 .871 

83 .027 .999 

80 .089 .998 

79 .124 .997 



91 .251 .993 

90 .32 3 .990 

89 .40? .986 

88 .486 .982 

87 .571 .976 

86 .65^: .969 

85 .730 .962 



60 .210 .994 

59 .272 .991 

58 .343 .987 

57 .423 .982 

56 .508 .976 

55 .595 .968 

54 .680 .959 



.520 



57 .927 .909 
56 .956 .894 
55 .975 .879 
54 .986 .864 
75 .038 .999 
73 .080 .998 
72 .112 .997 



78 


.168 


.995 


84 


.797 


.953 


77 


.221 


.993 


83 


.854 


.944 


76 


.284 


.991 


82 


.899 


.934 


75 


.356 


.987 


61 


.953 


.924 


74 


.433 


.983 


60 


.958 


.913 


73 


.515 


.977 


79 


.975 


.902 


72 


.597 


.971 


78 


.985 


.891 



53 .758 .948 

52 .827 .935 

51 .883 .921 

50 .926 .905 

49 .957 .889 

48 .976 .872 

47 .988 .854 



71 .153 .996 

70 .203 .994 

69 .263 .991 

68 .331 .988 

67 .407 .984 

66 .488 .978 

65 .572 .972 



71 .677 .963 

70 .750 .954 

69 .815 .944 

68 .868 .933 

67 .911 .921 

66 .943 .908 

65 .965 .895 



.750 102 .056 .999 

100 .089 .998 

99 .151 .997 

98 .184 .996 

97 .249 .993 

96 .324 .991 

95 .407 .987 



.460 



68 .032 .999 

66 .069 .998 

64 .135 .996 

63 .182 .995 

62 .238 .992 

61 .304 .989 

60 .379 .985 



59 .460 .980 

58 .546 .973 

57 .631 .965 

56 .713 .955 

55 .787 .944 

54 .850 .931 

53 .900 .917 



.540 



64 .654 .964 

63 .731 .954 

62 .800 .944 

61 .858 .932 

60 .904 .919 

59 .939 .905 

58 .963 .891 



57 .979 .876 

■^6 .989 .861 

78 .030 .999 

75 .093 .996 

74 .129 .997 

73 .174 .996 

72 .229 .993 



.600 



64 


.980 


.882 


63 


.989 


.869 


85 


.032 


.999 


83 


.072 


.998 


81 


.141 


.996 


BO 


.189 


.995 


79 


.247 


.992 


78 


.314 


.989 


77 


.389 


.986 


76 


.469 


.981 


75 


.552 


.975 


74 


.633 


.968 


73 


.710 


.960 


72 


.779 


.950 



94 .495 .982 

93 .583 .977 

92 .668 .970 

91 .745 .963 

90 .81? .955 

89 .867 .946 

88 .910 .937 



87 .94? .927 

86 .964 .917 

85 .979 .906 

84 .988 .896 

.800 107 .047 .999 

105 .118 .998 

104 .W .996 



,480 



5? .938 .901 

51 .964 .885 

50 .980 .869 

70 .039 .999 

68 .082 .998 

67 .115 .997 

66 .156 .996 



71 .?92 .990 
70 .364 .986 
69 .443 .982 
68 .525 .976 
67 .608 .969 
66 .688 .960 
65 .761 .951 



,650 



71 .839 .940 

70 .888 .929 

69 .925 .917 

68 .953 .905 

67 .971 .893 

66 .984 ,880 

91 .030 .999 



103 .241 .994 

102 .32? .991 

101 .411 .988 

100 .50S .983 

99 .599 .978 

98 .687 .971 

97 .766 .964 



136 



FINITE QUEUING TABLES 



POPULATION 12S 



130 



M 



D 



.800 


96 


.832 


.956 


.009 


2 


.422 


.996 


.032 


8 


.064 


.999 


.054 




95 


.885 


.948 


.010 


3 


.165 


.999 




7 


.147 


.998 


.056 




94 


.925 


.939 




2 


.499 


.993 




6 


.305 


.995 






93 


.953 


.929 


.01 1 


3 


.206 


.999 




5 


.572 


.984 






92 


.972 


.920 




2 


.578 


.990 




4 


.907 


.926 






91 


.984 


.910 


.012 


3 


.251 


.998 


.034 


8 


.086 


.999 




.850 


112 


.058 


.999 




2 


.659 


.985 




7 


.187 


.998 





6 .983 .851 
12 .068 .999 
11 .15? ,998 
10 .259 .996 

9 .406 .990 

8 .656 .974 

7 .880 .928 



111 .098 .998 

110 .154 .997 

109 .227 .995 

108 .315 .993 

107 .415 .989 

106 .519 .985 

105 .621 .979 



,013 



• 014 



.015 



4 .102 .999 

3 .300 .997 

2 .738 .978 

4 .127 .999 

3 .352 .996 
2 .813 .966 

4 .155 .999 



.036 



6 .371 .993 

5 .662 .976 

4 .958 .891 
8 .113 .999 

7 .234 .997 

6 .444 .990 

5 .750 .965 



.058 12 .085 .999 

11 .150 .998 

10 .281 .995 

9 .464 .987 

B .70? .966 

7 .92^ .909 

.060 13 .053 .999 





104 


.715 


.973 




3 


.407 


.995 




4 


.985 


.850 




1 1 


.190 


.997 




103 


.796 


.965 




2 


.880 


.949 


.038 


9 


.067 


.999 




10 


.327 


.993 




102 


.861 


.958 


.016 


4 


.186 


.999 




8 


.145 


.998 




9 


.524 


.983 




101 


.910 


.949 




3 


.465 


.993 




7 


.287 


.995 




8 


.765 


.956 




100 


.945 


.940 




2 


.934 


.923 




6 


.521 


.986 




7 


.95U 


.887 




99 


.968 


.931 


.017 


4 


.220 


.998 




5 


.830 


.948 


.062 


13 


.067 


.999 




98 


.982 


.922 




3 


.525 


.990 


.040 


9 


.088 


.999 




12 


.126 


.998 


.900 


1 17 


.064 


.999 




2 


.970 


.889 




8 


.181 


.998 




1 1 


.225 


.996 




1 16 


.119 


.998 


.018 


5 


.098 


.999 




7 


.345 


.993 




10 


.377 


.991 




1 15 


.198 


.997 




4 


.257 


.997 




6 


.600 


.980 




9 


.586 


.978 




1 14 


.300 


.994 




3 


.586 


.987 




5 


.896 


.927 




8 


.823 


.944 




113 


.417 


.991 




2 


.989 


.850 


.042 


9 


.1 12 


.999 




7 


.975 


.863 




1 12 


.540 


.986 


.019 


5 


.118 


.999 




8 


.223 


.997 


.064 


13 


.08? 


.999 




1 1 1 


.657 


.981 




4 


.297 


.997 




7 


.409 


.991 




12 


.15? 


.998 




1 10 


.759 


.974 




3 


.649 


.982 




6 


.680 


.972 




1 1 


.26^ 


.995 




109 


.841 


.967 


.020 


5 


.141 


.999 




5 


.945 


.899 




10 


.429 


.988 




108 


.901 


.959 




4 


.339 


.996 


.044 


10 


.068 


.999 




9 


.64« 


.972 




107 


.943 


.950 




3 


.710 


.976 




9 


.141 


.998 




8 


.873 


.929 




106 


.969 


.942 


.021 


5 


.165 


.999 




8 


.270 


.995 




7 


.988 


.839 




105 


.984 


.933 




4 


.384 


.994 




7 


.477 


.987 


.066 


14 


.053 


.999 


.950 


122 


.050 


.999 




3 


.770 


.968 




6 


.758 


.961 




12 


.180 


.997 




121 


.128 


.998 


.022 


6 


.076 


.999 




5 


.975 


.867 




1 1 


.305 


.993 




120 


.254 


.996 




5 


.192 


.998 


.046 


10 


.088 


.999 




10 


.484 


.985 




1 19 


.413 


.993 




4 


.431 


.993 




9 


.174 


.998 




9 


.709 


.964 




1 18 


.579 


.988 




3 


.826 


.957 




8 


.322 


.994 




8 


.914 


.912 




1 17 


.726 


.982 


.023 


6 


.091 


.999 




7 


.548 


.983 


.068 


14 


.065 


.999 




1 16 


.839 


.975 




5 


.222 


.998 




6 


.828 


.946 




13 


.121 


.998 




1 15 


.914 


.968 




4 


.480 


.991 


.048 


10 


.110 


.999 




12 


.212 


.996 




1 14 


.958 


.960 




3 


.877 


.943 




9 


.212 


.997 




1 1 


.350 


.992 




1 13 


.981 


.951 


.024 


6 


.108 


.999 




8 


.379 


.992 




10 


.541 


.981 












5 


.253 


.997 




7 


.621 


.977 




9 


.766 


.954 












4 


.530 


.988 




6 


.387 


.927 




8 


.945 


.893 












3 


.919 


.924 


.050 


1 1 


.069 


.999 


.070 


14 


.080 


.999 










.025 


6 


.126 


.999 




10 


.137 


.998 




13 


.14U 


.998 












5 


.287 


.996 




9 


.254 


.996 




12 


.247 


.995 


POPULATION 


130 




4 


.581 


.985 




8 


.439 


.989 




1 1 


.390 


.989 












3 


.951 


.902 




7 


.693 


.969 




10 


.599 


.976 


.002 


1 


.258 


.999 


.026 


6 


.146 


.999 




6 


.933 


.905 




9 


.81Q 


.943 


.003 


1 


.386 


.998 




5 


.322 


.995 


.052 


1 1 


.086 


.999 




8 


.967 


.872 


.004 


1 


.514 


.996 




4 


.633 


.981 




10 


.167 


.998 


.075 


15 


.070 


.999 


.005 


2 


.156 


.999 




3 


.973 


.877 




9 


.301 


.994 




14 


.126 


.998 




1 


.640 


.992 


.028 


7 


.083 


.999 




8 


.503 


.985 




13 


.21"=; 


.996 


.006 


2 


.215 


.999 




6 


.192 


.996 




7 


.762 


.958 




12 


.343 


.991 




1 


.761 


.983 




5 


.399 


.993 




6 


.964 


.879 




1 1 


.523 


.981 


.007 


2 


.279 


.998 




4 


.736 


.969 


.054 


12 


.054 


.999 




10 


.741 


.958 




1 


.871 


.963 


.030 


7 


.112 


.999 




10 


.201 


.997 




9 


.92? 


.906 


.008 


2 


.348 


.997 




6 


.245 


.997 




9 


.352 


.992 


.080 


16 


.06 1 


.999 




1 


.954 


.921 




5 


.483 


.989 




8 


.569 


.980 




15 


.110 


.998 


.009 


3 


.129 


.999 




4 


.330 


.952 




7 


.825 


.945 




14 


.188 


.997 



137 



FINITE QUEUING TABLES 

X M D F X 
.080 



.085 



POPULATION 130 - 130 

F X M D F 



.090 



.095 



100 



105 



1 10 



1 15 



13 


.304 


.993 .115 13 


.970 


.865 


12 


.465 


.985 .120 23 


.038 


.999 


1 1 


.664 


.968 


21 


.107 


.998 


10 


.860 


.930 


20 


.170 


.996 


9 


.975 


.861 


19 


.258 


.994 


17 


.054 


.999 


18 


.375 


.988 


15 


.164 


.997 


17 


.521 


.979 


14 


.266 


.994 


16 


.683 


.962 


13 


.410 


.988 


15 


.836 


.933 


12 


.593 


.975 


14 


.943 


.889 


1 1 


.791 


.947 


13 


.989 


.832 


10 


.940 


.894 .125 23 


.057 


.999 


18 


.047 


.999 


22 


.094 


.998 


16 


.144 


.998 


21 


.150 


.997 


15 


.234 


.995 


20 


.229 


.995 


14 


.361 


.990 


19 


.335 


.990 


13 


.528 


.980 


18 


.469 


.982 


12 


.719 


.959 


17 


.624 


.969 


1 1 


.891 


.918 


16 


.781 


.946 


10 


.981 


.852 


15 


.907 


.909 


19 


.041 


.999 


14 


.976 


.858 



17 .126 .998 

16 .205 .996 

15 .318 .992 

14 .469 .984 

13 .650 .968 

12 .831 .937 

11 .954 .883 



19 
18 
17 
16 
15 
14 
13 



12 
1 1 
20 
19 
18 
17 
16 



15 
14 
13 
12 
21 
19 
18 



17 
16 
15 
14 
13 
12 
22 



20 
19 
18 
17 
16 
15 
14 



.064 
.110 
.180 
.281 
.417 
.585 
.766 



.999 
.998 
.996 
.993 
.987 
.974 
.950 



.913 .908 

.984 .844 

.056 .999 

.097 .998 

.158 .997 

.247 .994 

.370 .989 



.525 .979 

.700 .961 

.862 .927 

.963 .873 

.049 .999 

.139 .997 

.218 .995 



.328 .991 

.470 .983 

.637 .968 

.804 .942 

.930 .898 

.987 .837 

.043 .999 



.122 .998 

.193 .996 

.291 .992 

.420 .986 

.577 .974 

,744 .953 

.887 .918 



i130 



.135 



1 140 



.145 



.150 



24 .050 .999 

22 .132 .997 

21 .203 .995 

20 .299 .99i: 

19 .422 .985 

18 .568 .974 

17 .724 .955 



16 .863 .925 
15 .953 .881 
25 .044 .999 
23 .117 .998 
22 .179 .996 
21 .266 .993 
20 .379 .988 



19 .516 .978 
18 .668 .963 
17 .313 .938 
16 .923 .901 
15 .980 .852 
26 .038 .999 
24 .103 .998 



23 .159 .997 
22 .237 .994 
21 .340 .990 
20 .467 .982 
19 .612 .969 
18 .760 .949 
17 .884 .917 



16 .961 .874 
26 .056 .999 
25 .090 .998 
24 .141 .997 
23 .21 1 .995 
22 .304 .991 
21 .422 .985 



20 .560 .974 
19 .706 .957 
18 .840 .931 
17 .935 .893 
16 .983 .847 
27 .049 .999 
25 .124 .997 



150 



.155 



160 



.165 



.170 



.180 



24 


.187 


.996 


.180 


21 


.939 


.891 


23 


.272 


.992 




20 


.980 


.853 


22 


.380 


.987 


.190 


33 


.045 


.999 


21 


.510 


.978 




31 


.107 


.998 


20 


.653 


.964 




30 


.158 


.996 


19 


.792 


.942 




29 


.226 


.994 



18 .902 .910 



28 .31 1 .990 



17 


.9o8 


.868 


27 


.416 


.984 


28 


.043 


.999 


26 


.535 


.975 


26 


.1 10 


.998 


25 


.661 


.962 


25 


.166 


.996 


24 


.781 


.943 


24 


.243 


.994 


23 


.880 


.917 


23 


.342 


.989 


22 


.948 


.885 


22 


.464 


.982 


21 


.983 


.849 


21 


.601 


.970 .200 35 


.054 


.999 


20 


.741 


.951 


33 


.084 


.998 


19 


.863 


.924 


32 


.125 


.997 


18 


.946 


.887 


31 


.181 


.995 


17 


.985 


.842 


30 


.254 


.993 


29 


.038 


.999 


29 


.344 


.988 


27 


.097 


.998 


28 


.451 


.982 


26 


.148 


.997 


27 


.57n 


.972 


25 


.217 


.994 


26 


.69? 


.957 


24 


.308 


.991 


25 


.806 


.938 


23 


.420 


.984 


24 


.896 


.912 


22 


.551 


.975 


23 


.955 


.880 


21 


.690 


.959 


22 


.985 


.845 


20 


.819 


.936 .210 36 


.C4P 


.999 


19 


.917 


.903 


34 


.099 


.998 


18 


.973 


.862 


33 


.145 


.997 


29 


.054 


.999 


32 


.205 


.994 


28 


.085 


.998 


31 


.28? 


.991 


27 


.131 


.997 


30 


.376 


.986 


26 


.193 


.995 


29 


.485 


.979 


25 


.276 


.992 


28 


.603 


.968 


24 


.381 


.987 


27 


.72? 


.953 


23 


.504 


.978 


26 


.827 


.932 


22 


.640 


.965 


25 


.909 


.906 


21 


.772 


.945 


24 


.961 


.876 


20 


.882 


.917 


23 


.987 


.841 


19 


.954 


.881 .220 38 


.05? 


.999 


18 


.987 


.838 


36 


.077 


.998 


30 


.047 


.999 


35 


.115 


.997 


28 


.1 16 


.998 


34 


.165 


.996 


27 


.172 


.996 


33 


.230 


.993 


26 


.248 


.993 


32 


.31? 


.990 


25 


.344 


.989 


31 


.409 


.984 


24 


.460 


.982 


30 


.519 


.976 


23 


.590 


.970 


29 


.655 


.964 


22 


.724 


.954 


28 


.748 


.948 


21 


.843 


.929 


27 


.847 


.927 


20 


.929 


.897 


26 


.920 


.901 


19 


.977 


.857 


25 


.966 


.871 


32 


.036 


.999 


24 


.988 


.838 


30 


.091 


.998 .230 39 


.059 


.999 


29 


.136 


.997 


37 


.091 


.998 


28 


.198 


.995 


36 


.1 5? 


.997 


27 


.279 


.992 


35 


.186 


.995 


26 


.380 


.987 


34 


.256 


.992 


25 


.498 


.978 


33 


.341 


.988 


24 


.627 


.966 


32 


.441 


.982 


23 


.754 


.948 


31 


.551 


.973 


22 


.863 


.923 


30 


.665 


.961 



138 



PINITE QUEUING TABLES 



.230 



,240 



M D F 

29 .773 .944 

28 .864 .923 

27 .930 .897 

26 .970 .867 

25 .990 .835 

41 .030 .999 

38 .10"= .998 



37 .150 .996 

36 .209 .994 

35 .283 .991 

34 .371 .986 

33 .472 .979 

32 .582 .970 

31 .693 .957 



X 
.2«0 



.290 



30 


.795 


.939 


29 


.879 


.918 


28 


.938 


.892 


27 


.974 


.863 


250 42 


.036 


.999 


40 


.082 


.998 


39 


.120 


.997 


38 


.169 


.996 


37 


.232 


.993 


36 


.309 


.990 


35 


.tOI 


.984 


34 


.503 


.977 


33 


.612 


.967 


32 


.719 


.953 


31 


.815 


.935 .300 


30 


.892 


.913 


29 


.946 


.888 


28 


.977 


.860 


260 43 


.043 


.999 


41 


.095 


.998 


40 


.136 


.997 


39 


.189 


.995 


38 


.256 


.992 


37 


.337 


.988 


36 


.430 


.982 


35 


.533 


.974 


34 


.640 


.963 


33 


.743 


.949 


32 


.834 


.931 


31 


.904 


.909 


30 


.952 


.884 .310 


29 


.980 


.857 


270 45 


.033 


.999 


43 


.075 


.998 


42 


.108 


.997 


41 


.153 


.996 


40 


.210 


.994 


39 


.281 


.991 


38 


.364 


.986 


37 


.460 


.980 


36 


.563 


.971 


35 


.667 


.960 


34 


.766 


.945 


33 


.850 


.927 


32 


.915 


.905 


31 


.958 


.880 


30 


.982 


.854 .320 


280 46 


.039 


.999 


44 


.086 


.998 



43 .123 .997 
42 .171 .995 
41 .232 .993 
40 .306 .990 
39 .392 .985 
38 .488 .978 
37 .591 .969 



36 .693 .957 

35 .787 .941 

34 .865 .922 

33 .924 ,901 

32 .963 .877 

31 .984 .851 

48 .030 .999 



45 .098 .998 
44 .138 .997 
43 .190 .995 
42 .254 .992 
41 .331 .986 
40 .419 .983 
39 .517 .975 



38 


.618 


.966 


37 


.717 


.953 


36 


.806 


.937 


35 


.879 


.918 


34 


.933 


.897 


33 


.957 


.873 


32 


.986 


.848 


49 


.035 


.999 


47 


.077 


.998 


46 


.111 


.997 


45 


.154 


.996 


44 


.209 


.994 


43 


.277 


.991 


42 


.357 


.987 


41 


.447 


.981 


40 


.544 


.973 


39 


.644 


.963 


38 


.739 


.950 


37 


.824 


.934 


36 


.891 


.915 


35 


.940 


.893 



34 .971 .870 
33 .988 .845 
50 .041 .999 
48 .088 .998 
47 .124 ,997 
46 .171 .995 
U.5 .230 .993 



44 .300 .990 
43 .383 .985 
42 .474 .979 
41 .571 ,970 
40 .669 .960 
39 .761 .946 
38 .340 .930 



37 .902 .911 
36 .947 .890 
35 .974 ,867 
34 .939 .843 
52 .031 .999 
49 .099 .996 
"8 .139 .996 



.320 



.330 



.340 



.360 



.380 









POPULATION 


130 - 


- 130 


M 





F 


X M 


D 


F 


47 


.189 


.995 


.380 56 


.1 J5 


.995 


46 


.251 


.992 


55 


.163 


.995 


45 


.324 


.988 


54 


.241 


.992 


44 


.408 


.983 


53 


.30n 


.989 


43 


.501 


.977 


52 


.386 


.985 


42 


.597 


.968 


51 


.471 


.979 


41 


.693 


.957 


50 


.56'^ 


.972 


40 


.780 


.943 


49 


.65^ 


.965 


39 


.355 


.926 


48 


.73U 


.951 


38 


.912 


.907 


47 


• ei-^ 


.938 


37 


.952 


.886 


46 


.873 


.923 


36 


.977 


.864 


45 


.921 


.906 


53 


.036 


.999 


44 


.95"= 


.888 


SI 


.078 


.998 


43 


.91(~ 


.869 


50 


.111 


.997 


42 


.960 


.850 


49 


.154 


.996 


.400 63 


.02 = 


.999 


48 


.207 


.99U 


60 


.08"' 


.998 


47 


.272 


.991 


59 


.121 


.997 


46 


.348 


.987 


58 


.164 


.995 


45 


.434 


.982 


57 


.217 


.993 


44 


.527 


.974 


56 


.280 


.991 


43 


.623 


.965 


55 


.355 


.987 


42 


.715 


.954 


54 


.43^ 


.982 


41 


.799 


.939 


53 


.519 


.975 


40 


.868 


.923 


52 


.60-7 


.967 


39 


.921 


.904 


51 


.69^ 


.957 


38 


.958 


.883 


50 


.77? 


.946 


37 


.980 


.861 


49 


.840 


.932 


54 


.042 


.999 


48 


.895 


.917 


52 


.083 


.998 


47 


.956 


.900 


51 


.124 


.997 


46 


.96U 


.883 


50 


.170 


.99^^ 


45 


.981 


.865 


49 


.22o 


.993 


.420 65 


.0 5^ 


.999 


48 


.294 


.990 


63 


.07'^ 


.998 


47 


.373 


.986 


o2 


.107 


.997 


46 


.460 


.980 


61 


,146 


.996 


45 


.553 


.972 


60 


.194 


.994 


44 


.647 


.962 


59 


.25? 


.992 


43 


.736 


.950 


58 


.32^^ 


.988 


42 


.316 


.936 


57 


.397 


.984 


41 


.381 


.919 


56 


,480 


.978 


40 


.930 


.900 


55 


,566 


.971 


39 


.962 


.fl8r 


54 


,655 


.963 


38 


.982 


.859 


53 


,753 


.952 


57 


.037 


.999 


52 


.8C'> 


.940 


55 


.079 


.998 


51 


.867 


.926 


54 


.111 


.997 


50 


,914 


.911 


53 


.152 


.996 


49 


,94« 


.895 


52 


.204 


.994 


48 


.971 


.878 


51 


.266 


.991 


U7 


.985 


.860 


50 


.339 


.987 


.440 68 


.051 


.999 


49 


.422 


.962 


65 


.C9U 


.998 


48 


.511 


.976 


64 


.12° 


.997 


47 


.603 


.967 


63 


.173 


.995 


46 


.693 


.957 


62 


.227 


.993 


45 


.775 


.944 


61 


.291 


.990 


44 


.847 


.929 


60 


.3o3 


.986 


43 


.903 


.913 


59 


.445 


.981 


42 


.943 


.994 


58 


.526 


.975 


41 


.970 


.874 


57 


,61? 


.967 


40 


.986 


.854 


56 


,694 


.958 


60 


.032 


.999 


55 


.77'- 


.947 


58 


.069 


.998 


54 


.63*. 


.935 



139 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 130 - 130 
F X M D F 



.440 53 .889 .921 

52 .930 .906 

51 .959 .890 

50 .977 .873 

49 .988 .856 

,460 70 .039 .999 

68 .082 .998 



.520 74 .141 .996 

73 .187 .995 

72 .243 .992 

71 .307 .989 

70 .380 .986 

69 .458 .981 

68 .539 .975 



.580 75 .589 .972 

74 .667 .965 

73 .740 .956 

72 .805 .947 

71 .859 .936 

70 .903 .925 

69 .936 .913 



.700 84 .943 .922 

83 .965 .911 

82 .979 .901 

81 .988 .890 

.750 106 .055 .999 

104 .085 .998 

103 .12'i .997 



67 .113 .997 

66 .154 .996 

65 .203 .994 

64 .262 .991 

63 .330 .988 

62 .406 .984 

61 .488 .978 



67 .621 .966 

66 .699 .959 

65 .770 .950 

64 .832 .939 

63 .883 .927 

62 .923 .914 

61 .951 .901 



.600 



6A .960 .901 

67 .976 .888 

66 .987 .875 

88 .035 .999 

86 .076 .998 

P5 .107 .997 

84 .146 .996 



102 .175 .996 

101 .2i<^ .994 

100 .308 .991 

99 .38=! .988 

98 .47U .984 

97 .561 .979 

96 .645 .973 



.480 



60 .572 .971 
59 .655 .963 
58 .733 .953 
57 .803 .942 
56 .862 .929 
55 .909 .915 
54 .943 .900 



53 .967 .885 

52 .982 .869 

73 .033 .999 

71 .071 .998 

69 .136 .996 

68 .181 .995 

.236 .993 



.540 



67 



60 


.971 


.887 


83 


.195 


.995 


59 


.984 


.872 


82 


.253 


.992 


81 


.029 


.999 


81 


.319 


.989 


78 


.089 


.998 


80 


.392 


.986 


77 


.123 


.997 


79 


.471 


.981 


76 


.165 


.995 


78 


.552 


.975 


75 


.217 


.994 


77 


.632 


.969 


74 


.277 


.991 


76 


.707 


.961 


73 


.346 


.988 


75 


.776 


.952 


72 


.422 


.983 


74 


.835 


.942 


71 


.502 


.978 


73 


.883 


.932 


70 


.583 


.972 


72 


.921 


.920 


69 


.662 


.964 


71 


.949 


.909 


68 


.737 


.955 


70 


.969 


.897 



95 .72"^ .966 

94 .79? .958 

93 .850 .950 

92 .696 .941 

91 .951 .932 

90 .956 .922 

89 .973 .912 



88 .985 .902 

.800 111 .051 .999 

109 .123 .998 

108 .178 .996 

107 .246 .994 

106 .326 .991 

105 .414 .988 



66 .300 .990 

65 .372 .986 

64 .451 .981 

63 .533 .975 

62 .616 .967 

61 .696 .959 

60 .769 .948 



67 .803 .945 

66 .859 .934 

65 .903 .922 

64 .937 .909 

63 .961 ,896 

62 .978 .882 

61 .988 .869 



.650 



69 .982 .884 

94 .037 .999 

92 .081 .998 

91 .115 .997 

90 .158 .996 

89 .210 .994 

88 .272 .992 



104 .506 .984 

103 .598 .978 

102 .685 .972 

101 .76? .965 

100 .828 .958 

99 .881 .950 

98 .921 .941 



,500 



59 .833 .937 

58 .885 .924 

57 .925 .910 

56 .954 .896 

55 .974 .880 

54 .986 .865 

76 .028 .999 



73 .086 .998 

72 .119 .997 

71 .160 .996 

70 .211 .994 

69 .271 .991 

68 .339 .988 

67 .415 .983 



.560 



83 .035 .999 

81 .075 .998 

80 .106 .997 

79 .144 .996 

78 .192 .995 

77 .249 .992 

76 .314 .989 



75 .386 .986 

74 .465 .981 

73 .545 .975 

72 .626 .968 

71 .702 .960 

70 .772 .951 

69 .833 .941 



87 


.342 


.989 


86 


.418 


.985 


85 


.499 


.980 


84 


.581 


.974 


83 


.660 


.968 


82 


.733 


.960 


81 


.798 


.951 


80 


.853 


.942 


79 


.898 


.932 


78 


.932 


.921 


77 


.956 


.910 


76 


.974 


.899 


75 


.985 


.887 



.700 100 .037 .999 



97 .950 .932 

96 .970 .923 

95 .983 .913 

.850 117 .040 .999 

115 .115 .998 

114 .176 .997 

113 .253 .995 



112 .343 .992 

111 .44? .988 

110 .545 .984 

109 .644 .978 

108 .753 .972 

107 .809 .965 

106 .870 .957 



.520 



66 


.495 


.978 


68 


.882 


.929 


98 


.085 


.998 


105 


.916 


.949 


65 


.577 


.971 


67 


.921 


.917 


97 


.121 


.997 


104 


.948 


.940 


64 


.658 


.963 


66 


.950 


.905 


96 


.168 


.996 


103 


.970 


.932 


63 


.734 


.954 


65 


.970 


.892 


95 


.224 


.994 


102 


.983 


.923 


62 


.802 


.943 


64 


.983 


.879 


PU 


.290 


.992 


.900 122 


.049 


.999 


61 


.860 


.932 .580 86 


.029 


.999 


93 


.365 


.988 


120 


.161 


.997 


60 


.905 


.919 


83 


.090 


.998 


92 


.445 


.984 


1 19 


.251 


.995 


59 


.940 


.905 


82 


.125 


.997 


91 


.529 


.979 


1 18 


.360 


.993 


58 


.964 


.891 


81 


.168 


.995 


90 


.61 1 


.973 


1 17 


.479 


.989 


57 


.979 


.876 


80 


.221 


.994 


89 


.690 


.967 


1 16 


.598 


.984 


56 


.989 


.861 


79 


.283 


.991 


88 


.761 


.959 


1 15 


.707 


.978 


78 


.035 


.999 


78 


.352 


.988 


87 


.823 


.951 


1 14 


.798 


.971 


76 


.074 


.998 


77 


.428 


.983 


86 


.874 


.941 


1 13 


.869 


.964 


75 


.103 


.997 


76 


.508 


.978 


85 


.914 


.932 


1 12 


.920 


.956 



140 



FINITE QUEUING TABLES 



POPULATION 130 - 135 



.900 


1 1 1 


.954 


.948 


.022 


6 


.089 


.999 


.044 


6 


.820 


.950 


.066 


13 


.128 


.998 




1 10 


.975 


.940 




5 


.217 


.998 




5 


.990 


.839 




12 


.222 


.996 




109 


.988 


.932 




4 


.473 


.991 


.046 


10 


.108 


.999 




1 1 


.364 


.991 


.950 


126 


.1 10 


.999 




3 


.871 


.946 




9 


.208 


.997 




10 


.559 


.980 




125 


.224 


.997 


.023 


6 


.106 


.999 




8 


.373 


.992 




9 


.784 


.952 




124 


.374 


.994 




5 


.250 


.997 




7 


.615 


.978 




8 


.954 


.888 




123 


.538 


.990 




4 


.525 


.989 




6 


.884 


.931 


.068 


14 


.085 


.999 




122 


.689 


.984 




3 


.916 


.928 


.048 


1 1 


.068 


.999 




13 


.153 


.998 




121 


.810 


.978 


.024 


6 


.125 


.999 




10 


.135 


.998 




12 


.259 


.995 




120 


.894 


.971 




5 


.285 


.996 




9 


.252 


.996 




1 1 


.41 5 


.989 




1 19 


.946 


.963 




4 


.578 


.986 




8 


.436 


.989 




10 


.620 


.974 




1 18 


.975 


.955 




3 


.951 


.905 




7 


.690 


.970 




9 


.838 


.940 




1 17 


.989 


.947 


.025 


6 


.146 


.999 




6 


.933 


.907 




8 


.97U 


.866 












5 


.322 


.996 


.050 


1 1 


.086 


.999 


.070 


15 


.056 


.999 


POPULATION 


135 




4 


.633 


.982 




10 


.166 


.998 




13 


.181 


.997 












3 


.974 


.879 




9 


.300 


.994 




12 


.300 


.993 


.002 


1 


.268 


.999 


.026 


7 


.071 


.999 




8 


.502 


.986 




1 1 


.469 


.986 


.003 


1 


.401 


.998 




6 


.168 


.998 




7 


.762 


.959 




10 


.680 


.968 


.004 


1 


.534 


.996 




5 


.361 


.994 




6 


.965 


.880 




9 


.884 


.925 


.005 


2 


.167 


.999 




4 


.687 


.976 


.052 


12 


.054 


.999 




8 


.986 


.844 




1 


.664 


.991 




3 


.988 


.850 




10 


.202 


.997 


.075 


16 


.050 


.999 


.006 


2 


.229 


.999 


.028 


7 


.098 


.999 




9 


.353 


.992 




14 


. 16^ 


.997 




1 


.788 


.980 




6 


.220 


.997 




8 


.571 


.981 




13 


.266 


.994 


.007 


2 


.297 


.998 




5 


.445 


.991 




7 


.828 


.945 




12 


.416 


.988 




1 


.898 


.956 




4 


.790 


.962 




6 


.984 


.851 




1 1 


.609 


.975 


.008 


2 


.371 


.997 


.030 


7 


.132 


.999 


.054 


"2 


.069 


.999 




10 


.817 


.944 




1 


.972 


.903 




6 


.279 


.996 




1 1 


.133 


.998 




9 


.96^ 


.881 


.009 


3 


.141 


.999 




5 


.535 


.987 




10 


.242 


.996 


.080 


17 


.045 


.999 




2 


.449 


.995 




4 


.879 


.939 




9 


.410 


.990 




15 


.142 


.998 


.010 


3 


.181 


.999 


.032 


8 


.078 


.999 




8 


.641 


.974 




14 


.255 


.995 




2 


.530 


.993 




7 


.172 


.998 




7 


.884 


.920 




13 


.369 


.990 


.01 1 


3 


.225 


.998 




6 


.346 


.994 


.056 


12 


.086 


.999 




12 


.546 


.980 




2 


.613 


.989 




5 


.629 


.980 




1 1 


.162 


.998 




1 1 


.74R 


.957 


.012 


3 


.273 


.998 




4 


.944 


.906 




10 


.286 


.995 




10 


.910 


.909 




2 


.696 


.983 


.034 


8 


.104 


.999 




9 


.470 


.987 


.085 


17 


.07 3 


.999 


.013 


4 


.114 


.999 




7 


.218 


.997 




8 


.710 


.966 




16 


.127 


.998 




3 


.326 


.997 




6 


.419 


.992 




7 


.928 


.908 




15 


.209 


.996 




2 


.777 


.973 




5 


.722 


.970 


.058 


13 


.055 


.999 




14 


.32B 


.992 


.014 


4 


.142 


.999 




4 


.980 


.865 




1 1 


.195 


.997 




13 


.488 


.983 




3 


.381 


.996 


.036 


9 


.062 


.999 




10 


.334 


.993 




12 


.68" 


.966 




2 


.852 


.958 




7 


.271 


.996 




9 


.533 


.983 




1 1 


.66^ 


.930 


.015 


4 


.173 


.999 




6 


.498 


.988 




8 


.775 


.955 




10 


.97? 


.867 




3 


.441 


.994 




5 


.B09 


.955 




7 


.959 


.885 


.090 


18 


.065 


.999 




2 


.915 


.936 


.038 


9 


.032 


.999 


.060 


13 


.069 


.999 




17 


.113 


.998 


.016 


4 


.207 


.998 




8 


.172 


.998 




12 


.131 


.998 




16 


.186 


.997 




3 


.502 


.992 




7 


.330 


.994 




1 1 


.232 


.996 




15 


.29P 


.993 




2 


.960 


.904 




6 


.580 


.982 




10 


.386 


.991 




14 


.437 


.986 


.017 


5 


.092 


.999 




5 


.883 


.934 




9 


.598 


.977 




13 


.616 


.973 




4 


.244 


.998 


.040 


9 


.107 


.999 




8 


.834 


.942 




12 


.80? 


.945 




3 


.566 


.988 




8 


.214 


.997 




7 


.979 


.860 




1 1 


.9ul 


.895 




2 


.985 


.864 




7 


.395 


.992 


.062 


13 


.086 


.999 


.095 


19 


.050 


.999 


.018 


5 


.1 12 


.999 




6 


.664 


.975 




12 


.158 


.998 




18 


.100 


.998 




4 


.285 


.997 




5 


.938 


.906 




1 1 


.272 


.995 




17 


.16"^ 


.997 




3 


.631 


.984 


.042 


10 


.065 


.999 




10 


.441 


.988 




16 


.260 


.994 


.019 


5 


.135 


.999 




9 


.136 


.998 




9 


.662 


.971 




15 


.391 


.989 




4 


.328 


.996 




8 


.262 


.996 




3 


.884 


.927 




14 


.556 


.978 




3 


.695 


.979 




7 


.465 


.989 


.064 


14 


.056 


.999 




13 


.740 


.956 


.020 


5 


.160 


.999 




6 


.746 


.964 




12 


.188 


.997 




12 


.890 


.917 




4 


.374 


.995 




5 


.972 


.874 




1 1 


.316 


.993 




1 1 


.980 


.855 




3 


.758 


.97 1 


.044 


10 


.085 


.999 




10 


.499 


.984 


.100 


20 


.05? 


.999 


.021 


5 


.167 


.998 




9 


.170 


.998 




9 


.725 


.962 




18 


.147 


.997 




4 


.422 


.993 




8 


.315 


.994 




8 


.924 


.908 




17 


.252 


.995 




3 


.818 


.960 




7 


.539 


.984 


.^^66 


14 


.069 


.999 




16 


.350 


.990 



141 



FINITE QUEUING TABLES 

X M D F X 
.100 



105 



POPULATION 135 - 135 
F X M F 



.1 10 



115 



120 



125 



130 



135 



15 


.502 


.982 


135 23 


.162 


.997 


1 65 29 


.083 


.998 


210 32 


.293 


.991 


14 


.678 


.965 


22 


.241 


.994 


28 


.127 


.997 


31 


.387 


.986 


13 


.846 


.933 


21 


.345 


.990 


27 


.187 


.996 


30 


.494 


.979 


12 


.957 


.882 


20 


.473 


.982 


26 


.266 


.993 


29 


.61 1 


.968 


21 


.046 


.999 


19 


.620 


.969 


25 


.366 


.988 


28 


.726 


.953 


19 


.131 


.998 


18 


.768 


.949 


24 


.485 


.980 


27 


.850 


.933 


18 


.207 


.996 


17 


.890 


.917 


23 


.617 


.968 


26 


.909 


.908 


17 


.314 


.992 


16 


.965 


.873 


22 


.749 


.950 


25 


.960 


.878 


16 


.453 


.985 


140 26 


.059 


.999 


21 


.863 


.925 


24 


.98f- 


.845 


15 


.619 


.971 


25 


.094 


.998 


20 


.942 


.891 


220 39 


.037 


.999 


lU 


.790 


.946 


24 


.145 


.997 


19 


.982 


.851 


37 


.GS-^ 


.998 


13 


.923 


.904 


23 


.217 


.995 


170 31 


.047 


.999 


36 


.124 


.997 


12 


.985 


.845 


22 


.312 


.991 


29 


.1 14 


.998 


35 


.177 


.996 


22 


.041 


.999 


21 


.431 


.985 


28 


.169 


.996 


34 


.244 


.993 


20 


.1 17 


.998 


20 


.571 


.974 


?1 


.241 


.994 


33 


.326 


.989 


19 


.185 


.996 


19 


.717 


.957 


26 


.334 


.989 


32 


.424 


.983 


18 


-.281 


.993 


18 


.849 


.930 


25 


.446 


.983 


31 


.553 


.975 


17 


.408 


.987 


17 


.941 


.892 


24 


.573 


.973 


30 


.647 


.964 


16 


.563 


.976 


16 


.985 


.845 


23 


.704 


.957 


29 


.758 


.948 


15 


.732 


.956 


45 27 


.052 


.999 


22 


.824 


.935 


28 


.85P 


.927 


m 


.880 


.922 


25 


.130 


.997 


21 


.916 


.905 


27 


.923 


.902 


13 


.968 


.871 


24 


.195 


.995 


20 


.970 


.868 


26 


.967 


.873 


22 


.063 


.999 


23 


.282 


.992 


80 33 


.037 


.999 


25 


.98R 


.841 


21 


.104 


.998 


22 


.392 


.987 


31 


.091 


.998 .230 40 


.045 


.999 


20 


.165 


.997 


21 


.524 


.978 


30 


.136 


.997 


58 


.101 


.998 


19 


.252 


.994 


20 


.667 


.963 


29 


.197 


.995 


37 


.145 


.997 


18 


.367 


.989 


19 


.805 


.941 


28 


.276 


.992 


36 


.20? 


.995 


17 


.512 


.980 


18 


.91 1 


.908 


27 


.374 


.987 


35 


.274 


.992 


16 


.675 


.964 


17 


.972 


.865 


25 


.489 


.980 


34 


.361 


.987 


15 


.830 


.936 


50 28 


.046 


.999 


25 


.615 


.968 


33 


.461 


.981 


lU 


.941 


.893 


26 


.117 


.998 


24 


.741 


.951 


32 


.570 


.972 


13 


.989 


.836 


25 


.175 


.996 


23 


.851 


.928 


31 


.68? 


.959 


23 


.056 


.999 


24 


.255 


.993 


22 


.930 


.898 


30 


.786 


.942 


22 


.093 


.998 


23 


.357 


.989 


21 


.975 


.862 


29 


.879 


.921 


21 


.148 


.997 


22 


.480 


.981 


90 34 


.047 


.999 


28 


.955 


.896 


20 


.226 


.995 


21 


.619 


.969 


32 


.1 10 


.998 


27 


.97P 


.867 


19 


.331 


.991 


20 


.758 


.950 


31 


.161 


.996 .240 42 


.055 


.999 


18 


.464 


.983 


19 


.876 


.921 


30 


.228 


.994 


40 


.081 


.998 


17 


.620 


.970 


18 


.953 


.883 


29 


.313 


.990 


39 


.1 1« 


.997 


16 


.778 


.947 


17 


.988 


.838 


28 


.415 


.984 


38 


.166 


.996 


15 


.906 


.911 .1 


55 29 


.041 


.999 


27 


.532 


.976 


37 


.228 


.993 


14 


.976 


.861 


27 


.104 


.998 


26 


.655 


.963 


36 


.305 


.990 


24 


.050 


.999 


26 


.1 58 


.997 


25 


.774 


.945 


35 


.395 


.985 


22 


.132 


.998 


25 


.230 


.994 


24 


.874 


.921 


34 


.497 


.978 


21 


.202 


.995 


24 


.324 


.990 


23 


.942 


.891 


33 


.606 


.968 


20 


.298 


.992 


23 


.439 


.984 


22 


.980 


.856 


32 


.714 


.955 


19 


.421 


.986 


22 


.572 


.973 .200 36 


.037 


.999 


31 


.81 1 


.937 


18 


.568 


.975 


21 


.71 1 


.957 


34 


.089 


.998 


30 


.890 


.916 


17 


.724 


.956 


20 


.836 


.933 


33 


.131 


.997 


29 


.944 


.890 


16 


.864 


.926 


19 


.928 


.899 


32 


.187 


.995 


28 


.977 


.862 


15 


.955 


.883 


18 


.978 


.856 


31 


.260 


.992 .250 43 


.043 


.999 


25 


.044 


.999 .160 30 


.037 


.999 


30 


.349 


.988 


41 


.095 


.998 


23 


.1 18 


.998 


28 


.093 


.996 


29 


.455 


.982 


40 


.1 56 


.997 


22 


.181 


.996 


27 


.142 


.997 


28 


.572 


.972 


39 


.189 


.995 


21 


.268 


.993 


?6 


.207 


.995 


27 


.692 


.958 


38 


.256 


.992 


20 


.381 


.988 


25 


.294 


.991 


26 


.804 


.939 


37 


.356 


.988 


19 


.519 


.979 


24 


.401 


.986 


25 


.893 


.914 


36 


.450 


.983 


18 


.671 


.964 


23 


.527 


.977 


24 


.952 


.884 


35 


.553 


.975 


17 


.817 


.939 


22 


.663 


.963 


23 


.983 


.850 


34 


.640 


.964 


16 


.926 


.901 


21 


.794 


.942 .210 37 


.046 


.999 


33 


.743 


.950 


15 


.981 


.852 


20 


.898 


.913 


35 


.106 


.998 


32 


.854 


.932 


26 


.040 


.999 


19 


.962 


.875 


34 


.153 


.996 


31 


.905 


.910 


24 


.105 


.^98 .165 30 


.053 


.999 


33 


.215 


.994 


30 


.953 


.885 



142 



FINITE QUEUING TABLES 
X M F X 



POPULATION 135 - 135 



.250 
,26C 



,270 



,280 



,290 



29 .980 .858 

45 .034 .999 

43 .077 .998 

42 .111 .997 

41 .156 .996 

40 .214 .994 

39 .284 .991 



38 .369 .986 

37 .464 .980 

36 .567 .972 

35 .672 .960 

34 .770 .945 

33 .854 .927 

32 .918 .905 



31 .960 .880 

30 .983 .854 

46 .041 .999 

44 .090 .998 

43 .128 .997 

42 .177 .995 

41 .239 .993 



40 .314 .989 

39 .401 .984 

38 .498 .978 

37 .601 .968 

36 .702 .956 

35 .795 .941 

34 .872 .922 



33 .929 .900 

32 .966 .876 

31 .986 .850 

48 .032 .999 

45 .104 .998 

44 .146 .996 

43 .199 .994 



42 .265 .992 

41 .344 .988 

40 .433 .982 

39 .531 .975 

38 .632 .965 

37 .730 .952 

36 .818 .936 



35 .888 .917 

34 .939 .895 

33 .971 .871 

32 .938 .846 

49 .039 .999 

47 .084 .998 

46 .120 .997 



,300 



45 .165 .996 
44 .223 .993 
43 .293 .990 
42 .374 .986 
41 .466 .980 
40 .564 .972 
39 .663 .961 



38 .757 .948 

37 .838 .931 

36 .902 .912 

35 .947 .890 

34 .975 .867 

33 .990 .842 

51 .030 .999 



,300 



.310 



.320 



.330 



.340 



M 


D 


F 


X M 


D 


F 


X M 


D 


F 


48 


.097 


.998 .340 54 


.084 


.998 .400 50 


.891 


.920 


47 


.136 


.997 


^3 


.1 17 


.997 


49 


.953 


.904 


46 


.136 


.995 


52 


.160 


.996 


48 


.961 


.887 


45 


.247 


.992 


51 


.214 


.994 


47 


.979 


.869 


44 


.321 


.989 


50 


.278 


.991 


46 


.990 


.851 


43 


.405 


.984 


49 


.353 


.987 .420 67 


.040 


.999 


42 


.498 


.977 


48 


.437 


.982 


65 


.08^ 


.998 


41 


.595 


.969 


47 


.527 


.975 


64 


.115 


.997 


40 


.692 


.957 


46 


.619 


.966 


63 


.155 


.996 


39 


.781 


.943 


45 


.709 


.955 


62 


.205 


.994 


38 


.857 


.927 


44 


.791 


.942 


61 


.264 


.991 


37 


.915 


.907 


43 


.860 


.927 


60 


.352 


.988 


36 


.955 


.886 


42 


.913 


.909 


59 


.409 


.984 


■^5 


.979 


.863 


41 


.951 


.890 


58 


.491 


.978 


52 


.036 


.999 


40 


.975 


.870 


57 


.576 


.971 


50 


.079 


.998 


39 


.989 


.849 


56 


.660 


.962 


49 


.111 


.997 .-^60 59 


.037 


.999 


55 


.759 


.952 


43 


.154 


.996 


=^7 


.077 


.998 


54 


.809 


.941 


47 


.208 


.994 


56 


.108 


.997 


53 


.863 


.927 


46 


.273 


.991 


55 


.148 


.996 


52 


.914 


.913 


45 


.349 


.987 


54 


.193 


.994 


51 


.943 


.897 


44 


.436 


.982 


53 


.258 


.992 


50 


.971 


.881 


43 


.529 


.975 


52 


.329 


.988 


49 


.985 


.864 


42 


.626 


.965 


51 


.409 


.984 .440 70 


.056 


.999 


41 


.719 


.954 


50 


.495 


.978 


68 


.075 


.998 


40 


.803 


.939 


49 


.585 


.970 


67 


.105 


.997 


39 


.873 


.922 


48 


.674 


.960 


66 


.142 


.996 


38 


.926 


.903 


47 


.757 


.948 


65 


.180 


.995 


37 


.961 


.882 


46 


.830 


.935 


64 


.244 


.992 


36 


.982 


.859 


45 


.889 


.919 


63 


.309 


.989 


54 


.028 


.999 


44 


.933 


.901 


62 


.382 


.985 


51 


.091 


.998 


43 


.963 


.883 


61 


.46? 


.980 


50 


.127 


.997 


42 


.982 


.863 


60 


.545 


.974 


49 


.173 


.995 .380 62 


.033 


.999 


59 


.623 


.966 


48 


.230 


.993 


60 


.071 


.998 


58 


.708 


.957 


47 


.299 


.990 


58 


.137 


.996 


57 


.781 


.946 


46 


.378 


.986 


57 


.183 


.995 


56 


.844 


.934 


45 


.466 


.980 


56 


.240 


.993 


55 


.895 


.920 


44 


.560 


.972 


55 


.306 


.989 


54 


.95^ 


.906 


43 


.655 


.962 


^4 


.382 


.985 


53 


.960 


.891 


42 


.745 


.950 


53 


.465 


.980 


52 


.970 


.875 


41 


.824 


.935 


52 


.552 


.973 


51 


.989 


.858 


40 


.888 


.918 


51 


.640 


.964 .460 73 


.0 5? 


.999 


39 


.935 


.899 


50 


.724 


.954 


70 


.095 


.998 


38 


.966 


.878 


49 


.800 


.941 


69 


.1 31 


.997 


37 


.984 


.856 


48 


.864 


.927 


68 


.17-? 


.995 


55 


.034 


.999 


47 


.913 


.91 1 


67 


.225 


.993 


53 


.073 


.998 


46 


.949 


.894 


66 


.287 


.990 


51 


.143 


.996 


45 


.972 


.876 


65 


.357 


.987 


50 


.193 


.995 


44 


.9o6 


.857 


64 


.45^ 


.982 


49 


.254 


.992 .400 65 


.030 


.999 


63 


.515 


.977 


48 


.326 


.988 


62 


.091 


.998 


62 


.597 


.970 


47 


.407 


.984 


61 


.126 


.997 


61 


.673 


.961 


46 


.497 


.977 


60 


.169 


.995 


60 


.753 


.951 


45 


.590 


.969 


59 


.222 


.993 


59 


.819 


.940 


44 


.683 


.959 


58 


.285 


.990 


58 


.874 


.928 


43 


.768 


.946 


57 


.357 


.987 


57 


.917 


.914 


42 


.343 


.931 


56 


.436 


.982 


56 


.943 


.900 


41 


.901 


.914 


55 


.521 


.976 


55 


.970 


.884 


40 


.944 


.894 


54 


.607 


.968 


54 


.984 


.869 


39 


.971 


.874 


53 


.692 


.958 .480 76 


.020 


.999 


38 


.987 


.852 


52 


.769 


.947 


73 


.085 


.998 


56 


.040 


.999 


51 


.837 


.934 


72 


.118 


.997 



143 



FINITE QUEUING TABLES 
X M D F X 



.480 



,500 



,520 



,540 



71 


.158 


.996 


70 


.207 


.994 


69 


.265 


.991 


68 


.332 


.988 


67 


.406 


.984 


66 


.485 


.979 


65 


.567 


.973 


64 


.648 


.965 


63 


.724 


.956 


62 


.793 


.945 


61 


.852 


.934 


60 


.899 


.921 


59 


.935 


.908 


58 


.961 


.894 


57 


.978 


.879 


56 


.988 


.864 


78 


.037 


.999 


76 


.076 


.998 


75 


.106 


.997 


74 


.144 


.996 


73 


.190 


.995 


72 


.245 


.992 


71 


.308 


.990 


70 


.380 


.986 


69 


.457 


.981 


68 


.537 


.975 


67 


.618 


.968 


66 


.695 


.960 


65 


.766 


.950 


64 


.829 


.940 


63 


.880 


.928 


62 


.920 


.915 


61 


.950 


.902 


60 


.970 


.888 


59 


.983 


.874 


81 


.032 


.999 


78 


.095 


.998 


77 


.130 


.997 


76 


.173 


.995 


75 


.225 


.993 


74 


.285 


.991 


73 


.354 


.987 


72 


.429 


.983 


71 


.508 


.978 


70 


.588 


.971 


69 


.667 


.964 


68 


.740 


.955 


67 


.805 


.945 


66 


.860 


.934 


65 


.904 


.922 


64 


.938 


.909 


63 


.962 


.896 


62 


.978 


.882 


61 


.988 


.869 


84 


.028 


.999 


81 


.084 


.998 


80 


.117 


.997 


79 


.157 


.996 


78 


.206 


.994 


77 


.263 


.992 


76 


.329 


.989 


75 


.402 


.985 


74 


.479 


.980 



.540 



.560 



,580 



.600 



M D F 

73 .559 .974 

72 .638 .967 

71 .713 .959 

70 .781 .950 

69 .839 .939 

68 .887 .928 

67 .925 .916 



66 .952 .904 
65 .971 .891 
64 .984 .877 
86 .035 .999 
84 .074 .998 
82 .141 .996 
81 .137 .995 



80 .242 .993 

79 .305 .990 

78 .375 .986 

77 .451 .982 

76 .530 .977 

-'S .609 .970 

74 .685 .963 



73 .756 .954 
72 .818 .944 
71 .869 .934 
70 .91 1 .923 
69 .942 .911 
68 .964 .898 
67 .979 .886 



66 .988 .873 

99 .030 .999 

86 .092 .998 

85 .126 .997 

84 .169 .996 

8-3 .221 .994 

82 .281 .991 



81 .349 .988 

80 .423 .984 

79 .501 .979 

78 .581 .973 

77 .658 .966 

76 .730 .958 

75 .795 .949 



74 .350 .939 
73 .895 .929 
72 .930 .917 
71 .955 .905 
70 .973 .893 
69 .934 .881 
91 .038 .999 



89 .080 .998 

88 .112 .997 

87 .152 .996 

B6 .200 .994 

85 .257 .992 

84 .323 .989 

83 .395 .986 



82 .473 .981 

81 .552 .976 

80 .630 .969 

79 .705 .962 

78 .772 .953 

77 .831 .944 

76 .880 .934 



.600 



.650 



75 


.918 


.923 


74 


.946 


.912 


73 


.967 


.900 


72 


.980 


.888 


71 


.989 


.876 


98 


.029 


.999 


95 


.094 


.998 


94 


.130 


.997 


93 


.175 


.996 


92 


.230 


.994 


Ql 


.293 


.991 


90 


.364 


.988 


89 


.441 


.984 


88 


.520 


.979 



POPULATION 135 - 140 
F X M D F 
.800 



87 .600 .973 

86 .676 .967 

85 .747 .959 

84 .809 .951 

83 .861 .941 

82 .903 .932 

81 .935 .921 



.959 .91 1 

.975 .900 

78 .935 .889 

.700 104 .032 .999 

101 .107 .998 

100 .148 .997 

99 .200 .995 



80 
79 



98 .261 .993 

07 .330 .990 

96 .407 .987 

95 .488 .982 

94 .570 .977 

93 .649 .971 

92 .723 .964 



91 .789 .956 

90 .845 .948 

89 .891 .939 

88 .926 .929 

87 .952 .920 

86 .970 .909 

85 .982 .899 



B4 .990 .889 

.750 110 .034 .999 

108 .031 .998 

106 .166 .996 

105 .225 .994 

^(^^. .294 .992 

103 .371 .989 



102 .454 .985 

101 .539 .981 

100 .623 .975 

99 .702 .969 

98 .772 .962 

97 .832 .954 

96 .882 .945 



.850 



.900 



.950 



1 12 


.183 


.996 


1 1 1 


.251 


.994 


1 10 


.329 


.992 


109 


.416 


.988 


106 


.506 


.984 


107 


.596 


.979 


106 


.687 


.973 


105 


.758 


.966 


104 


.824 


.959 


103 


.877 


.951 


102 


.917 


.943 


101 


.947 


.934 


100 


.96R 


.925 


99 


.981 


.916 


98 


.989 


.907 


121 


.050 


.999 


1 19 


.1 34 


.998 


1 18 


.199 


.996 


1 17 


.278 


.994 


1 16 


.370 


.991 


115 


.469 


.987 


1 14 


.569 


.983 


1 13 


.664 


.977 


1 12 


.750 


.971 


1 1 1 


.F2? 


.964 


1 10 


.879 


.957 


109 


.92? 


.949 


108 


.955 


.941 


107 


.97? 


.932 


106 


.984 


.924 


126 


.073 


.999 


125 


.129 


.998 


124 


.208 


.997 


123 


.307 


.994 


122 


.420 


.991 


121 


.55Q 


.987 


120 


.651 


.982 


1 19 


.751 


.976 


1 18 


.83? 


.969 


1 17 


.89^ 


.962 


1 16 


.936 


.954 


1 15 


.964 


.946 


1 14 


.981 


.938 


131 


.09^ 


.99° 


130 


.196 


.998 


129 


.337 


.995 


128 


.497 


.991 


127 


.651 


.986 


126 


.77Q 


.980 


U5 


.87? 


.974 


124 


.933 


.966 


123 


.967 


.959 


122 


.985 


.951 



95 


.920 


.937 


POPULATION 


140 


94 


.948 


.927 








93 


.967 


.918 


.002 


1 .21^ 


.999 


92 


.981 


.908 


.003 


1 .41 ^ 


.998 


91 


.989 


.899 


.004 


1 .553 


.995 


.800 115 


.054 


.999 


.005 


2 .178 


.999 


1 14 


.086 


.998 




1 .688 


.990 



144 



FINITE QUEUING TABLES 

X M D F X 
.006 
.007 
.008 



POPULATION mo 



mo 



,009 



.010 



,01 1 



,012 



.013 



.014 



.015 



,016 



.017 



,018 



,019 



,020 



,021 



.022 



,023 



,024 



,025 



,026 



2 


.244 


.999 


.026 


4 


.739 


.971 


.052 12 


.069 


.999 .070 10 


.757 


.957 


1 


.815 


.977 


.028 


7 


.1 15 


.999 


1 1 


.133 


.998 


9 


.953 


.904 


2 


.316 


.998 




6 


.250 


.997 


10 


.241 


.996 .075 16 


.C6-7 


.999 


1 


.923 


.947 




5 


.492 


.989 


9 


.409 


.990 


15 


.119 


.998 


2 


.394 


.997 




4 


.841 


.952 


8 


.641 


.975 


14 


.201 


.996 


1 


.985 


.881 


.030 


8 


.068 


.999 


7 


.885 


.930 


13 


.322 


.993 


3 


.154 


.999 




7 


.153 


.998 


.054 12 


.087 


.999 


12 


.489 


.984 


2 


.476 


.995 




6 


.316 


.995 


1 1 


.163 


.998 


11 


.691 


.966 


3 


.197 


.999 




5 


.588 


.984 


10 


.287 


.995 


10 


.882 


.926 


2 


.561 


.992 




4 


.921 


.922 


9 


.472 


.987 


9 


.983 


.854 


3 


.244 


.998 


.032 


8 


.093 


.999 


8 


.712 


.967 .080 17 


.061 


.999 


2 


.648 


.987 




7 


.199 


.998 


7 


.931 


.908 


16 


.108 


.99" 


a 


.101 


.999 




6 


.389 


.993 


.056 13 


.056 


.999 


15 


.161 


.997 


3 


.296 


.997 




5 


.686 


.975 


1 1 


.197 


.997 


14 


.290 


.994 


2 


.734 


.979 




4 


.970 


.883 


10 


.337 


.993 


13 


.440 


.987 


a 


.128 


.999 


.034 


8 


.123 


.999 


9 


.537 


.983 


12 


.628 


.973 


3 


.352 


.996 




7 


.251 


.997 


8 


.780 


.956 


1 1 


.623 


.943 


2 


.816 


.968 




6 


.469 


.990 


7 


.962 


.884 


10 


.95!=! 


.885 


a 


.158 


.999 




5 


.780 


.962 


.058 13 


.071 


.999 .085 18 


.055 


.999 


3 


.412 


.995 


.036 


9 


.075 


.999 


12 


.133 


.998 


16 


.16^ 


.997 


2 


.888 


.949 




8 


.159 


.998 


1 1 


.236 


.996 


15 


.261 


.994 


a 


.192 


.999 




7 


.31 1 


.995 


10 


.391 


.991 


14 


.397 


.989 


3 


.475 


.993 




6 


.554 


.985 


9 


.605 


.977 


13 


.571 


.978 


2 


.944 


.920 




5 


.862 


.942 


8 


.841 


.942 


12 


.7b3 


.954 


U 


.229 


.998 


.038 


9 


.099 


.999 


7 


.982 


.858 


1 1 


.920 


.909 


3 


.540 


.990 




8 


.201 


.997 


.060 13 


.089 


.999 


10 


.989 


.839 


2 


.978 


.882 




7 


.376 


.993 


12 


. 1 62 


.998 .090 19 


.050 


.999 


1 


.978 


.882 




6 


.641 


.978 


1 1 


.278 


.995 


17 


.147 


.998 


5 


.105 


.999 




5 


.926 


.916 


10 


.449 


.988 


16 


.255 


.995 


4 


.270 


.997 


.040 


10 


.061 


.999 


9 


.672 


.971 


15 


.35^ 


.990 


3 


.607 


.986 




3 


.249 


.996 


8 


.892 


.925 


14 


.51'' 


.981 


5 


.127 


.999 




7 


.448 


.990 


.062 14 


.058 


.999 


13 


.703 


.963 


4 


.314 


.996 




6 


.727 


.966 


12 


.194 


.997 


12 


.873 


.928 


3 


.675 


.981 




5 


.967 


.883 


1 1 


.325 


.993 


1 1 


.97? 


.869 


5 


.152 


.999 


.042 


10 


.081 


.999 


10 


.510 


.984 .095 20 


.046 


.999 


4 


.361 


.995 




9 


.162 


.998 


9 


.737 


.962 


18 


.1 53 


.998 


3 


.741 


.974 




8 


.303 


.995 


8 


.932 


.906 


17 


.212 


.996 


5 


.1 80 


.998 




7 


.524 


.986 


.064 14 


.073 


.999 


16 


.324 


.992 


4 


.410 


.994 




fc 


.807 


.954 


13 


.133 


.998 


15 


.471 


.984 


3 


.805 


.964 




5 


.988 


.847 


12 


.230 


.996 


14 


.645 


.970 


6 


.086 


.999 


.044 


10 


.104 


.999 


1 1 


.375 


.991 


13 


.821^ 


.942 


5 


.21 1 


.998 




9 


.201 


.997 


10 


.572 


.979 


12 


.945 


.893 


4 


.462 


.992 




8 


.363 


.993 


9 


.798 


.951 .100 21 


.04? 


.999 


3 


.862 


.950 




7 


.602 


.980 


8 


.960 


.884 


19 


.120 


.998 


6 


.103 


.999 




6 


.876 


.935 


.066 14 


.090 


.999 


18 


.19? 


.996 


5 


.244 


.997 


.046 


1 1 


.066 


.999 


13 


.160 


.998 


17 


.293 


.993 


4 


.516 


.990 




10 


.131 


.998 


12 


.269 


.995 


16 


.427 


.987 


3 


.91 1 


.932 




9 


.246 


.996 


1 1 


.428 


.988 


15 


.591 


.975 


6 


.122 


.999 




8 


.428 


.990 


10 


.635 


.974 


14 


.766 


.952 


5 


.280 


.997 




7 


.681 


.972 


9 


.852 


.937 


13 


.909 


.913 


4 


.572 


.986 




6 


.929 


.912 


8 


.979 


.862 


12 


.98? 


.855 


3 


.948 


.909 


.048 


1 1 


.084 


.999 


.068 15 


.059 


.999 .105 21 


.065 


.999 


6 


.143 


.999 




10 


.163 


.998 


13 


.190 


.997 


20 


.109 


.998 


5 


.318 


.996 




9 


.295 


.995 


12 


.313 


.993 


19 


.173 


.997 


4 


.628 


.983 




8 


.496 


.986 


1 1 


.485 


.985 


18 


.265 


.994 


3 


.973 


.882 




7 


.757 


.961 


10 


.698 


.966 


17 


.388 


.988 


6 


.167 


.998 




6 


.964 


.884 


9 


.897 


.922 


16 


.54 1 


.979 


5 


.358 


.995 


.050 


1 1 


.107 


.999 


8 


.990 


.838 


15 


.71 1 


.961 


4 


.684 


.977 




10 


.200 


.997 


.070 15 


.073 


.999 


14 


.865 


.929 


3 


.988 


.853 




9 


.350 


.993 


14 


.132 


.998 


13 


.96? 


.879 


7 


.084 


.999 




8 


.568 


.982 


13 


.224 


.996 .110 22 


i059 


.999 


6 


.192 


.998 




7 


.826 


.947 


12 


.359 


.991 


21 


.098 


.998 


5 


.401 


.993 




6 


.985 


.854 


1 1 


.543 


.981 


20 


.157 


.997 



145 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION mo - 140 
F X M D F 



.110 



.115 



120 



,125 



130 



135 



140 



19 


.240 


.995 


18 


.353 


.990 


17 


.495 


.982 


16 


.658 


.967 


15 


.817 


.941 


14 


.935 


.899 


13 


.987 


.843 


23 


.054 


.999 


21 


.142 


.997 


20 


.218 


.995 


19 


.320 


.991 


18 


.452 


.984 


17 


.607 


.972 


16 


.767 


.951 


15 


.899 


.916 


14 


.974 


.866 


24 


.048 


.999 


22 


.128 


.998 


21 


.197 


.996 


20 


.291 


.992 


19 


.413 


.987 


18 


.559 


.976 


17 


.717 


.959 


16 


.859 


.929 


15 


.953 


.886 


25 


.044 


.999 


23 


.1 16 


.998 


22 


.179 


.996 


21 


.265 


.993 


20 


.377 


.988 


19 


.514 


.980 


18 


.667 


.965 


17 


.814 


.941 


16 


.925 


.904 


15 


.981 


.855 


26 


.040 


.999 


24 


.105 


.998 


23 


.162 


.997 


22 


.241 


.994 


21 


.344 


.990 


20 


.473 


.983 


19 


.619 


.970 


18 


.768 


.950 


17 


.891 


.918 


16 


.966 


.875 


26 


.059 


.999 


25 


.095 


.998 


24 


.147 


.997 


23 


.219 


.995 


22 


.314 


.99 1 


21 


.434 


.985 


20 


.574 


.974 


19 


.721 


.957 


18 


.853 


.930 


17 


.944 


.892 


16 


.986 


.845 


27 


.054 


.999 


25 


.133 


.997 


24 


.199 


.995 


23 


.287 


.992 


22 


.398 


.987 


21 


.531 


.978 


20 


.675 


.963 



140 



145 



.150 



.155 



160 



I 165 



I 170 



19 .811 .940 
18 .916 .907 
17 .975 .864 
28 .049 .999 
26 .121 .998 
25 .181 .996 
24 .262 .993 



23 


.365 


.988 


22 


.490 


.981 


21 


.629 


.968 


20 


.768 


.949 


19 


.884 


.920 


18 


.958 


.882 


17 


.990 


.836 


29 


.044 


.999 


27 


.109 


.998 


26 


.164 


.996 


25 


.239 


.994 


24 


.335 


.990 


23 


.452 


.983 


22 


.586 


.973 


21 


.724 


.956 


20 


.848 


.931 


19 


.936 


.897 


18 


.981 


.855 


30 


.040 


.999 


28 


.099 


.998 


27 


.149 


.997 


26 


.218 


.995 


25 


.307 


.991 


24 


.417 


.985 


23 


.544 


.976 


22 


.680 


.962 


21 


.809 


.940 


20 


.909 


.910 



19 .968 .872 
31 .036 .999 
29 .090 .996 
28 .136 .997 
27 .198 .995 
26 .281 .992 
25 .383 .987 



24 .505 .979 

23 .638 .967 

22 .768 .948 

21 .878 .922 

20 .950 .887 

19 .986 .847 

31 .052 .999 



29 .123 .998 

28 .181 .996 

27 .257 .993 

26 .353 .989 

25 .468 .982 

24 .596 .971 

23 .727 .955 



22 .843 .932 

21 .928 .901 

20 .976 .863 

32 .047 .999 

r'O .112 .998 

29 .165 .996 

28 .235 .994 



I 170 



180 



190 



.200 



.210 



.220 



27 


.324 


.990 


26 


.432 


.984 


25 


.556 


.975 


24 


.685 


.961 


23 


.806 


.940 


22 


.902 


.913 


21 


.962 


.878 


20 


.989 


.839 


34 


.038 


.999 


32 


.092 


.998 


31 


.136 


.997 


30 


.196 


.995 


29 


.273 


.992 


28 


.369 


.988 


27 


.481 


.981 


26 


.604 


.970 


25 


.729 


.954 


24 


.839 


.932 


23 


.921 


.904 


22 


.970 


.870 


35 


.049 


.999 


33 


.1 13 


.998 


32 


.163 


.996 


31 


.230 


.994 


30 


.313 


.990 


29 


.414 


.985 


28 


.528 


.977 


27 


.650 


.965 


26 


.767 


.947 


25 


.867 


.925 


24 


.937 


.896 


23 


.977 


.863 


37 


.040 


.999 


35 


.093 


.998 


34 


.136 


.997 


33 


.193 


.995 


32 


.265 


.992 


31 


.355 


.988 


30 


.459 


.982 


29 


.574 


.972 


28 


.692 


.959 


27 


.802 


.941 



26 .890 .917 

25 .950 .888 

24 .982 .856 

39 .032 .999 

36 .113 .998 

35 .161 .996 

34 .224 ,99^ 



33 .302 .991 

32 .396 .986 

31 .503 .978 

30 .618 .968 

29 .731 .953 

28 .832 .934 

27 .909 .909 



26 .960 .881 

25 .986 .849 

40 .041 .999 

38 .093 .998 

37 .134 .997 

36 .188 .995 

35 .257 .993 



.220 



.230 



.240 



,250 



.260 



34 .341 .989 

33 .458 .983 

32 .547 .974 

31 .659 .963 

30 .766 .947 

29 .858 .927 

28 .926 .902 



27 .968 .874 

26 .989 .843 

42 .053 .999 

39 .111 .998 

38 .158 .996 

37 .217 .994 

36 .291 .991 



35 .380 .986 

34 .480 .980 

33 .589 .970 

32 .698 .958 

31 .798 .941 

30 .880 .920 

29 .9 59 .895 



28 .974 .868 

43 .04? .999 

41 .092 .998 

40 .152 .997 

39 .183 .995 

38 .24A .993 

37 .327 .989 



36 .419 .984 

35 .521 .976 

34 .628 .966 

33 .753 .952 

32 .626 .935 

31 .900 .914 

30 .950 .889 



29 .979 .862 

45 .054 .999 

43 .076 .998 

41 .154 .996 

40 .210 .994 

39 .280 .991 

38 .36"^ .987 



37 .458 .981 

36 .561 .973 

35 .666 .962 

34 .766 .947 

33 .651 .929 

32 .916 .907 

31 .9SQ .883 



30 .983 .856 

46 .042 .999 

44 .090 .998 

43 .128 .997 

42 .177 .995 

41 .259 .993 

40 .314 .990 



39 .400 .985 

38 .497 .978 

37 .600 .969 

36 .70? .957 

35 .795 .942 

34 .873 .923 

33 .950 .901 



146 



FINITE QUEUING TABLES 
X M D F X 



.260 



.270 



.280 



,290 



.300 



32 .966 .877 

31 .986 .851 

U8 .03U .999 

46 .075 .998 

U4 ,149 .996 

43 .203 .994 

42 .269 .992 



.310 



41 


.348 


.988 


40 


.438 


.982 


39 


.536 


.975 


38 


.637 


.965 


37 


.735 


.952 


36 


.822 


.936 


35 


.892 


.917 


34 


.941 


.895 


33 


.972 


.871 


32 


.989 


.846 


49 


.041 


.999 


47 


.088 


.998 


46 


.125 


.997 



45 .171 .996 



44 .230 .993 

43 .301 .990 

42 .383 .986 

41 .475 .980 

40 .573 .971 

39 .672 .961 

38 .765 .947 



37 .845 .931 

36 .908 .911 

35 .951 .889 

34 .977 .866 

51 .033 .999 

48 .104 .998 

47 .144 .996 



46 .195 .995 
45 .258 .992 
44 .333 .988 
43 .418 .983 
42 .512 .977 
41 .609 .968 
40 .705 .956 



39 .793 .942 

38 .866 .925 

37 .922 .906 

36 .959 .834 

35 .981 .861 

52 .040 .999 

50 .086 .998 



49 .120 .997 

48 .165 .996 

47 .221 .994 

46 .288 .991 

45 .366 .987 

44 .454 .981 

43 .548 .974 



42 .644 .964 

41 .736 .952 

40 .818 .937 

39 .885 .920 

38 .934 .900 

37 .966 .879 

36 .985 .856 



.320 



M D F X 

54 .033 .999 .340 

51 .100 .998 

50 .139 .997 

49 .187 .995 .360 

48 .247 .992 

47 .318 .989 

46 .400 .985 



45 .489 .978 
44 .583 .970 
43 .677 .960 
42 .765 .947 
41 .841 .932 
40 .901 .915 
39 .944 .895 



38 .972 .874 

37 .987 .852 

55 .039 .999 

53 .083 .998 

52 .116 .997 

51 .158 .996 

50 .211 .994 .380 



49 .275 .991 

48 .350 .987 

47 .434 .982 

46 .524 .976 

45 .618 .967 

44 .708 .956 

43 .791 .943 



42 .861 .927 
41 .915 .909 
40 .953 .890 
39 .977 .869 
38 .990 .848 
57 .032 .999 
54 .096 .998 



53 .133 .997 

52 .180 .995 

51 .237 .993 .400 

50 .304 .990 

49 .382 .986 

48 .468 .980 

47 .559 .973 



46 .650 .963 
45 .738 .952 
44 .815 .938 
43 .879 .922 
42 .928 .904 
41 .961 .885 
40 .931 .865 



.340 58 .038 .999 

56 .080 .998 

55 .111 .997 

54 .152 .996 

53 .202 .994 

52 .263 .992 

51 .334 .988 .420 



50 .414 .984 
49 .502 .977 
48 .592 .970 
47 .682 .960 
46 .765 .948 
45 .837 .934 
44 .896 .917 



.330 



POPULATION 140 - 140 

OF X M D F 

.420 bO .501 .978 

59 .584 .971 

58 .667 ,962 

57 .744 .952 

56 .812 .941 

55 .870 .928 

54 ,91"^ .914 



53 .948 ,899 

52 .970 .883 

51 .964 .367 

73 .029 .999 

70 .085 .998 

69 .ll-S .997 

68 .156 .996 



43 


.938 


.900 


42 


.967 


.881 


41 


.984 


.861 


61 


.036 


.999 


59 


.076 


.998 


57 


.145 


.996 


56 


.193 


.995 


55 


.251 


.992 


54 


.319 


.989 


53 


.396 


.985 


52 


.480 


.979 


51 


.568 


.972 


50 


.656 


.963 


49 


.739 


.952 


48 


.814 


.939 


47 


.875 


.924 


46 


.922 


.908 


45 


.956 


.890 


44 


.977 


.872 


43 


.989 


.853 


64 


.035 


.999 


62 


.072 


.998 


60 


.138 


.997 


59 


.184 


.995 


58 


.239 


.993 


57 


.304 


.990 


56 


.378 


.986 


55 


.459 


.981 


54 


.545 


.974 


53 


.631 


.966 


52 


.715 


.956 


51 


.790 


.944 


50 


.854 


.931 


49 


.906 


.916 


48 


.943 


.899 


47 


.968 


.882 


46 


.984 


.864 


67 


.033 


.999 


64 


.096 


.998 


63 


.131 


.997 


62 


.174 


.995 


61 


.227 


.993 


60 


.290 


.990 


59 


.361 


.987 


58 


.439 


.982 


57 


.523 


.976 


56 


.608 


.968 


55 


.690 


.959 


54 


.767 


.948 


53 


.833 


.936 


52 


.888 


.922 


51 


.929 


.907 


50 


.959 


.891 


49 


.978 


.874 


48 


.989 


.857 


70 


.031 


.999 


67 


.090 


.998 


66 


.124 


.997 


65 


.165 


.996 


64 


.216 


.994 


63 


.276 


.991 


62 


.344 


.988 


61 


.420 


.983 



.440 



.460 



.480 



67 ,204 .994 

66 .26? .992 

65 .328 .989 

64 .401 .984 

63 .480 .979 

62 .562 .973 

61 .644 .96"^ 



60 .721 .956 

59 .791 .945 

58 .851 .933 

57 .900 .920 

56 .936 .906 

55 .96? .891 

54 .979 .876 



53 .989 .860 

75 .0 59 .999 

73 .079 .998 

72 .109 .997 

71 .147 .996 

70 .19^ .995 

69 .248 .992 



68 .315 .989 

67 .38"? .986 

66 .460 .981 

65 .54^ .975 

64 .621 .968 

63 .699 .959 

62 .771 .949 



61 .853 .933 

60 .884 .926 

59 .924 .913 

58 .953 .899 

57 .97"' .884 

56 .935 .869 

78 .05^ .999 



76 .074 .998 

74 .130 .996 

73 .18? .995 

72 .235 .993 

71 .296 .990 

70 .365 .987 

69 .440 .982 



o8 .51<5 .977 

67 .59P .970 

66 .677 .962 

65 .750 .953 

64 .814 .943 

63 .868 .931 

62 .911 .919 



147 



FINITE QUEUING TABLES 



POPULATION 140 - 1 U5 



M 



.480 



.500 



61 


.943 


.905 


60 


.966 


.892 


59 


.981 


.877 


58 


.990 


.863 


81 


.033 


.999 


78 


.095 


.998 



,520 



,540 



77 .129 .997 



76 .171 .995 

75 .221 .994 

74 .280 .991 

73 .347 .988 

72 .421 .984 

71 .498 .979 

70 .578 .972 



69 .656 .965 

68 .729 .956 

67 .795 .947 

66 .852 .936 

65 .898 .924 

64 .933 .912 

63 .958 .898 



62 .976 .885 

61 .986 .871 

84 .030 .999 

81 .088 .998 

80 .120 .997 

79 .160 .996 

78 .208 .994 



77 .265 .992 

76 .330 .989 

75 .401 .985 

74 .478 .980 

73 .557 .974 

72 .635 .968 

71 .709 .960 



,560 



70 


.777 


.950 


69 


.836 


.940 


68 


.884 


.929 


67 


.922 


.917 


66 


.950 


.905 


65 


.970 


.892 


64 


.983 


.879 


86 


.039 


.999 


84 


.080 


.998 


83 


.1 1 1 


.997 


82 


.149 


.996 


81 


.195 


.995 


80 


.250 


.992 


79 


.313 


.990 


78 


.383 


.986 


77 


.458 


.982 


76 


.536 


.976 


75 


.614 


.970 


74 


.689 


.962 


73 


.758 


.954 


72 


.819 


.944 


71 


.870 


.934 


70 


.91 1 


.923 


69 


.942 


.91 1 


68 


.964 


.898 


67 


.979 


.886 


66 


.988 


.873 


89 


.035 


.999 



.560 87 .073 .998 

85 .138 .997 

84 .182 .995 

83 .235 .993 

82 .296 .991 

81 .364 .987 

SO .438 .983 



79 .515 .978 
78 .593 .972 
77 .669 .965 
76 .739 .957 
75 .802 .948 
74 .856 .938 
73 .899 .927 



72 .933 .916 

71 .957 .904 

70 .974 .892 

69 .985 .880 

,580 92 .031 .999 

89 .093 .998 

88 .127 .997 



87 .169 .996 
86 .220 .994 
85 .279 .991 
84 .345 .988 
83 .418 ,985 
82 .495 .980 
81 .573 .974 



80 .649 .968 
79 .721 .960 
78 .786 .951 
77 .842 .942 
76 .888 .932 
75 .924 .921 
74 .950 .910 



73 .969 .898 

72 .982 .886 

71 .990 .874 

.600 94 .041 .999 

92 .084 .998 

91 .116 .997 

90 .156 .996 



89 .205 .994 

88 .262 .992 

87 .327 .989 

86 .398 .986 

85 .474 .981 

84 .552 .976 

83 .629 .970 



82 .702 .963 
81 .769 .955 
80 .827 .946 
79 .876 .936 
78 .914 .926 
77 .943 .915 
76 .964 .904 



75 .978 .892 

74 .988 .881 

.650 101 .035 .999 

99 .076 .998 

97 .145 .997 

96 .193 .995 

95 .249 .993 



.650 94 


.314 


.990 


.800 


107 


.873 


.953 


93 


.386 


.987 




106 


.914 


.945 


92 


.462 


.983 




105 


.944 


.937 


91 


.540 


.978 




104 


.965 


.928 


90 


.618 


.972 




103 


.979 


.919 


89 


.692 


.966 




102 


.988 


.91 1 


88 


.760 


.958 


.850 


125 


.061 


.999 


87 


.819 


.950 




124 


.100 


.998 


86 


.869 


.941 




123 


.153 


.997 


85 


.908 


.931 




122 


.222 


.996 


84 


.939 


.921 




121 


.304 


.993 


83 


.961 


.91 1 




120 


.396 


.990 


82 


.976 


.901 




1 19 


.495 


.987 


81 


.986 


.890 




1 18 


.592 


.982 


.700 107 


.043 


.999 




1 17 


.684 


.976 


105 


.094 


.998 




1 16 


.765 


.970 


104 


.131 


.997 




115 


.853 


.963 


103 


.178 


.996 




1 14 


.887 


.956 


102 


.234 


.994 




1 13 


.927 


.949 


101 


.299 


.992 




112 


.955 


.941 


100 


.371 


.988 




1 1 1 


.973 


.932 


99 


.449 


.985 




1 10 


.985 


.924 


98 


.529 


.980 


.900 


131 


.056 


.999 


97 


.609 


.975 




129 


.171 


.997 


96 


.685 


.968 




128 


.260 


.995 


95 


.754 


.961 




127 


.365 


.993 


94 


.815 


.954 




126 


.480 


.989 


93 


.865 


.945 




125 


.595 


.985 


92 


.906 


.936 




124 


.700 


.979 


91 


.937 


.927 




123 


.790 


.973 


90 


.959 


.917 




122 


.861 


.966 


89 


.975 


.908 




121 


.913 


.959 


88 


.985 


.898 




120 


.949 


.952 


.750 114 


.033 


.999 




1 19 


.971 


.944 


1 1 1 


.1 13 


.998 




1 18 


.985 


.936 


110 


.158 


.997 


.950 


136 


.079 


.999 


109 


.214 


.995 




135 


.17? 


.998 


108 


.280 


.993 




134 


.303 


.996 


107 


.354 


.990 




133 


.458 


.992 


106 


.434 


.986 




132 


.61 3 


.988 


105 


.518 


.982 




131 


.747 


.982 


104 


.601 


.977 




130 


.848 


.976 


103 


.680 


.971 




129 


.917 


.969 


102 


.752 


.964 




128 


.958 


.962 


101 


.814 


.957 




127 


.981 


.955 


100 


.866 


.949 










99 


.907 


.941 










98 


.938 


.932 










97 


.961 


.923 










96 


.976 


.914 


POPULATION 


145 


95 


.986 


.905 










.800 120 


.036 


.999 


.002 


1 


.288 


.999 


1 18 


.090 


.998 


.003 


1 


.451 


.998 


1 17 


.133 


.997 


.004 


1 


.573 


.995 


1 16 


.188 


.996 


.005 


2 


.190 


.999 


115 


.255 


.994 




1 


.71? 


.988 


1 14 


.333 


.992 


.006 


2 


.259 


.999 


113 


.418 


.988 




1 


.84? 


.973 


112 


.507 


.984 


.007 


2 


.355 


.998 


1 1 1 


.595 


.979 




1 


.945 


.935 


no 


.679 


.974 


.008 


3 


.127 


.999 


109 


.755 


.967 




2 


.417 


.996 


108 


.820 


.960 


.009 


3 


.167 


.999 



148 



FINITE QUEUING TABLES 



M 



POPULATION 145 - 1 U5 

F X M D F 



.009 
.010 

.01 1 

.012 



,013 



.om 



.015 



,016 



.017 



.018 



.019 



,020 



.021 



.022 



.023 



.024 



.025 



.026 



.028 



503 .994 
213 .999 
593 .990 
264 .998 
683 .985 
112 .999 
320 .997 



771 .976 
141 .999 
380 .996 
852 .961 
175 .999 
4au .994 
920 .937 



212 .998 
510 .992 
966 .901 
966 .901 
096 .999 
252 .998 
579 .988 



990 .857 
99C .857 
113 .999 
297 .997 
649 .984 
143 .999 
34U .996 



719 .977 
171 .999 
394 .995 
786 .968 
081 .999 
202 .998 
448 .993 



848 .955 
099 .999 



236 
503 

901 



.998 
.991 
.938 



1 1 3 ,999 
272 .997 



560 .938 
943 .915 
140 .999 
311 .996 
619 .984 
971 .838 
16U .999 



353 .995 
677 .979 
987 .857 
082 .999 
190 .998 
397 .994 
735 .972 



093 .999 
219 .998 
443 .992 
790 .964 
134 .999 
283 .996 
541 .987 



.023 
.030 



.032 



.034 



.036 



.038 



.040 



.042 



.044 



.046 



.048 



.050 



.052 



4 .886 .939 
8 .081 .999 

7 .177 .998 
6 .355 .994 

5 .642 .980 
4 .953 .903 

8 .110 .999 



,052 



,054 



.228 .997 

.435 .991 

.742 .969 

.986 .858 

.067 .999 

.287 .996 

.521 .987 



5 .834 .951 
9 .091 .999 

8 .186 .998 
7 .353 .994 

6 .611 .981 
5 .908 .927 

9 .119 .999 



8 .234 .997 

7 .425 .991 
6 .702 .972 
5 .958 .895 

10 .075 .999 

9 .153 .998 

8 .288 .995 



7 .503 .987 

6 .787 .959 
5 .985 .858 
.098 .999 
9 .192 .996 

8 .549 .994 

7 .584 .982 



6 

1 1 
9 

8 

7 
6 



.863 .941 
.062 .999 
.237 .997 
.415 .991 
.666 .974 
.921 .918 



11 .031 .999 



10 .158 .996 
9 .287 .995 
8 .485 .987 
7 .746 .964 
6 .961 .889 

11 .104 .999 
10 .195 .997 



9 


.343 


.993 


a 


.559 


.983 


7 


.320 


.950 


6 


.984 


.858 


12 


.067 


.999 


1 1 


.130 


.998 


10 


.237 


.996 


9 


.404 


.991 


3 


.635 


.976 


7 


.882 


.932 


12 


.086 


.999 


1 1 


.161 


.998 


10 


.284 


.995 


9 


.469 


.988 



.056 



.058 



,060 



.062 



,066 



.068 



,070 



8 .710 .968 

7 .930 .91 1 
13 .056 .999 
11 .197 .997 
10 .336 .993 

9 .537 .983 

8 .780 .957 



7 


.963 


.885 


1 3 


.071 


.999 


12 


.134 


.998 


1 1 


.237 


.996 


10 


.393 


.991 


9 


.607 


.978 


8 


.844 


.943 


7 


.9a3 


.858 


13 


.090 


.999 


12 


. 1 64 


.998 


1 1 


.281 


.995 


10 


.453 


.988 


9 


.677 


.971 


a 


.896 


.925 



14 .059 .999 

12 .197 .997 

1 1 .329 .993 

10 .516 .984 

9 .744 .962 

8 .937 .905 

14 .075 .999 



13 .136 .993 
12 .235 .996 
11 .382 .991 
.561 .979 
.807 .950 
.965 .882 



10 
9 

8 



.064 14 .093 .999 



.075 



13 


.165 


.998 


12 


.276 


.995 


11 


.438 


.988 


10 


.647 


.973 


9 


.852 


.936 


8 


.982 


.859 


15 


.062 


.999 


13 


.197 


.997 


12 


.322 


.993 


1 1 


.497 


.985 


10 


.71 1 


.965 


9 


.907 


.919 


15 


.077 


.999 


14 


.138 


.993 


13 


.232 


.996 


12 


.371 


.991 


1 1 


.558 


.980 


10 


.772 


.956 


9 


.942 


.901 


16 


.052 


.999 


14 


.165 


.997 


13 


.272 


.995 


12 


.424 


.989 


1 1 


.620 


.975 


10 


.828 


.944 


9 


.966 


.880 


17 


.048 


.999 


15 


.151 


.998 



.075 



.080 



.085 



.090 



.095 



,100 



,105 



110 



14 .2^7 .995 

13 .Sa"^ .990 

12 .565 .979 

11 .760 .955 

10 .931 .906 

17 .081 .999 

16 .1 50 .998 



15 .226 .996 

14 .351 .991 

13 .516 .982 

12 .710 .964 

11 .88-' .925 

10 .981 .859 

18 .074 .999 



17 


.127 


.998 


16 


.206 


.996 


15 


.32^^ 


.992 


14 


.471 


.985 


13 


.654 


.970 


12 


.85^ 


.940 


1 1 


.959 


.685 


19 


.069 


.999 


18 


.116 


.998 


17 


.18« 


.997 


16 


.29? 


.993 


15 


.451 


.987 


14 


.60"« 


.975 


13 


.784 


.951 



12 .927 .907 

11 .989 .641 

20 .0b3 .999 

19 .lO-' .998 

18 .17P .997 

17 .267 .994 

16 .39'^ .989 



15 .555 .979 

14 .75? .959 

13 .867 .923 

12 .975 .867 

21 .050 .999 

19 .150 ,997 

18 .2au .995 



17 


.36? 


.990 


16 


.510 


.982 


15 


.661 


.966 


14 


.84-« 


.936 


13 


.953 


.889 


22 


.054 


.999 


20 


.145 


.997 


19 


.224 


.995 


18 


.351 


.991 


17 


.47^^ 


.984 


16 


.65^ 


.971 


15 


.796 


.947 


14 


.923 


.907 


13 


.984 


.852 


23 


.04° 


.999 


21 


.1 33 


.998 


20 


.205 


.996 


19 


.304 


.992 


18 


.43? 


.986 


17 


.566 


.975 


16 


.740 


.955 



149 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 145 - lUS 
F X M D F 



110 15 .887 .922 
m .969 .873 



1 15 



24 .045 .999 

22 .122 .998 

21 .188 .996 

20 .279 .993 

19 .398 .988 



.145 27 .1 12 .998 

26 .168 .996 

25 .243 .994 

24 .340 .990 

23 .458 .983 

22 .593 .973 

21 .731 .956 



.170 25 .667 .964 

24 .788 .945 

23 .887 .920 

22 .953 .888 

21 .985 .851 

.180 35 .039 .999 

"^3 .093 .998 



.220 34 .453 .982 

33 .560 .974 

32 .670 .962 

51 .775 .947 

30 .86'^ .927 

29 .928 .903 

28 .968 .875 



18 .543 .978 

17 .701 .962 

16 .848 .934 

15 .948 .892 

,120 25 .042 .999 

23 .112 .998 

22 .172 .997 



21 .256 .994 
20 .366 .989 
19 .502 .981 
18 .655 .967 
17 .805 .944 
16 .920 .908 
15 .980 .860 



.150 



20 .354 .931 
19 .940 .896 
18 .933 .854 
30 .041 .999 
28 .103 .998 
27 .154 .997 
26 .224 .995 



25 .314 .991 

24 .425 .985 

23 .554 .976 

22 .691 .961 

21 .918 .940 

20 .915 .909 

19 .972 .870 



32 .136 .997 
31 .195 .995 



190 



30 


.270 


.992 


29 


.364 


.988 


28 


.473 


.981 


27 


.594 


.971 


26 


.716 


.957 


25 


.827 


.936 


24 


.912 


.910 


23 


.965 


.878 


22 


.989 


.842 


36 


.051 


.999 


34 


.1 15 


.998 



33 .166 .996 



27 .989 .846 

i230 43 .059 .999 

41 .085 .990 

40 .122 .997 

39 .171 .996 

38 .253 .994 

37 .309 .990 



36 .390 .985 

35 .499 .979 

34 .606 .969 

33 .713 .956 

32 .810 .940 

31 .880 .919 

30 .94-^ .895 



125 



26 .038 .999 

24 .102 .998 

23 .158 .997 

22 .235 .995 

21 .337 .991 

20 .465 .984 

19 .611 .972 



.155 



31 .038 .999 
29 .094 ,998 
28 .142 .997 
27 .206 .995 
?6 .290 .992 
25 .395 .987 
24 .518 .979 



32 .232 .994 

31 .314 .990 

30 .413 .985 

29 .525 .977 

20 .645 .966 

27 .761 .950 

26 .860 .928 



.240 



29 .976 .868 

45 .05? .999 

42 .104 .998 

41 .146 .997 

40 .200 .995 

39 .268 .992 

38 .349 .988 



130 



18 


.761 


.952 


23 


.651 


.966 


25 


.932 


.901 


37 


.442 


.983 


17 


.887 


.921 


22 


.781 


.947 


24 


.974 


.869 


36 


.545 


.975 


16 


.964 


.878 


21 


.887 


.920 .200 38 


.043 


.999 


35 


.650 


.964 


26 


.059 


.999 


20 


.956 


.885 


36 


.097 


.993 


34 


.752 


.950 


25 


.094 


.998 


19 


.988 


.844 


35 


.141 


.997 


33 


.840 


.933 


24 


.145 


.997 .160 31 


.056 


.999 


34 


.193 


.995 


32 


.909 


.912 


23 


.216 


.995 


30 


.037 


.996 


33 


.271 


.992 


31 


.955 


.887 


22 


.31 1 


.992 


29 


.130 


.997 


32 


.360 


.988 


30 


.981 


.861 


21 


.430 


.986 


28 


.190 


.996 


31 


.463 


.982 .250 46 


.040 


.999 


20 


.570 


.975 


27 


.268 


.993 


30 


.576 


.973 


44 


.087 


.998 


19 


.718 


.959 


26 


.366 


.988 


29 


.692 


.960 


43 


.124 


.997 


18 


.851 


.932 


25 


.433 


.981 


28 


.300 


.942 


42 


.172 


.996 


17 


.943 


.894 


?4 


.612 


.970 


27 


.887 


.919 


41 


.252 


.993 


16 


.987 


.847 


23 


.743 


.953 


26 


.947 


.892 


40 


.305 


.990 



135 



27 .054 .999 

25 .133 .997 

24 .199 .996 

23 .286 .992 

22 .398 .987 

21 .530 .978 

20 .675 .964 



.165 



22 .856 .930 
21 .937 .898 
20 .980 .860 
32 .051 .999 
30 .120 .998 
29 .175 .996 
28 .246 .994 



,210 



25 .980 .860 

40 .036 .999 

38 .062 .998 

37 .119 .997 

36 .169 .996 

35 .233 .994 

34 .312 .990 



39 .391 .986 

38 .487 .979 

37 .589 .971 

36 .69? .959 

35 .787 .944 

34 .866 .926 

33 .926 .904 



140 



19 


.812 


.941 


18 


.917 


.903 


17 


.975 


.866 


28 


.049 


.999 


26 


.122 


.998 


25 


.183 


.996 



24 .264 .993 



27 .340 .990 
26 .450 .983 
25 .575 .974 
24 .704 .959 
23 .823 .936 
22 .914 ,909 
?1 .968 .874 



33 .406 .985 

32 .512 .978 

31 .625 .968 

30 .736 .953 

29 .834 .934 

28 .910 .911 

27 .959 .883 



.260 



32 .96U .880 

31 .985 .854 

48 .053 .999 

45 .105 .998 

44 .147 .996 

43 .200 .995 

42 .265 .992 



145 



23 .368 .939 
22 .493 .931 
21 .633 .969 
20 .772 .949 
19 .897 .920 
18 .960 .882 
29 .045 .999 



.170 



33 .047 .999 
31 .110 .998 
30 .161 .996 
29 .229 ,994 
28 .315 .991 
27 .420 .985 
26 .540 ,977 



.220 



26 .965 .853 

41 .046 .999 

39 .101 .998 

38 .144 .997 

37 .200 .995 

36 .270 .992 

35 .355 .988 



41 .34-' .983 

40 .45? .983 

39 .550 .976 

38 .651 .966 

37 .750 .954 

36 .610 .930 

j5 .889 .919 



150 



FINITE QUEUING TABLES 
X M D F X 



POPULATION ms - m5 

F X M D F 



,260 34 .9U0 .897 

33 .972 .873 

32 .989 .848 

,270 49 .042 .999 

47 .089 .998 

46 .125 .997 

45 .172 .996 



.300 38 .975 .872 

37 .989 .850 

.310 55 .044 .999 

53 .090 .998 

52 .125 .997 

51 .169 .996 

50 .224 ,994 



,340 46 .877 .925 



.360 



.420 64 .355 .987 



45 


.924 


.90P 


63 


.451 


.983 


44 


.957 


.890 


62 


.51 1 


.977 


43 


.978 


.871 


61 


.593 


.970 


42 


.990 


.851 


60 


.674 


.962 


63 


.036 


.999 


59 


.749 


.953 


61 


.075 


.998 


58 


.816 


.941 



44 .230 .993 

43 .300 .990 

42 .383 .986 

41 .475 .980 

40 .573 .972 

39 .672 .961 

38 .765 .948 



49 .290 .991 

48 .366 .987 

47 .451 .981 

46 .543 .975 

45 .635 .966 

44 .725 .954 

43 .806 .941 



59 .141 .996 

58 .188 .995 

57 .244 .993 

56 .309 .990 

55 .384 .986 

54 .466 .980 

53 .552 .974 



57 .87? .929 

56 .916 .915 

55 .948 .901 

54 .970 .885 

53 .984 .870 

,440 75 .053 .999 

72 .095 .998 



,280 



37 ,845 .932 

36 .908 .912 

35 .952 .891 

34 .978 .867 

51 .035 .999 

49 .075 .998 

47 .147 .996 



.320 



42 .373 .925 
41 .924 .907 
,959 .887 
,980 .867 
57 .036 .999 
55 .076 .998 
53 .145 .996 



40 
39 



52 


.638 


.965 


51 


.722 


.955 


50 


.797 


.943 


49 


.861 


.930 


48 


.91 1 


.914 


47 


.947 


.897 



46 .971 .880 



71 .120 .997 

70 .170 .995 

69 .220 .994 

68 .279 .991 

67 .346 .988 

66 .420 .984 

65 .490 .978 



46 .199 .995 

45 .262 .992 

44 .337 .988 

43 .423 .984 

42 .516 .977 

41 ,614 .968 

40 ,709 .957 



52 .194 .995 
51 .254 .992 
50 .324 ,989 
49 .403 .985 
48 .490 ,979 
47 .581 .971 
46 .672 .961 



45 .986 ,861 

.380 66 .036 .999 

64 .074 .998 

62 .139 .997 

61 .184 .995 

60 .238 .993 

59 .302 .990 



64 .579 .972 

63 .659 .964 

62 ,734 ,955 

61 ,801 ,945 

60 ,859 ,933 

59 ,905 ,920 

58 ,959 .906 



,290 



39 ,797 .942 
38 ,870 ,925 
37 ,925 ,906 
36 ,961 .884 
35 ,983 .861 
52 ,043 .999 
50 ,090 .998 



49 ,125 .997 
48 ,171 .996 
47 ,227 ,993 
46 ,295 ,990 
45 ,374 ,986 
44 ,463 ,981 
43 ,557 .973 



,330 



45 .757 .950 
44 .832 ,936 
43 .893 ,919 
42 ,937 ,901 
41 .967 ,882 
40 .984 ,861 
59 ,030 .999 



56 ,090 ,998 
55 ,124 ,997 
54 ,167 ,996 
53 ,221 .994 
52 ,284 ,991 
51 .358 ,987 
50 .440 ,982 



.400 



58 


,374 


,986 


57 


,964 


,892 


57 


,454 


,981 


56 


,980 


,877 


56 


,538 


,975 


55 


,989 


,862 


55 


,623 


,967 ,460 78 


,03? 


,999 


54 


,705 


,958 


75 


,09? 


,998 


53 


,780 


,947 


74 


,124 


.997 


52 


,845 


,934 


73 


,165 


.996 


51 


,898 


,920 


72 


,214 


.994 


50 


,937 


,904 


71 


,271 


.991 


49 


,964 


,888 


70 


,336 


,988 


48 


,981 


,870 


69 


,409 


,984 


69 


,035 


,999 


68 


,486 


,979 


67 


,072 


,998 


67 


,565 


,973 



65 ,136 .997 



66 .644 .966 



42 ,653 ,964 

41 ,744 ,951 

40 ,825 .937 

39 ,891 .919 

38 ,938 ,899 

37 ,969 ,878 

36 ,986 .855 



49 .528 ,976 
48 ,619 ,967 
47 ,707 ,957 
46 ,787 ,945 
45 ,856 ,930 
44 ,910 ,914 
43 .948 ,896 



64 


,179 


,995 


65 


,719 


,957 


63 


,232 


,993 


64 


,787 


,948 


62 


,294 


,990 


63 


,846 


.937 


61 


,365 


,987 


62 


,894 


.924 


60 


,442 


,982 


61 


,951 


.91 1 


59 


,524 


,976 


60 


,957 


.898 


58 


,608 


,969 


59 


,97S 


.884 



.300 54 ,035 .999 

52 ,076 ,998 

50 .146 .996 

49 .197 .995 

48 .258 .992 

47 .330 ,989 

46 ,413 .984 



.340 



42 .973 ,876 
41 ,987 ,856 
60 .036 ,999 
58 .076 ,998 
56 .144 .996 
55 .191 ,995 
54 ,249 ,992 



57 ,689 ,960 

56 ,764 ,950 

55 ,830 ,938 

54 ,885 .925 

=^3 ,926 ,910 

52 ,956 ,894 

51 ,976 ,878 



.480 



58 ,987 .869 

81 ,051 .999 

78 .088 .998 

77 ,120 .997 

76 ,159 ,996 

75 ,207 .994 

74 ,263 .992 



45 


,503 


.978 


44 


.597 


,970 


43 


,690 


,959 


42 


,777 


.946 


41 


,851 


.931 


40 


,909 


.913 



39 ,949 .893 



53 .316 .989 
52 .393 ,985 
51 .478 ,980 
50 .566 ,972 
49 .655 ,964 
48 ,739 ,953 
47 ,814 ,940 



.420 



50 


,988 


.862 


73 


.32-7 


.989 


72 


.034 


.999 


72 


.397 


.985 


69 


.098 


.998 


71 


.473 


.980 


63 


.132 


.997 


70 


.55? 


.975 


67 


.175 


.995 


69 


.650 


.968 


66 


.226 


.993 


68 


.705 


.960 


65 


.287 


.991 


67 


.774 


.950 



151 



FINITE QUEUING TABLES 
X M n F X 



POPULATION liJS - 150 
F X M F 



.480 66 .834 .940 



,500 



65 
64 



883 .929 

922 .916 

63 .951 .903 

62 .970 .890 

61 .983 .876 

84 .029 .999 



81 .085 .998 

80 .115 .997 

79 .154 .996 

78 .200 .994 

77 .255 .992 

76 .317 .989 

75 .387 .986 



74 .461 .981 

73 .539 .976 

72 .617 .969 

71 .692 .962 

70 .761 .953 

69 .822 .943 

68 .873 .932 



.540 70 .973 .893 
69 .984 .381 

.560 92 .035 .999 
90 .072 .998 
88 .135 .997 
87 .178 .995 
86 .228 .994 



85 .287 .991 
84 .353 .986 
83 .425 .984 
82 .501 .980 
Tl .578 .974 
80 .653 .967 
79 .723 .960 



78 .787 .951 
77 .842 .942 
76 .838 .932 
75 .924 .921 
74 .950 .910 
73 .969 .898 
72 .982 .886 



.650 102 .0d7 .998 



.800 117 .420 .988 



101 


.120 


.997 


1 16 


.507 


.984 


100 


.lb1 


.996 


1 15 


.594 


.980 


99 


.211 


.995 


1 14 


.677 


.974 


98 


.269 


.992 


1 13 


.751 


.968 


97 


.335 


.990 


1 12 


.816 


.962 


96 


.407 


.986 


1 1 1 


.660 


.954 


95 


.483 


.982 


1 10 


.910 


.947 


94 


.560 


.977 


1C9 


.941 


.939 


93 


.636 


.971 


108 


.96 3 


.930 


92 


.707 


.965 


1C7 


.978 


.922 


91 


.772 


.957 


106 


.987 


.914 


90 


.829 


.949 


.850 130 


.044 


.999 


89 


.876 


.940 


128 


.117 


.998 


88 


.913 


.931 


127 


.174 


.997 


87 


.942 


.922 


126 


.245 


.995 


86 


.9b3 


.912 


125 


.329 


.993 


85 


.977 


.901 


124 


.42? 


.990 


84 


.9d6 


.891 


123 


.519 


.986 


700 1 1 1 


.038 


.999 


122 


.614 


.981 


109 


.082 


.998 


121 


.703 


.976 



,520 



67 .913 .921 

66 .944 .908 

65 .966 .895 

64 .980 .882 

63 .989 .869 

86 .040 .999 

84 .081 .998 



.580 



71 .990 .874 
95 .032 .999 
92 .094 .998 
91 .128 .997 
90 .170 .99o 
89 .219 .994 
88 .277 .992 



107 .158 .996 

106 .209 .995 

105 .269 .993 

104 .337 .990 

103 .412 .987 

102 .490 .983 

101 .569 .978 



120 .780 .970 

119 .844 .963 

118 .894 .956 

117 .952 .948 

116 .958 .941 

115 .975 .933 

114 .986 .925 



83 .110 .997 

82 .148 .996 

81 .193 .995 

80 .246 .993 

79 .307 .990 

78 .376 .987 

77 .449 .982 



87 .342 .989 
86 .413 .985 
85 .488 .981 
84 .565 .975 
83 .640 .969 
82 .712 .962 
81 .776 .954 



100 .646 .972 

99 .718 .966 

98 .782 .959 

97 .338 .951 

96 .883 .943 

95 .919 .934 

94 .946 .925 



.900 136 .04-^ .999 

134 .1 59 .998 

133 .217 .996 

132 .314 .994 

131 .424 .991 

130 .558 .987 

129 .647 ,983 



76 .526 .977 

75 .603 .971 

74 .678 .964 

73 .748 .955 

72 .810 .946 

71 .862 .936 

70 .905 .925 



80 .833 .945 
79 .880 .935 
78 .917 .925 
77 .945 .914 
76 .965 .903 
75 .979 .891 
74 .988 .380 



93 .966 .916 

92 .979 .906 

91 .988 .896 

.750 117 .049 .999 

115 .108 .998 

114 .151 .997 

113 .204 .995 



128 .744 .977 

127 .824 .971 

126 .886 .964 

125 .950 .957 

124 .959 .950 

123 .977 .942 

122 .938 .935 



.540 



69 .937 .913 

68 .960 .900 

67 .976 .838 

66 .987 .875 

89 .038 .999 

87 .077 .993 

85 .141 .997 



.600 98 .030 .999 

95 .088 .998 

94 .121 .997 

93 .161 .996 

92 .210 .994 

91 .267 .992 

90 .331 .989 



112 .267 .993 

111 .338 .991 

110 .416 .987 

109 .498 .984 

108 .580 .979 

107 .659 .973 

106 .732 .967 



.950 141 .067 .999 

140 .150 .993 

139 .271 .996 

138 .420 .994 

137 .574 .989 

136 .713 .984 

135 .82? .978 



84 .185 .995 

83 .237 .993 

.297 .991 

.365 .987 

80 .437 .983 

79 .513 .978 

78 .590 .972 



82 
81 



89 .401 .986 
88 .476 .982 
87 .552 .977 
86 .628 .971 
85 .700 .964 
84 .766 .956 
83 .824 .947 



105 .796 .960 

104 .850 .953 

103 .394 .945 

102 .923 .936 

101 .953 .928 

100 .971 .919 

99 .982 .910 



134 .899 .972 

133 .947 .965 

132 .975 .958 

131 .989 .951 



77 .665 .966 

76 .736 .958 

75 .798 .949 

74 .852 .939 

73 .896 .928 

72 .930 .917 

71 .955 .905 



82 


.872 


.938 


98 


.990 


.901 


POPULATION 


150 


81 


.91 1 


.926 


.800 124 


.038 


.999 








80 


.940 


.918 


122 


.094 


.998 


.002 


1 .298 


.999 


79 


.962 


.907 


121 


.138 


.997 


.003 


1 .446 


.998 


78 


.977 


.896 


120 


.193 


.996 


.004 


1 .593 


.994 


77 


.986 


.885 


1 19 


.259 


.994 


.005 


2 .201 


.999 


50 104 


.042 


.999 


118 


.336 


.992 




1 .756 


.987 



152 



FINITE QUEUING TABLES 



POPULATION 150 - 150 



.006 



.007 



.008 



.009 



.010 



.01 1 



.012 



,013 



,014 



,015 



,016 



,017 



,018 



,019 



,020 



,021 



,022 



,023 



,024 



,025 



,026 



2 


.275 


.999 


.026 


4 


.838 


.955 


.052 


1 1 


.194 


.997 .070 11 


.696 


.967 


1 


.867 


.969 


.028 


7 


.154 


.999 




10 


.332 


.994 


10 


.88-7 


.928 


2 


.355 


.997 




6 


.317 


.996 




9 


.531 


.984 


9 


.985 


.855 


1 


.963 


.920 




5 


.591 


.984 




8 


.776 


.959 .075 17 


.064 


.999 


3 


.137 


.999 




4 


.925 


.924 




7 


.962 


.889 


16 


.112 


.998 


2 


.441 


.996 


.030 


8 


.095 


.999 


.054 


13 


.071 


.999 


15 


.183 


.997 


3 


.181 


.999 




7 


.203 


.998 




12 


.133 


.996 


14 


.300 


.994 


2 


.531 


.993 




6 


.396 


.993 




1 1 


.234 


.996 


13 


.453 


.987 


3 


.231 


.999 




5 


.696 


.975 




10 


.390 


.991 


12 


.643 


.973 


2 


.624 


.989 




4 


.975 


.881 




9 


.604 


.979 


1 1 


.833 


.94? 


3 


.285 


.998 


.032 


8 


.129 


.999 




8 


.842 


.944 


10 


.965 


.882 


2 


.717 


.982 




7 


.260 


.997 




7 


.983 


.861 .080 IS 


.060 


.999 


4 


.124 


.999 




6 


.483 


.990 


.056 


13 


.090 


.999 


16 


.174 


.997 


3 


.345 


.997 




5 


.797 


.961 




12 


.163 


.996 


15 


.276 


.994 


2 


.807 


.971 


.034 


9 


.081 


.999 




1 1 


.280 


.995 


14 


.417 


.989 


4 


.156 


.999 




8 


.169 


.998 




10 


.452 


.988 


13 


.595 


.977 


3 


.409 


.995 




7 


.326 


.995 




9 


.677 


.972 


12 


.786 


.952 


2 


.886 


.952 




6 


.575 


.984 




S 


.897 


.927 


1 1 


.955 


.905 


4 


.192 


.999 




5 


.882 


.939 


.058 


1 4 


.060 


.999 .085 19 


.057 


.999 


3 


.476 


.993 


.036 


9 


.108 


.999 




12 


.198 


.997 


17 


.16? 


.997 


2 


.947 


.922 




8 


.216 


.997 




1 1 


.330 


.993 


16 


.256 


.995 


4 


.233 


.998 




7 


.398 


.992 




10 


.518 


.985 


15 


.385 


.990 


3 


.547 


.990 




6 


.669 


.976 




9 


.747 


.962 


14 


.550 


.980 


2 


.982 


.880 




5 


.944 


.908 




8 


.939 


.905 


13 


.7J6 


.960 


5 


.108 


.999 


.033 


10 


.068 


.999 


.060 


1 4 


.076 


.999 


12 


.69« 


.922 


4 


.277 


.997 




8 


.269 


.996 




13 


.1 38 


.998 


1 1 


.98? 


.860 


3 


.619 


.986 




7 


.477 


.989 




12 


.237 


.996 .090 20 


.053 


.999 


5 


.133 


.999 




6 


.761 


.965 




1 1 


.385 


.991 


18 


.15-^ 


.998 


4 


.324 


.996 




5 


.979 


.871 




10 


.585 


.980 


17 


.2 3A 


.995 


3 


.691 


.981 


.040 


10 


.091 


.999 




9 


.81 1 


.950 


16 


.356 


.991 


5 


.161 


.999 




9 


.130 


.998 




8 


.967 


.882 


15 


.509 


.983 


4 


.376 


.995 




8 


.330 


.994 


.n62 


1 4 


.095 


.999 


14 


.687 


.966 


3 


.763 


.973 




7 


.560 


.984 




13 


.167 


.998 


13 


.856 


.935 


5 


.192 


.998 




6 


.843 


.946 




12 


.280 


.995 


12 


.96^ 


.883 


4 


.430 


.994 


.042 


10 


.118 


.999 




1 1 


.443 


.988 .095 21 


.050 


.999 


3 


.829 


.961 




9 


.224 


.997 




10 


.654 


.973 


19 


.140 


.998 


6 


.093 


.999 




8 


.397 


.992 




9 


.868 


.935 


18 


.219 


.996 


5 


.225 


.998 




7 


.646 


.977 




8 


.984 


.857 


17 


.329 


.992 


4 


.486 


.992 




6 


.909 


.925 


.064 


15 


.064 


.999 


16 


.47? 


.985 


3 


.888 


.945 


.044 


1 1 


.077 


.999 




13 


.201 


.997 


15 


.640 


.971 


6 


.1 13 


.999 




10 


.150 


.996 




12 


.328 


.993 


14 


.81 1 


.946 


5 


.262 


.997 




9 


.275 


.996 




1 1 


.505 


.985 


13 


.957 


.902 


4 


.545 


.989 




8 


.469 


.989 




10 


.720 


.965 .100 22 


.0U7 


.999 


3 


.934 


.923 




7 


.730 


.967 




9 


.914 


.918 


20 


.1 50 


.998 


6 


.135 


.999 




6 


.955 


.897 


.066 


15 


.080 


.999 


19 


.203 


.996 


5 


.302 


.996 


.046 


1 1 


.099 


.999 




14 


.142 


.998 


18 


.304 


.993 


4 


.606 


.985 




10 


.188 


.998 




13 


.238 


.996 


17 


.457 


.986 


3 


.967 


.895 




9 


.332 


.994 




12 


.360 


.991 


16 


.59-7 


.975 


6 


.159 


.999 




S 


.545 


.984 




1 1 


.568 


.980 


15 


.76"= 


.954 


5 


.3US 


.995 




7 


.808 


.954 




10 


.783 


.955 


14 


.905 


.917 


4 


.667 


.980 




6 


.981 


.865 




9 


.948 


.898 


13 


.979 


.864 


3 


.986 


.864 


.048 


12 


.065 


.999 


.066 


16 


.054 


.999 .105 23 


.044 


.999 


7 


.080 


.999 




10 


.230 


.997 




14 


.171 


.997 


21 


.121 


.998 


6 


.186 


.998 




9 


.394 


.992 




13 


.280 


.995 


20 


.18« 


.996 


5 


.390 


.994 




8 


.624 


.978 




12 


.435 


.988 


19 


.28? 


.993 


4 


.727 


.974 




7 


.375 


.936 




1 1 


.632 


.974 


18 


.405 


.988 


7 


.096 


.999 


.050 


12 


.084 


.999 




10 


.839 


.942 


17 


.556 


.978 


6 


.215 


.998 




1 1 


.1 57 


.996 




9 


.971 


.877 


16 


.721 


.960 


5 


.438 


.992 




10 


.279 


.995 


.070 


16 


.068 


.999 


15 


.663 


.930 


4 


.785 


.966 




9 


.461 


.988 




15 


.120 


.998 


14 


.96? 


.883 


7 


.1 13 


.999 




3 


.702 


.970 




14 


.203 


.997 .110 24 


.04 1 


.999 


6 


.247 


.997 




7 


.927 


.914 




13 


.325 


.993 


22 


.11? 


.998 


5 


.487 


.990 


.052 


13 


.055 


.999 




12 


.492 


.985 


21 


.175 


.997 



153 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION 150 - 150 
F X M D F 



110 20 .261 .994 
19 .376 .989 
18 .518 .981 
17 .677 .966 
16 .829 .940 
15 .939 .900 
14 .988 .847 



il40 22 .592 .973 

21 .731 .957 

20 .855 .932 

19 .941 .897 

18 .984 .855 

.145 30 .042 .999 

28 .104 .996 



,170 



34 .046 .999 

32 .108 .998 

31 .157 .997 

30 .223 .995 

29 .306 .991 

28 .407 .986 

27 .524 .978 



.210 
.220 



27 .985 .856 

43 .053 .999 

40 .109 .998 

39 .154 .996 

38 .21? .995 

37 .283 .992 

36 .369 .987 



1 15 



120 



125 



24 


.065 


.999 


27 


.156 


.997 


23 


.104 


.998 


26 


.226 


.995 


22 


.162 


.997 


25 


.316 


.991 


21 


.243 


.995 


24 


.428 


.985 


20 


.349 


.990 


23 


.557 


.976 


19 


.483 


.983 


22 


.694 


.962 


18 


.635 


.970 


21 


.821 


.940 


17 


.788 


.948 


20 


.918 


.909 


16 


.910 


.914 


19 


.973 


.871 


15 


.977 


.867 .1 


150 31 


.039 


.999 


25 


.060 


.999 


29 


.097 


.998 


24 


.097 


.998 


28 


.145 


.997 


23 


.150 


.997 


27 


.210 


.995 


22 


.225 


.995 


26 


.295 


.992 


21 


.325 


.991 


25 


.401 


.987 


20 


.450 


.985 


24 


.524 


.979 


19 


.596 


.974 


23 


.658 


.966 


18 


.747 


.955 


22 


.787 


.947 


17 


.878 


.926 


21 


.892 


.920 


16 


.961 


.884 


20 


.959 


.884 


26 


.056 


.999 


19 


.989 


.843 



.180 



190 



26 .649 .966 

25 .770 .949 

24 .872 .926 

23 .943 .896 

22 .981 .861 

36 .040 .999 

34 .093 .998 



33 .136 .997 

32 .194 .995 

31 .267 .993 

.358 .989 

.465 .982 

28 .583 .973 

27 .704 .959 



30 
29 



>30 



35 .466 .981 

34 .573 .973 

33 .681 .961 

32 .783 .946 

31 .868 .926 

30 .9 51 .903 

29 .969 .876 



28 .989 .848 

44 .043 .999 

42 .094 .998 

41 .1 54 .997 

40 .185 .995 

39 .249 .993 

38 .326 .990 



26 


.815 


.940 


37 


.417 


.985 


25 


.902 


.915 


36 


.518 


.978 


24 


.959 


.885 


35 


.623 


.968 


23 


.987 


.851 


34 


.727 


.955 


38 


.034 


.999 


33 


.820 


.938 


35 


.1 18 


.998 


32 


.895 


.918 


34 


.168 


.996 


31 


.947 


.894 



24 .140 .997 
23 .209 .996 
22 .302 .992 
21 .419 .987 
20 .558 .977 
19 .707 .961 
18 .843 .936 



.155 



32 .036 .999 
30 .090 .998 
29 .135 .997 
28 .196 .996 
27 .275 .993 
26 .375 .988 
25 .492 .981 



"«3 .233 .994 

32 .315 .991 

31 .412 .985 

30 .522 .978 

29 .640 .967 

28 .754 .951 

27 .853 .931 



.240 



30 .977 .868 

46 .057 .999 

44 .081 .998 

42 .161 .996 

41 .213 .994 

40 .288 .991 

39 .371 .987 



130 



17 .940 .899 

16 .986 .852 

27 .052 .999 

25 .130 .998 

24 .194 .996 

23 .280 .993 

22 .391 .988 



.160 



24 .622 .970 
23 .752 .953 
22 .864 .929 
21 .942 .897 
20 .982 .856 
32 .054 .999 
30 .125 .998 



.200 



26 .926 .905 

25 .970 .875 

39 .046 .999 

37 .102 .998 

36 .146 .997 

35 .203 .995 

34 .276 .992 



38 .466 .981 

37 .568 .973 

36 .671 .962 

35 .769 .948 

34 .853 .931 

33 .917 .910 

32 .959 .886 



135 



21 .522 .980 

20 .667 .966 

19 .807 .944 

18 .915 .91 1 

17 .975 .869 

28 .049 .999 

26 .121 .998 



29 .182 .996 
28 .257 .993 
27 .350 .989 
26 .462 .983 
25 .588 .973 
24 .717 .958 
23 .834 .936 



33 .364 .988 

32 .466 .982 

31 .578 .973 

30 .692 .960 

29 .798 .943 

28 .885 .921 

27 .945 .895 



.250 



31 .96"< .860 

48 .051 .999 

45 .100 .998 

44 .140 .997 

43 .191 .995 

42 .254 .993 

41 .350 .989 



25 .180 .996 

24 .261 .994 

23 .364 .989 

22 .489 .982 

21 .629 .970 

20 .769 .951 

19 .886 .922 



,165 



22 .921 .908 
21 .972 .872 
33 .050 .999 
31 .116 .998 
30 .169 .996 
29 .239 .994 

23 .328 .990 



26 .979 .865 
.210 41 .039 .999 
39 .088 .998 
38 .126 .997 
37 .177 .996 
36 .242 .993 
35 .321 .990 



40 .418 .984 

39 .514 .978 

38 .616 .968 

37 .716 .957 

36 .806 .941 

35 .881 .923 

34 .955 .902 



140 



18 .960 .884 
29 .045 .999 
27 .112 .998 
26 .168 .997 
25 .243 .994 
24 .339 .990 
23 .458 .984 



27 .434 .985 
26 .555 .976 
25 .683 .962 
24 .802 .943 
23 .898 .917 
22 .959 .885 
21 .988 .847 



34 .415 .985 

33 .520 .978 

32 .631 .967 

31 .740 .953 

30 .836 .935 

29 .910 .91? 

28 .959 .885 



,260 



33 .969 .878 

32 .98°- .853 

49 .040 .999 

47 .086 .998 

46 .121 .997 

45 .167 .996 

44 .223 .994 



154 



FINITE QUEUING TABLES 
X M D F X 



.260 



,270 



■ 280 



,290 



,300 



43 


.292 


.991 


42 


.373 


.987 


41 


.464 


.981 


40 


.562 


.974 


39 


.662 


.963 


38 


.756 


.950 


37 


.839 


.934 


36 


.904 


.915 


35 


.949 


.894 


34 


.977 


.870 


51 


.034 


.999 


48 


.105 


.998 


47 


.145 


.997 


46 


.196 


.995 


45 


.258 


.992 


44 


.333 


.989 


43 


.418 


.984 


42 


.511 


.978 


41 


.608 


.969 


40 


.705 


.958 


39 


.793 


.944 


38 


.867 


.927 


37 


.923 


.908 


36 


.960 


.886 


35 


.982 


.863 


52 


.043 


.999 


50 


.090 


.998 


49 


.126 


.997 


48 


.171 


.996 


47 


.228 


.994 


46 


.296 


.991 


45 


.374 


.987 


44 


.462 


.981 


43 


.557 


.974 


42 


.653 


.964 


41 


.744 


.952 


40 


.825 


.938 


39 


.891 


.920 


38 


.939 


.900 


37 


.969 


.879 


36 


.987 


.856 


54 


.037 


.999 


52 


.078 


.998 


50 


.149 


.996 


49 


.200 


.995 


48 


.262 


.992 


47 


.334 


.989 


46 


.417 


.984 


45 


.507 


.978 


44 


.601 


.970 


43 


.694 


.959 


42 


.780 


.946 


41 


.854 


.931 


40 


.91 1 


.913 


39 


.951 


.893 


38 


.976 


.872 


37 


.990 


.850 


56 


.031 


.999 


53 


.094 


.998 


52 


.130 


.997 


51 


.175 


.995 


50 


.231 


.993 


49 


.298 


.991 



,300 



.310 



,320 



,330 



.340 



M 


D 


F 


X M 


D 


F 


48 


.375 


.987 .340 58 


.136 


.997 


47 


.460 


.981 


57 


.181 


.995 


46 


.551 


.974 


56 


.235 


.993 


45 


.644 


.965 


55 


.300 


.990 


44 


.733 


.954 


54 


.'373 


.986 


43 


.813 


.940 


53 


.455 


.981 


42 


.879 


.924 


52 


.541 


.975 


41 


.928 


.906 


51 


.629 


.967 


40 


.962 


.887 


50 


.713 


.957 


39 


.982 


.866 


49 


.791 


.945 


57 


.039 


.999 


48 


.856 


.931 


55 


.081 


.998 


47 


.908 


.916 


54 


.1 13 


.997 


46 


.946 


.899 


53 


.153 


.996 


45 


.971 


.881 


52 


.203 


.994 


44 


.986 


.862 


51 


.264 


.992 


■560 65 


.036 


.999 


50 


.335 


.989 


63 


.074 


.998 


49 


.416 


.984 


61 


.1 38 


.997 


43 


.503 


.978 


60 


.183 


.995 


47 


.595 


.970 


59 


.237 


.993 


46 


.685 


.961 


58 


.300 


.990 


45 


.769 


.948 


57 


.372 


.987 


44 


.842 


.934 


56 


.452 


.982 


43 


.900 


.918 


55 


.536 


.976 


42 


.942 


.900 


54 


.621 


.968 


41 


.970 


.880 


53 


.704 


.958 


40 


.986 


.859 


^2 


.780 


.947 


59 


.033 


.999 


51 


.846 


.934 


56 


.097 


.998 


50 


.899 


.920 


55 


.133 


.997 


49 


.938 


.904 


54 


.178 


.995 


48 


.965 


.887 


53 


.234 


.993 


47 


.982 


.870 


52 


.299 


.990 .380 68 


.037 


.999 


51 


.374 


.986 


66 


.075 


.998 


50 


.458 


.981 


64 


.139 


.997 


49 


.546 


.975 


63 


.184 


.995 


48 


.636 


.966 


62 


.237 


.993 


47 


.723 


.956 


61 


.300 


.990 


46 


.801 


.943 


60 


.371 


.987 


45 


.867 


.928 


59 


.448 


.982 


44 


.918 


.911 


58 


.531 


.976 


43 


.954 


.893 


57 


.614 


.969 


42 


.977 


.874 


56 


.696 


.960 


41 


.989 


.854 


55 


.771 


.949 


60 


.041 


.999 


54 


.836 


.937 


58 


.084 


.998 


53 


.890 


.923 


57 


.1 16 


.997 


52 


.931 


.909 


56 


.156 


.996 


51 


.959 


.893 


55 


.206 


.994 


50 


.978 


.876 


54 


.266 


.992 


49 


.989 


.859 


53 


.336 


.989 .400 71 


.038 


.999 


52 


.414 


.984 


69 


.076 


.998 


51 


.499 


.978 


67 


.140 


.997 


50 


.588 


.971 


66 


.184 


.995 


49 


.676 


.962 


65 


.237 


.993 


48 


.758 


.950 


64 


.299 


.990 


47 


.830 


.937 


63 


.369 


.987 


46 


.889 


.922 


62 


.445 


.982 


45 


.933 


.905 


61 


.526 


.976 


44 


.963 


.887 


60 


.608 


.969 


43 


.982 


.868 


59 


.688 


.961 


62 


.035 


.999 


58 


.762 


.951 


59 


.100 


.99fc 


•^7 


.827 


.940 



POPULATION 150 - 150 

X M F 

.400 56 .881 .927 

55 .92"^ .913 

54 .954 .898 

53 .974 .882 

52 .986 .866 

.420 74 .C5R .999 

72 .077 .998 



70 .141 .997 

69 .185 .995 

68 .237 .993 

67 .298 .990 

66 .366 .987 

65 .441 .982 

64 .521 .977 



63 .601 .970 

62 .680 .962 

61 .754 .953 

60 .819 .942 

59 .87"? .930 

58 .916 .916 

57 .940 .902 



56 .970 .888 

55 .98^ .872 

,440 77 .059 .999 

75 .077 .998 

73 .141 .997 

72 .184 .995 

71 .256 .993 



70 .296 .990 

69 .364 .987 

68 .458 .983 

67 .516 .977 

66 .595 .971 

65 .673 .963 

64 .746 .954 



63 .81 1 .944 

62 .866 .932 

61 .909 .920 

60 .942 .907 

59 .965 .893 

58 .980 .878 

57 .990 .863 



,460 80 .059 .999 

78 .077 ,998 

76 .140 .997 

75 .18^ .995 

74 .255 .993 

73 .294 .991 

72 .361 .987 



71 .454 .983 

70 .51 1 .978 

69 .589 .972 

68 .666 .964 

67 .75R .956 

66 .80-^ .946 

65 .85fl .935 



64 .90'' .923 

63 .937 .910 

62 .961 .897 

ol .977 .883 

60 .988 .869 

.480 83 .05R .999 

81 .076 .998 



155 



FINITE QUEUING TABLES 
X M D F X 



.480 



.500 



79 


.1 3Q 


.997 


78 


.182 


.995 


77 


.233 


.993 


76 


.292 


.991 


75 


.358 


.988 


74 


.430 


.984 


73 


.506 


.979 


17. 


.584 


.973 


71 


.660 


.965 


70 


.731 


.957 


69 


.796 


.948 


68 


.851 


.937 


67 


.897 


.926 


66 


.932 


.914 


65 


.957 


.901 


64 


.974 


.888 


63 


.986 


.875 


86 


.038 


.999 


84 


.076 


.998 


62 


.138 


.997 


81 


.180 


.995 


80 


.231 


.993 


79 


.289 


.991 


78 


.355 


.988 


77 


.426 


.984 


76 


.501 


.979 


75 


.578 


.973 


74 


.654 


.966 


73 


.725 


.958 


72 


.789 


.950 


71 


.845 


.940 


70 


.891 


.929 


69 


.927 


.917 


68 


.953 


.905 


67 


.972 


.892 



.540 



.560 



M 



D 



.580 



83 .418 .985 
82 .492 .980 
81 .567 .975 
80 .642 .968 
79 .713 .961 
78 .777 .953 
77 .834 .944 



76 .881 .934 
75 .918 .923 
74 .946 .912 
73 .966 .900 
72 .980 .888 
71 .988 .876 
95 .035 .999 



92 .098 .998 
91 .132 .997 
90 .173 .996 
89 .222 .994 
88 .279 .992 
87 .343 .989 
86 .413 .985 



85 .487 .981 

84 .562 .976 

83 .637 .969 

82 .708 .962 

81 .772 .954 

80 .829 .945 

79 .876 .936 



78 .914 .926 
77 .943 .915 
76 .964 .904 
75 .978 .892 
74 .987 .861 
98 .034 .999 
95 .095 .998 



.600 



POPULATION 150 - 150 
F X M D F 



89 


.627 


.971 


.750 107 


.881 


.948 


R8 


.698 


.965 


1<^6 


.917 


.940 


87 


.763 


.957 


105 


.945 


.932 


86 


.820 


.949 


104 


.965 


.924 


85 


.868 


.940 


103 


.97 A 


.915 


84 


.907 


.930 


102 


.987 


.906 


83 


.937 


.920 


.800 128 


.041 


.999 


82 


.959 


.910 


126 


.09 8 


.998 


81 


.975 


.899 


125 


.14? 


.997 


80 


.985 


.889 


124 


.197 


.996 


108 


.033 


.999 


123 


.26"^ 


.994 


105 


.098 


.998 


122 


.330 


.992 


104 


.134 


.997 


121 


.421 


.989 


103 


.177 


.996 


120 


.507 


.985 


102 


.229 


.994 


1 19 


.593 


.980 


101 


.289 


.992 


1 18 


.674 


.975 


100 


.356 


.989 


117 


.748 


.969 


99 


.428 


.985 


1 16 


.81? 


.963 


98 


.503 


.981 


115 


.665 


.956 


97 


.579 


.976 


1 14 


.907 


.948 


96 


.653 


.970 


1 13 


.958 


.941 


95 


.722 


.964 


1 12 


.960 


.933 


94 


.784 


.957 


1 1 1 


.976 


.925 


93 


.838 


.949 


1 10 


.986 


.916 


92 


.883 


.940 


.850 134 


.054 


.999 


91 


.918 


.931 


132 


.1 54 


.993 


90 


.945 


.922 


131 


.195 


.996 


89 


.964 


.912 


130 


.269 


.995 



.700 



P8 
87 
1 15 
1 12 
1 1 1 
1 10 
109 



.978 
.987 
.033 
.102 
.140 



.902 
.892 
.999 
.998 
.997 



.187 .996 
.243 .994 



129 .355 .992 

128 .448 .989 

127 .543 .985 

126 .655 .980 

125 .72n ,975 

124 .794 .969 

123 .B5U .962 



,520 



.540 



66 


.984 


.879 


94 


.129 


.997 


89 


.037 


.999 


93 


.170 


.996 


87 


.074 


.998 


92 


.219 


.994 


85 


.136 


.997 


91 


.275 


.992 


84 


.178 


.995 


90 


.339 


.989 


83 


.228 


.994 


89 


.409 


.986 


82 


.286 


.991 


88 


.482 


.981 


81 


.351 


.988 


87 


.557 


.976 


80 


.422 


.984 


86 


.632 


.970 


79 


.497 


.980 


85 


.703 


.963 


78 


.573 


.974 


84 


.767 


.956 


77 


.648 


.967 


83 


.824 


.947 


76 


.719 


.960 


82 


.872 


.938 


75 


.783 


.951 


81 


.910 


.928 


74 


.839 


.942 


80 


.940 


.918 


73 


.686 


.931 


79 


.961 


.907 


72 


.922 


.920 


78 


.976 


.896 


71 


.949 


.908 


77 


.986 


.885 


70 


.969 


.896 


dOO 101 


.032 


.999 


69 


.982 


.884 


98 


.093 


.998 


68 


.990 


.872 


97 


.125 


.997 


92 


.036 


.999 


96 


.166 


.996 


90 


.073 


.998 


95 


.215 


.994 


88 


.134 


.997 


94 


.271 


.992 


87 


.176 


.995 


93 


.334 


.989 


86 


.226 


.994 


92 


.404 


.986 


85 


.283 


.991 


91 


.477 


.982 


84 


.347 


.988 


90 


.553 


.977 



108 .306 .992 

107 .377 .989 

106 .452 .985 

105 .530 .981 

104 .607 .976 

103 .680 .970 

102 .748 .963 



.750 



101 


.807 


.956 


100 


.858 


.949 


99 


.899 


.940 


98 


.931 


.932 


07 


.954 


.923 


96 


.971 


.914 


95 


.982 


.904 


94 


.990 


.895 


121 


.047 


.999 


1 19 


.103 


.99E 


1 18 


.143 


.997 


1 17 


.194 


.996 


1 lo 


.254 


.994 


1 15 


.323 


.991 


1 14 


.396 


.988 


1 13 


.478 


.985 


112 


.559 


.980 


1 1 1 


.633 


.975 


1 10 


.71 1 


.969 


109 


.777 


.963 


103 


.334 


.956 



122 
121 
120 
1 19 
1 18 
.900 140 
139 



.901 
.956 
.960 
.977 
.987 
.06U 
.11? 



138 .180 

137 .26« 

136 .370 

135 .481 

134 .59? 

133 .695 

132 .78"^ 



.950 



131 
130 
129 
128 
127 
146 
144 



143 
1 42 
141 
140 
139 
138 
137 



.85"^ 
.906 
.94-^ 
.967 
.98? 
.057 
.24? 



.38"^ 
.556 
.678 
.794 
.879 
.955 
.967 



.955 
.948 
.941 
.933 
.925 
.999 
.998 



.997 
.995 
.993 
.990 
.985 
.980 
.975 



.969 
.962 
.955 
.948 
.941 
.999 
.997 



.994 
.991 
.986 
.981 
.974 
.968 
.961 



156 



FINITE QUEUING TABLES 



POPULATION 150 



155 



X 


M 


D 


F 


X 


^^ 


•D 


F 


X 


M 


D 


F 


X 


M 


D 


F 


.950 


136 


.985 


.954 


.023 


6 


.180 


.998 


.046 


9 


.380 


.992 


.066 


13 


.285 


.995 












5 


.380 


.995 




8 


.607 


.980 




12 


.44P 


.988 












4 


.714 


.976 




7 


.863 


.942 




1 1 


.641 


.974 










.024 


7 


.093 


.999 


.048 


12 


.OoO 


.999 




10 


.647 


.942 












6 


.209 


.996 




1 1 


.151 


.998 




9 


.97U 


.875 












5 


.429 


.993 




10 


.269 


.996 


.068 


16 


.070 


.999 












4 


.775 


.968 




9 


.448 


.989 




15 


.124 


.998 


POPULATION 


155 


.025 


7 


.110 


.999 




8 


.688 


.972 




14 


.208 


.997 












6 


.242 


.997 




7 


.920 


.920 




13 


.353 


.993 


.002 


1 


.308 


.999 




5 


.480 


.991 


.050 


12 


.103 


.999 




12 


.502 


.985 


.003 


1 


.461 


.997 




4 


.831 


.958 




1 1 


.188 


.997 




1 1 


.707 


.967 


.004 


1 


.612 


.994 


.026 


7 


.130 


.999 




10 


.324 


.994 




10 


.696 


.926 


.005 


2 


.213 


.999 




6 


.277 


.997 




9 


.521 


.985 




9 


.987 


.852 




1 


.759 


.986 




5 


.532 


.988 




8 


.766 


.961 


.070 


16 


.067 


.999 


.006 


2 


.290 


.998 




4 


.882 


.94i. 




7 


.959 


.893 




15 


.ISO 


.998 




1 


.891 


.963 


.028 


8 


.081 


.999 


.052 


13 


.069 


.999 




14 


.246 


.996 


.007 


2 


.375 


.997 




7 


.176 


.998 




12 


.129 


.998 




13 


.384 


.991 




1 


.977 


.903 




6 


.354 


.995 




1 1 


.230 


.996 




12 


.564 


.980 


.008 


3 


.149 


.999 




5 


.641 


.981 




10 


.383 


.992 




1 1 


.769 


.957 




2 


.465 


.995 




4 


.954 


.905 




9 


.596 


.980 




10 


.954 


.908 


.009 


3 


.196 


.999 


.030 


8 


.112 


.999 




8 


.836 


.947 


.075 


17 


.083 


.999 




? 


.559 


.992 




7 


.231 


.997 




7 


.982 


.865 




16 


.14? 


.998 


.010 


3 


.249 


.998 




6 


.440 


.992 


.054 


13 


.088 


.999 




15 


.251 


.996 




2 


.656 


.988 




5 


.749 


.969 




12 


.160 


.998 




14 


.357 


.992 


.01 1 


3 


.307 


.998 




4 


.988 


.857 




1 1 


.276 


.995 




13 


.525 


.983 




2 


.752 


.979 


.032 


9 


.070 


.999 




10 


.447 


.989 




12 


.720 


.964 


.012 


4 


.136 


.999 




7 


.295 


.996 




9 


.671 


.973 




11 


.896 


.925 




3 


.370 


.996 




6 


.533 


.987 




8 


.895 


.929 




10 


.984 


.858 




2 


.841 


.965 




5 


.847 


.951 


.056 


14 


.059 


.999 


.080 


18 


.079 


.999 


.013 


4 


.171 


.999 


.034 


9 


.096 


.999 




12 


.196 


.997 




17 


.1 54 


.998 




3 


.438 


.995 




8 


.195 


.996 




1 1 


.328 


.994 




16 


.216 


.996 




2 


.917 


,941 




7 


.367 


.994 




10 


.515 


.985 




15 


.353 


.992 


.014 


4 


.21 1 


.998 




6 


.630 


.981 




9 


.745 


.963 




14 


.48Q 


.985 




3 


.509 


.992 




5 


.923 


.923 




8 


.939 


.907 




13 


.674 


.969 




2 


.967 


.904 


.036 


9 


.127 


.999 


.056 


14 


.076 


.999 




12 


.654 


.938 


.015 


5 


.097 


.999 




8 


.248 


.997 




13 


.137 


.998 




1 1 


.967 


.882 




4 


.254 


.998 




7 


.446 


.991 




12 


.237 


.996 


.085 


19 


.076 


.999 




3 


.583 


.989 




6 


.727 


.970 




1 1 


.384 


.991 




18 


.127 


.998 


.016 


5 


.121 


.999 




5 


.969 


.887 




10 


.585 


.980 




17 


.203 


.996 




4 


.302 


.997 


.038 


10 


.082 


.999 




9 


.812 


.<i51 




16 


.31 1 


.993 




3 


.658 


.984 




9 


.165 


.998 




8 


.9t)8 


.883 




15 


.456 


.986 


.017 


5 


.148 


.999 




8 


.308 


.995 


.060 


14 


.095 


.999 




14 


.651 


.973 




4 


.353 


.996 




7 


.530 


.986 




13 


.168 


.998 




13 


.81 1 


.948 




3 


.733 


.977 




6 


.817 


.955 




12 


.281 


.995 




12 


.943 


.901 


.018 


5 


.179 


.999 


.040 


10 


.109 


.999 




1 1 


.445 


.989 


.090 


20 


.07? 


.999 




4 


.408 


.994 




9 


.209 


.997 




10 


.656 


.974 




19 


.119 


.998 




3 


.805 


.967 




8 


.375 


.993 




9 


.870 


.936 




18 


.191 


.997 


.019 


6 


.087 


.999 




7 


.619 


.980 




8 


.985 


.857 




17 


.291 


.994 




5 


.213 


.998 




6 


.892 


.934 


.062 


15 


.065 


.999 




16 


.42'=; 


.988 




4 


.466 


.993 


.042 


1 1 


.071 


.999 




13 


.203 


.997 




15 


.590 


.977 




3 


.869 


.952 




10 


.140 


.998 




12 


.331 


.993 




14 


.767 


.955 


.020 


6 


.106 


.999 




9 


.260 


.996 




1 1 


.509 


.985 




13 


.91? 


.916 




5 


.250 


.998 




8 


.448 


.990 




10 


.725 


.965 




12 


.984 


.858 




4 


.526 


.990 




7 


.707 


.971 




9 


.917 


.918 


.095 


21 


.068 


.999 




3 


.922 


.932 




6 


.946 


.907 


.064 


15 


.082 


.999 




20 


.113 


.998 


.021 


6 


.128 


.999 


.044 


1 1 


.093 


.999 




14 


.144 


.998 




19 


.179 


.997 




5 


.290 


.997 




10 


.178 


.998 




13 


.242 


.996 




18 


.273 


.994 




4 


.588 


.987 




9 


.317 


.995 




12 


.385 


.991 




17 


.390 


.989 




3 


.960 


.905 




8 


.526 


.986 




1 1 


.575 


.980 




16 


.553 


.979 


.022 


6 


.153 


.999 




7 


.790 


.959 




10 


.790 


.955 




15 


.724 


.961 




5 


.334 


.996 




6 


.977 


.874 




9 


.952 


.897 




14 


.878 


.929 




4 


.651 


.982 


.046 


12 


.061 


.999 


.066 


16 


.056 


.999 




13 


.969 


.878 




3 


.983 


.873 




10 


.221 


.997 




14 


.174 


.997 


.100 


22 


.065 


.999 



157 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 15'3 - 155 
F X M D F 



100 21 .106 .998 

20 .168 .997 

19 .255 .995 

18 .372 .990 

17 .518 .982 

16 .683 .966 

15 .841 .939 



,105 



14 .949 .895 

23 .061 .999 

22 .100 .998 

21 .158 .997 

20 .239 .995 

19 .348 .991 

18 .486 .984 



.130 20 .760 .953 .160 

19 .880 .926 

18 .957 .888 

.135 29 .044 .999 

27 .109 .998 

26 .164 .997 

25 .238 .995 



24 .333 ,991 

23 .450 .985 

22 .585 .975 .165 

21 .725 .959 

20 .850 .934 

19 .939 .900 

18 .983 .858 



29 


.245 


.994 


.200 35 


.281 


.992 


28 


.335 


.990 


34 


.369 


.988 


27 


.443 


.984 


33 


.470 


.982 


26 


.565 


.975 


32 


.580 


.973 


25 


.692 


.962 


31 


.69? 


.961 


24 


.81 1 


.943 


30 


.797 


.945 


23 


.904 


.916 


29 


.88? 


.923 


22 


.963 


.883 


28 


.94? 


.898 


21 


.989 


.846 


27 


.977 


.869 


34 


.049 


.999 


.210 42 


.04? 


.999 


32 


.1 13 


.998 


40 


.09? 


.998 


31 


.164 


.997 


39 


.133 


.997 



30 .231 .994 
29 .316 .991 



38 .185 .996 
37 .251 .993 



.110 



17 .644 .970 

16 .802 .947 

15 .924 .910 

14 .983 .858 

24 .058 .999 

22 .149 .997 

21 .224 .995 



140 



30 .042 .999 
28 .103 .998 
27 .154 .997 
26 .223 .995 
25 .313 .992 
24 .424 .986 
23 .554 .977 



28 


.419 


.986 


36 


.351 


.990 


27 


.536 


.978 


35 


.424 


.985 


26 


.661 


.966 


34 


.528 


.977 


25 


.781 


.948 


33 


.658 


.967 


24 


.881 


.924 


32 


.744 


.953 


23 


.949 


.894 


31 


.85R 


.935 


22 


.983 


.859 


30 


.91 1 


.913 



.115 



20 


.326 


.992 


22 


.691 


.963 


19 


.456 


.985 


21 


.819 


.942 


18 


.607 


.974 


20 


.917 


.911 


17 


.764 


.954 


19 


.973 


.873 


16 


.895 


.922 .1 


145 31 


.039 


.999 


15 


.971 


.876 


29 


.097 


.998 


25 


.055 


.999 


28 


.145 


.997 


23 


.140 


.998 


27 


.210 


.995 


22 


.21 1 


.996 


26 


.295 


.992 


21 


.306 


.992 


25 


.400 


.987 


20 


.428 


.987 


24 


.524 


.979 


19 


.572 


.977 


23 


.658 


.967 


18 


.725 


.960 


22 


.788 


.948 


17 


.863 


.932 


21 


.893 


.921 



170 35 .046 .999 

33 .106 .998 

32 .154 .997 

31 .217 .995 

30 .298 .992 

29 .396 .987 

28 .509 .980 



27 .631 .969 

26 .752 .953 

25 .856 .931 

24 .932 .904 

23 .975 .871 

180 37 .041 .999 

35 .094 .998 



,220 



29 .958 .887 
28 .984 .859 
44 .057 .999 
42 .08? .998 
40 .164 .996 
39 .223 .994 
38 .296 .991 



37 .38? .987 

36 .480 .981 

35 .585 .972 

34 .69? .961 

33 .791 .945 

32 .873 .926 

31 .95^ .903 



120 



16 .954 .891 

26 .052 .999 

24 .131 .998 

23 .198 .996 

22 .287 .993 

21 .401 .988 

20 .539 .979 



.150 



20 .960 .885 

19 .990 .844 

32 .037 .999 

30 .091 .998 

29 .136 .997 

28 .197 .996 

27 .277 .993 



34 .136 .997 

33 .192 .996 

32 .265 .993 

31 .353 .989 

10 .458 .983 

29 .573 .974 

28 .693 .961 



,230 



30 .970 .87-' 

29 .989 .850 

46 .05? .999 

43 .104 .998 

42 .145 .997 

41 .199 .995 

40 .265 .993 



125 



19 .688 .964 

18 .829 .940 

17 .932 .905 

16 .983 .858 

27 .049 .999 

25 .124 .998 

24 .186 .996 



?6 .377 .988 
25 .495 .981 
24 .626 .970 
?3 .756 .953 
?2 .867 .929 
21 .944 .897 
?0 .983 .859 



190 



27 .803 .944 

26 .893 .920 

25 .952 .891 

24 .984 .859 

39 .036 .999 

36 .120 .998 

35 .170 .996 



39 .344 .989 

38 .455 .984 

37 .556 .976 

36 .640 .967 

35 .741 .954 

34 .851 .937 

33 .90? .917 



.130 



23 


.269 


.994 .155 32 


.055 


.999 


22 


.377 


.989 


30 


.128 


.998 


21 


.507 


.981 


29 


.185 


.996 


20 


.652 


.968 


28 


.261 


.993 


19 


.795 


.947 


27 


.355 


.989 


18 


.908 


.916 


26 


.468 


.983 


17 


.972 


.874 


25 


.595 


.973 


28 


.047 


.999 


24 


.724 


.958 


26 


.1 16 


.998 


23 


.840 


.936 


25 


.174 


.997 


22 


.925 


.907 


24 


.253 


.994 


?1 


.974 


.871 


23 


.354 


.990 .160 33 


.052 


.999 


22 


.478 


.983 


31 


.120 


.996 


21 


.618 


.972 


30 


.174 


.996 



34 .235 .994 

33 .315 .991 

32 .411 .986 

31 .520 .978 

30 .635 .968 

29 .748 .953 

28 .847 .934 



27 .921 .909 

26 .967 .880 

25 .989 .848 

.200 40 .048 .999 

38 .106 .998 

37 .151 .997 

36 .209 .995 



,240 



32 .950 .694 

31 .979 .868 

47 .043 .999 

45 .091 .998 

44 .128 .997 

43 .176 .996 

42 .256 .994 



41 .309 .990 

40 .394 .986 

39 .489 .980 

38 .590 .972 

37 .691 .961 

36 .785 .946 

35 .865 .929 



158 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 155 - 155 



M 



D 



,240 



.250 



,260 



,270 



,280 



34 .925 .908 

33 .963 .884 

32 .985 .859 

49 .037 .999 

47 .080 .998 

45 .156 .996 

44 .211 .994 



43 .277 .992 
42 .355 .988 
41 .445 .983 
40 .542 .976 
39 .642 .966 
38 .738 .954 
37 .824 .939 



36 .893 .920 

35 .943 .899 

34 .973 .876 

33 .989 .851 

51 .033 .999 

48 .100 .998 

47 .138 .997 



46 .187 .995 
45 .248 .993 
44 .320 .990 
43 .404 .985 
42 .496 .979 
.593 .971 



41 

40 .690 .961 



39 .781 .947 

38 .858 .931 

37 .917 .912 

.957 .890 

.980 .867 

52 .042 .999 

50 .088 .998 



36 

35 



49 .122 .997 

48 .167 .996 

47 .222 .994 

46 .288 .991 

45 .365 .987 

44 .453 .982 

43 .547 .975 



42 .643 .966 
41 .735 .954 
40 .818 .940 
39 .886 .923 
38 .935 .903 
37 .968 .882 
36 .986 .859 



54 .037 .999 

52 .077 .998 

50 .148 .997 

49 .198 .995 

48 .258 .992 

47 .330 .989 

46 .412 .985 



45 .502 .979 

44 .596 .971 

43 .690 .961 

42 .776 .948 

41 .851 .933 

40 .909 .915 

39 .950 .895 



,280 

.290 



.300 



.310 



.320 



38 .976 .874 
37 .990 .852 
56 .032 .999 
53 .095 .998 
52 .131 .997 
51 .176 .996 
50 .231 .994 



49 .298 .991 
48 .374 .987 
47 .460 .982 
46 .551 .975 
45 .644 .966 
44 .733 -.955 
43 .813 .941 



42 .879 .925 
41 .929 .907 
40 .962 .888 
39 .982 .867 
57 .041 .999 
55 .083 .998 
54 .115 .997 



53 


.156 


.996 


52 


.207 


.994 


51 


.268 


.992 


50 


.339 


.989 


49 


.420 


.984 


48 


.508 


.978 


47 


.599 


.970 


46 


.689 


.961 


45 


.773 


.949 


44 


.845 


.934 


43 


.903 


.918 


42 


.944 


.900 


41 


.971 


.880 


40 


.987 


.860 



54 .276 .992 
53 .347 .988 
52 .427 .984 
51 .512 .978 
50 .601 .970 
49 .688 .961 
48 .769 .949 



,320 



.330 



,340 



59 .035 .999 

56 .102 .998 

55 .138 .997 

54 .184 .995 

53 .240 .993 .360 

52 .307 .990 

51 .382 .986 



50 .466 .981 
49 .555 .974 
48 .645 .966 
47 .731 .955 
46 .808 .942 
45 .873 .927 
44 .923 .911 



43 .957 .892 
42 .978 .873 
61 .030 .999 
58 .089 .998 
57 .122 .997 
56 .164 .996 
55 .215 .994 



,380 



47 


.840 


.936 


46 


.897 


.921 


45 


.939 


.904 


44 


.967 


.885 


43 


.984 


.866 


62 


.038 


.999 


60 


.078 


.998 


58 


.145 


.996 


57 


.192 


.995 


56 


.249 


.993 


55 


.315 


.990 


54 


.390 


.986 


53 


.472 


.981 


52 


.5^8 


.97" 


51 


.645 


.966 


50 


.729 


.956 


49 


.804 


.943 


48 


.867 


.929 


47 


.917 


.914 


46 


.952 


.897 


45 


.975 


.878 


44 


.988 


.860 


64 


.033 


.999 


61 


.095 


.998 


60 


.129 


.997 


59 


.171 


.996 


58 


.223 


.994 


57 


.284 


.991 


56 


.355 


.988 


55 


.433 


.983 


54 


.517 


.977 


53 


.603 


.970 


52 


.688 


.961 


51 


.766 


.950 


50 


.835 


.937 


49 


.891 


.923 


48 


.934 


.907 


47 


.963 


.890 


46 


.981 


.872 


67 


.036 


.999 


64 


.100 


.998 


63 


.135 


.997 


62 


.173 


.995 


61 


.230 


.993 


60 


.291 


.991 


59 


.361 


.987 


58 


.438 


.983 


57 


.520 


.977 


56 


.605 


.970 


55 


.687 


.961 


54 


.764 


.951 


=;3 


.831 


.939 


52 


.886 


.925 


51 


.929 


.910 


50 


.958 


.894 


49 


.978 


.877 


48 


.989 


.860 


70 


.038 


.999 


68 


.076 


.998 


66 


. UIO 


.997 


65 


.184 


.995 


64 


.236 


.993 


63 


.298 


.991 



,380 



.400 



.420 



.440 



62 .367 .987 

61 .443 .983 

60 .524 .977 

59 .606 .970 

58 .687 .961 

57 .76? .951 

56 .827 .940 



55 .88? .927 

54 .924 .913 

53 .955 .898 

52 .975 .882 

51 .987 .865 

73 .040 .999 

71 .080 .998 



69 


.14-= 


.996 


68 


.169 


.995 


67 


.24? 


.993 


66 


.303 


.990 


65 


.37? 


.987 


64 


.44P 


.982 


63 


.527 


.977 


62 


.608 


.970 


61 


.687 


.962 


60 


.760 


.952 


59 


.824 


.941 


58 


.878 


.929 


57 


.92^ 


.915 



56 .951 .901 



55 .97? .886 

54 .985 .870 

77 .02Q .999 

74 .08"^ .998 

73 .113 .997 

72 .149 .996 

71 .194 .995 



70 .247 .993 
69 .30« .990 
68 .377 .987 
67 .45? .982 

66 .530 .977 
65 .609 .970 
64 .686 .962 



63 .758 .953 

62 .82? .942 

61 ,67-^ .930 

60 .917 .918 

59 .948 .904 

58 .969 .890 

57 .98"' .875 



80 .051 .999 

77 .OS'S .998 

76 .116 .997 

75 .153 .996 

74 .199 .995 

73 .25? .993 

72 .313 .990 



71 .36? .986 

70 .455 .982 

69 .533 .977 

68 .611 .970 

67 .687 .962 

66 .757 .953 

65 .819 .943 



159 



FINITE QUEUING TABLES 



POPULATION 155 - 155 



,440 



,460 



,480 



,500 



M 


D 


F 


X M 


D 


F 


X M 


D 


F 


X M 


D 


F 


64 


.872 


.932 


.500 69 


.977 


.890 


.580 98 


.097 


.998 


.700 113 


.218 


.995 


63 


.914 


.920 


68 


.987 


.877 


97 


.129 


.997 


1 12 


.277 


.993 


62 


.945 


.907 


.520 92 


.034 


.999 


96 


.170 


.996 


1 1 1 


.34U 


.990 


61 


.967 


.893 


89 


.094 


.996 


95 


.218 


.994 


1 10 


.416 


.987 


60 


.981 


.879 


88 


.126 


.997 


94 


.273 


.992 


109 


.49? 


.983 


83 


.032 


.999 


87 


.165 


.996 


93 


.336 


.989 


108 


.56« 


.979 


80 


.088 


.998 


86 


.212 


.994 


92 


.404 


.986 


107 


.64"? 


.973 


79 


.1 19 


.997 


85 


.266 


.992 


91 


.476 


.982 


106 


.71? 


.968 


78 


.157 


.996 


84 


.328 


.989 


90 


.550 


.977 


105 


.776 


.961 


77 


.203 


.994 


83 


.396 


.986 


89 


.624 


.971 


104 


.850 


.954 


76 


.256 


.992 


82 


.468 


.982 


88 


.694 


.965 


103 


.876 


.946 


75 


.318 


.990 


81 


.543 


.977 


87 


.758 


.958 


102 


.91? 


.938 


74 


.386 


.986 


80 


.617 


.971 


86 


.816 


.949 


101 


.940 


.930 


73 


.459 


.982 


79 


.689 


.964 


85 


.864 


.941 


100 


.961 


.921 


72 


.535 


.977 


78 


.756 


.956 


84 


.904 


.931 


99 


.975 


.912 


71 


.612 


.970 


77 


.815 


.947 


83 


.934 


.921 


98 


.985 


.903 


70 


.687 


.963 


76 


.865 


.937 


82 


.957 


.91 1 


.750 125 


.045 


.999 


69 


.756 


.954 


75 


.905 


.927 


81 


.973 


.900 


123 


.098 


.998 


68 


.818 


.944 


74 


.937 


.916 


80 


.984 


.889 


122 


.1 57 


.997 


67 


.869 


.933 


73 


.960 


.904 


.600 104 


.034 


.999 


121 


.185 


.996 


66 


.91 1 


.922 


72 


.975 


.893 


101 


.097 


,99P 


120 


.24? 


.994 


65 


.942 


.909 


71 


.986 


.880 


100 


.130 


.997 


1 19 


.308 


.992 


64 


.965 


.896 


.540 95 


.035 


.999 


99 


.171 


.996 


1 18 


.381 


.989 


63 


.980 


.883 


92 


.095 


.998 


98 


.219 


.994 


1 17 


.459 


.986 


62 


.989 


.869 


91 


.128 


.997 


97 


.275 


.992 


1 16 


.559 


.982 


86 


.033 


.999 


90 


.167 


.996 


96 


.338 


.989 


1 15 


.617 


.977 


83 


.091 


.998 


89 


.214 


.994 


95 


.406 


.986 


1 14 


.691 


.972 


82 


.122 


.997 


88 


.269 


.992 


94 


.479 


.982 


1 13 


.759 


.966 


81 


.160 


.996 


87 


.331 


.989 


93 


.553 


.977 


1 12 


.817 


.959 


80 


.206 


.994 


86 


.399 


.986 


92 


.626 


.972 


1 1 1 


.866 


.952 


79 


.260 


.992 


85 


.471 


.982 


91 


.696 


.965 


1 10 


.906 


.944 


78 


.321 


.990 


84 


.545 


.977 


90 


.760 


.958 


109 


.956 


.936 


77 


.389 


.986 


83 


.619 


.971 


89 


.817 


.950 


108 


.958 


.928 


76 


.462 


.982 


82 


.690 


.964 


88 


.865 


.942 


107 


.97-5 


.920 


75 


.538 


.977 


81 


.756 


.956 


87 


.904 


.932 


106 


.984 


.912 


74 


.614 


.970 


80 


.815 


.948 


R6 


.934 


.923 


.800 132 


.044 


.999 


73 


.687 


.963 


79 


.864 


.938 


85 


.957 


.913 


130 


.103 


.998 


72 


.756 


.955 


78 


.904 


.928 


84 


.973 


.903 


129 


.147 


.997 


71 


.816 


.945 


77 


.935 


.918 


83 


.984 


.892 


128 


.20? 


.996 


70 


.867 


.935 


76 


.958 


.907 


.650 111 


.039 


.999 


127 


.267 


.994 


69 


.909 


.924 


75 


.974 


.895 


109 


.081 


.998 


126 


.34? 


.992 


68 


.940 


.912 


74 


.985 


.884 


107 


.146 


.997 


125 


.423 


.989 


67 


.963 


.899 


.560 98 


.035 


.999 


106 


.194 


.995 


124 


.508 


.985 


66 


.978 


.886 


95 


.096 


.998 


105 


.248 


.993 


123 


.59? 


.981 


65 


.988 


.873 


94 


.129 


.997 


104 


.309 


.991 


122 


.67? 


.976 


89 


.034 


.999 


93 


.169 


.996 


103 


.376 


.988 


121 


.745 


.970 


86 


.093 


.998 


92 


.216 


.994 


102 


.448 


.985 


120 


.809 


.964 


85 


.124 


.997 


91 


.271 


.992 


101 


.522 


.980 


1 19 


.861 


.957 


84 


.163 


.996 


90 


.334 


.989 


100 


.597 


.975 


1 18 


.903 


.950 


83 


.209 


.994 


89 


.402 


.986 


99 


.669 


.970 


1 17 


.955 


.942 


82 


.263 


.992 


88 


.474 


.982 


98 


.735 


.963 


1 16 


.958 


.935 


81 


.325 


.989 


87 


.548 


.977 


97 


.795 


.956 


1 15 


.974 


.927 


80 


.393 


.986 


86 


.621 


.971 


96 


.846 


.948 


1 14 


.984 


.919 


79 


.465 


.982 


85 


.692 


.965 


95 


.889 


.940 


.850 138 


.064 


.999 


78 


.540 


.977 


84 


.757 


.957 


94 


.922 


.931 


137 


.10? 


.998 


77 


.616 


.971 


83 


.815 


.949 


93 


.948 


.922 


136 


.15? 


.997 


76 


.688 


.963 


82 


.864 


.940 


92 


.966 


.912 


135 


.216 


.996 


75 


.756 


.955 


81 


.904 


.930 


91 


.979 


.903 


134 


.29-5 


.994 


74 


.815 


.946 


80 


.935 


.920 


90 


.987 


.893 


133 


.380 


.991 


73 


.866 


.936 


79 


.958 


.909 


.700 118 


.043 


.999 


132 


.47? 


.988 


72 


.907 


.925 


78 


.974 


.898 


1 16 


.090 


.998 


131 


.566 


.984 


71 


.938 


.914 


77 


.984 


.887 


115 


.124 


.997 


130 


.655 


.979 


70 


.961 


.902 


.580 101 


.035 


.999 


114 


.167 


.996 


129 


.737 


.974 



160 



PINITE QUEUING TABLES 
X M D F X 



POPULATION 155 - 160 
F X M D F 



.850 128 .807 .968 .014 2 .982 .884 

127 .864 .962 .015 5 .108 .999 

126 .908 .955 4 .277 .998 

125 .940 .948 3 .620 .987 

124 .963 .941 .016 5 .135 .999 

123 .978 .933 4 .328 .997 

122 .987 .926 3 .698 .981 



.036 10 .073 .999 

9 .149 .998 

8 .282 .996 

7 .495 .989 

6 .782 .963 

5 .985 .864 

.038 10 .098 .999 



.056 
.058 



a .968 .886 

14 .094 .999 

13 .167 .998 

12 .279 .995 

11 .44? .989 

10 .65^ .974 

9 .67'^ .93« 



.900 145 .050 .999 

143 .148 .998 

142 .226 .996 

141 .321 .994 

140 .427 .991 

139 .537 .988 

138 .643 .933 



137 .738 .978 

136 .817 .972 

135 .878 .966 

134 .923 .960 

133 .954 .953 

132 .974 .946 

131 .986 .939 



.950 150 .112 .999 

149 .215 .997 

148 .349 .995 

147 .498 .992 

146 .642 .988 

145 .765 .983 

144 .357 .977 



143 .920 .971 
142 .959 .964 
141 .980 .957 



POPULATION 



160 



.002 


1 .318 


.999 


.003 


1 .476 


.997 


.004 


1 .632 


.993 


.005 


2 .225 


.999 



1 .782 .984 



,006 



,007 



,008 



,009 



,010 



,01 1 



,012 



,013 



.014 



2 


.306 


.998 


1 


.914 


.956 


2 


.395 


.997 


1 


.987 


.883 


3 


.160 


.999 


2 


.489 


.995 


3 


.21 1 


.999 


2 


.588 


.991 


3 


.267 


.998 


2 


.683 


.936 


4 


.1 16 


.999 


3 


.329 


.997 


2 


.785 


.976 


u 


.150 


.999 


3 


.396 


.996 


2 


.874 


.958 


4 


.188 


.999 


3 


.468 


.994 


2 


.943 


.928 


a 


.230 


.998 


3 


.543 


.991 



.017 



.018 



,019 



.020 



.021 



,022 



.023 



.024 



.025 



.026 



.023 



.030 



.032 



.034 



5 


.165 


.999 




9 


.192 


.998 


8 


.986 


.859 


4 


.383 


.995 




8 


.349 


.994 .060 15 


.065 


.999 


3 


.774 


.973 




7 


.586 


.983 


13 


.20^ 


.997 


5 


.199 


.998 




6 


.367 


.944 


12 


.350 


.993 


4 


.442 


.994 


.040 


1 1 


.064 


.999 


1 1 


.5-08 


.985 


3 


.845 


.960 




9 


.242 


.997 


10 


.725 


.966 


6 


.099 


.999 




8 


.422 


.991 


9 


.91 « 


.919 


5 


.236 


.998 




7 


.677 


.975 .062 15 


.08? 


.999 


4 


.503 


.991 




6 


.931 


.91 ° 


14 


.145 


.993 


3 


.905 


.941 


.042 


1 1 


.086 


.999 


13 


.243 


.996 


6 


.120 


.999 




10 


.166 


.998 


12 


.386 


.991 


5 


.276 


.997 




9 


.299 


.995 


1 1 


.576 


.981 


4 


.567 


.988 




8 


.502 


.988 


10 


.792 


.955 


3 


.950 


.916 




7 


.766 


.964 


9 


.954 


.893 


6 


.145 


.999 




6 


.971 


.885 .064 16 


.057 


.999 


5 


.320 


.996 


.044 


1 1 


.112 


.999 


14 


.176 


.997 


4 


.632 


.984 




10 


.208 


.997 


13 


.283 


.995 


3 


.978 


.084 




9 


.362 


.993 


12 


.445 


.988 


6 


.172 


.999 




8 


.585 


.982 


1 1 


.645 


.974 


5 


.367 


.995 




7 


.845 


.948 


10 


.65? 


.942 


4 


.697 


.979 


.046 


12 


.075 


.999 


9 


.976 


.874 


7 


.089 


.999 




1 1 


.143 


.998 .066 16 


.07? 


.999 


6 


.202 


.998 




10 


.257 


.996 


15 


.126 


.998 


5 


.416 


.994 




9 


.431 


.990 


14 


.21? 


.997 


4 


.761 


.971 




8 


.669 


.975 


13 


.357 


.993 


7 


.106 


.999 




7 


.909 


.926 


12 


.500 


.985 


6 


.234 


.998 


.048 


12 


.098 


.999 


1 1 


.71 "^ 


.967 


5 


.469 


.992 




1 1 


.180 


.998 


10 


.901 


.925 


4 


.321 


.961 




10 


.312 


.995 


9 


.969 


.850 


7 


.127 


.999 




9 


.506 


.987 .068 16 


.089 


.999 


6 


.270 


.997 




8 


.751 


.965 


15 


.154 


.998 


5 


.523 


.989 




7 


.954 


.900 


14 


.251 


.996 


4 


.374 


.947 


.050 


13 


.066 


.999 


13 


.390 


.991 


7 


.149 


.999 




1 1 


.222 


.997 


12 


.57? 


.980 


6 


.308 


.996 




10 


.372 


.992 


1 1 


.777 


.957 


5 


.579 


.986 




9 


.583 


.982 


10 


.959 


.907 


4 


.919 


.930 




8 


.826 


.951 .070 17' 


.06 "^ 


.999 


3 


.094 


.999 




7 


.980 


.871 


15 


.165 


.997 


7 


.201 


.998 


.052 


13 


.085 


.999 


14 


.295 


.994 


6 


.392 


.994 




12 


.156 


.998 


13 


.447 


.988 


5 


.692 


.977 




1 1 


.269 


.996 


12 


.630 


.975 


4 


.975 


.885 




10 


.433 


.990 


1 1 


.835 


.945 


8 


.129 


.999 




9 


.661 


.975 


10 


.965 


.886 


7 


.262 


.997 




8 


.389 


.933 .075 18 


.061 


.999 


6 


.485 


.990 


.054 


m 


.053 


.999 


16 


.176 


.997 


5 


.800 


.962 




12 


.192 


.997 


15 


.279 


.994 


9 


.083 


.999 




1 1 


.322 


.994 


14 


.420 


.989 


3 


.172 


.998 




10 


.507 


.986 


13 


.599 


.977 


7 


.332 


.995 




9 


.738 


.965 


12 


.79? 


.953 


6 


.584 


.984 




8 


.936 


.91 1 


1 1 


.940 


.905 


5 


.891 


.938 


.056 


14 


.074 


.999 .080 19 


.060 


.999 


9 


.113 


.999 




13 


.135 


.998 


17 


.160 


.997 


8 


.223 


.997 




12 


.233 


.996 


16 


.264 


.995 


7 


.410 


.992 




1 1 


.380 


.992 


15 


.396 


.990 


6 


.685 


.976 




10 


.530 


.961 


14 


.564 


.980 


5 


.954 


.905 




9 


.808 


.953 


13 


.750 


.960 



161 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 160 - 160 
F X M F 



.080 



.085 



12 


.909 


.920 


.115 


17 


.920 


.912 


1 1 


.986 


.857 




16 


.979 


.867 


20 


.058 


.999 


.120 


27 


.045 


.999 


18 


.160 


.997 




25 


.115 


.996 


17 


.250 


.995 




24 


.174 


.997 


16 


.373 


.991 




23 


.254 


.994 


15 


.531 


.982 




22 


.358 


.990 



145 24 .622 .971 

23 .753 .955 

22 .866 .931 

21 .944 .399 

20 .983 .860 

150 32 .056 .999 

30 .128 .998 



.180 38 .041 .999 

36 .094 .998 

35 .136 .997 

34 .191 .996 

33 .26? .993 

32 .348 .989 

31 .450 .984 



.090 



14 .710 .965 

13 .875 .932 

12 .972 .878 

21 .056 .999 

19 .153 .998 

18 .237 .995 

17 .353 .991 



.125 



21 .485 .983 

20 .630 .971 

19 .775 .952 

18 .895 .922 

17 .967 .881 

28 .044 .999 

26 .109 .996 



29 .185 .996 

28 .261 .994 

27 .355 .990 

26 .468 .983 

25 .595 .974 

24 .724 .959 

23 .840 .93'^ 



30 .564 .975 

29 .681 .963 

28 .79? .947 

27 .88"^ .925 

26 .946 .897 

25 .980 .866 

.190 40 .05-' .999 



.095 



100 



,105 



110 



.115 



16 


.500 


.984 


25 


.165 


.997 


22 


.927 


.908 


37 


.12? 


.998 


15 


.672 


.969 


24 


.241 


.995 


21 


.975 


.872 


36 


.17? 


.996 


14 


.838 


.941 


23 


.339 


.991 


155 33 


.053 


.999 


35 


.257 


.994 


13 


.953 


.895 


22 


.460 


.985 


31 


.121 


.998 


34 


.316 


.991 


22 


.054 


.999 


21 


.599 


.974 


30 


.176 


.996 


33 


.410 


.986 


20 


.146 


.998 


20 


.743 


.957 


29 


.247 


.994 


32 


.517 


.979 


19 


.225 


.996 


19 


.868 


.931 


28 


.337 


.990 


31 


.650 


.969 


18 


.333 


.992 


18 


.952 


.894 


27 


.445 


.985 


30 


.74? 


.955 


17 


.472 


.985 


17 


.989 


.849 


26 


.568 


.976 


29 


.840 


.936 


16 


.636 


.972 .1 


130 29 


.042 


.999 


25 


.696 


.962 


28 


.916 


.913 


15 


.802 


.949 


27 


.104 


.998 


24 


.814 


.943 


27 


.963 


.885 


14 


.929 


.909 


26 


.157 


.997 


23 


.907 


.916 


26 


.987 


.854 


13 


.987 


.853 


25 


.228 


.995 


22 


.964 


.883 .200 41 


.051 


.999 


23 


.053 


.999 


24 


.321 


.992 


1 60 34 


.050 


.999 


39 


.110 


.998 


21 


.139 


.998 


23 


.437 


.986 


32 


.1 15 


.998 


38 


.155 


.997 


20 


.213 


.996 


22 


.570 


.976 


31 


.167 


.997 


37 


.214 


.995 


19 


.315 


.993 


21 


.712 


.961 


30 


.235 


.994 


36 


.286 


.992 


18 


.446 


.986 


20 


.840 


.938 


29 


.321 


.991 


35 


.373 


.988 


17 


.602 


.975 


19 


.934 


.905 


28 


.424 


.986 


34 


.473 


.982 


16 


.765 


.955 


18 


.982 


.863 


27 


.542 


.978 


33 


.58? 


.973 


15 


.901 


.921 .135 30 


.040 


.999 


26 


.668 


.966 


32 


.69? 


.962 


14 


.976 


.872 


28 


.099 


.998 


25 


.787 


.948 


31 


.795 


.946 


24 


.051 


.999 


27 


.149 


.997 


24 


.886 


.924 


30 


.880 


.925 


22 


.133 


.998 


26 


.217 


.995 


23 


.952 


.893 


29 


.940 


.901 


21 


.203 


.996 


25 


.305 


.992 


22 


.985 


.858 


28 


.975 


.873 


20 


.298 


.993 


24 


.415 


.987 .1 


165 35 


.048 


.999 .210 43 


.046 


.999 


19 


.422 


.988 


23 


.543 


.978 


33 


.1 10 


.998 


41 


.099 


.998 


18 


.570 


.978 


22 


.681 


.965 


32 


.159 


.997 


40 


.140 


.997 


17 


.730 


.960 


21 


.81 1 


.944 


31 


.223 


.995 


39 


.193 


.995 


16 


.871 


.931 


20 


.913 


.915 


30 


.305 


.992 


38 


.259 


.993 


15 


.961 


.887 


19 


.972 


.876 


29 


.404 


.987 


37 


.340 


.989 


25 


.049 


.999 .1 


140 30 


.061 


.999 


28 


.518 


.979 


36 


.453 


.984 


23 


.126 


.998 


29 


.094 


.998 


27 


.640 


.968 


35 


.5 56 


.977 


22 


.192 


.996 


28 


.142 


.997 


26 


.761 


.953 


34 


.644 


.967 


21 


.282 


.993 


27 


.206 


.996 


25 


.864 


.931 


33 


.749 


.954 


20 


.399 


.989 


26 


.289 


.993 


24 


.937 


.902 


32 


.840 


.936 


19 


.540 


.980 


25 


.394 


.988 


23 


.978 


.869 


31 


.91 1 


.914 


18 


.695 


.965 


24 


.517 


.980 .1 


170 36 


.046 


.999 


30 


.958 


.889 


17 


.840 


.939 


23 


.651 


.968 


34 


.104 


.99P 


29 


.984 


.862 


16 


.942 


.901 


22 


.782 


.950 


33 


.151 


.997 .220 45 


.04 1 


.999 


15 


.988 


.851 


21 


.890 


.923 


32 


.212 


.995 


43 


.089 


.998 


26 


.047 


.999 


20 


.959 


.888 


31 


.290 


.992 


42 


.126 


.997 


24 


.120 


.998 


19 


.990 


.847 


30 


.384 


.988 


41 


.174 


.996 


23 


.183 


.997 .145 31 


.058 


.999 


29 


.494 


.981 


40 


.255 


.994 


22 


.268 


.994 


29 


.134 


.998 


28 


.614 


.971 


39 


.309 


.991 


21 


.378 


.989 


28 


.195 


.996 


27 


.734 


.957 


38 


.396 


.986 


20 


.512 


.982 


27 


.274 


.993 


26 


.840 


.937 


37 


.493 


.980 


19 


.662 


.968 


26 


.374 


.989 


25 


.921 


.91 1 


36 


.597 


.972 


18 


.808 


.946 


25 


.492 


.982 


24 


.969 


.879 


35 


.70? 


.960 



162 



FINITE QUEUING TABLES 

X M D F X 
.220 



.230 



POPULATION 160 



160 



M 







.240 



,250 



,260 



34 


.798 


.945 .260 


33 


.878 


.926 .270 


32 


.935 


.904 


31 


.971 


.878 


30 


.989 


.852 


47 


.037 


.999 


44 


.1 13 


.998 


43 


.157 


.996 


42 


.213 


.995 


41 


.281 


.992 


40 


.361 


.988 


39 


.453 


.983 


38 


.553 


.975 


37 


.656 


.965 


36 


.754 


.952 


35 


.840 


.936 


34 


.908 


.916 


33 


.954 


.893 .280 


32 


.980 


.868 


49 


.033 


.999 


46 


.102 


.998 


45 


.142 


.997 


44 


.192 


.995 


43 


.255 


.993 


42 


.329 


.990 


41 


.416 


.985 


40 


.511 


.979 


39 


.61 1 


.970 


38 


.710 


.959 


37 


.801 


.944 


36 


.876 


.927 


35 


.931 


.906 


34 


.967 


.883 


33 


.986 


.858 .290 


50 


.044 


.999 


48 


.091 


.998 


47 


.127 


.997 


46 


.174 


.996 


45 


.231 


.994 


44 


.300 


.991 


43 


.381 


.987 


42 


.471 


.981 


41 


.568 


.974 


40 


.666 


.964 


39 


.760 


.951 


38 


.841 


.936 


37 


.905 


.917 


36 


.950 


.896 


35 


.977 


.873 


52 


.039 


.999 .300 


50 


.082 


.998 


48 


.157 


.996 


47 


.209 


.995 


46 


.273 


.992 


45 


.348 


.989 


44 


.434 


.984 


43 


.527 


.977 


42 


.623 


.969 


41 


.718 


.958 


40 


.803 


.944 


39 


.875 


.927 


38 


.928 


.908 


37 


.963 


.887 



36 .984 .864 
54 .035 .999 
51 .103 .998 
50 .141 .997 
49 .189 .995 
48 .248 .993 
47 .318 .990 



46 .399 .986 
45 .488 .980 
44 .582 .973 
43 .676 .963 
42 .764 .951 
41 .841 .936 
40 .903 .919 



39 .946 .899 

38 .974 .878 

37 .989 .856 

55 .045 .999 

53 .092 .998 

52 .127 .997 

51 .171 .996 



50 .225 .994 
49 .291 .991 
48 .366 .988 
47 .450 .983 
46 .541 .976 
45 .634 ,967 
44 .724 .957 



43 .806 .943 
42 .374 .928 
41 .925 .910 
40 .960 .890 
39 .981 .869 
57 .040 .999 
55 .082 .998 



53 .154 .996 
52 .204 ,995 
51 .265 .992 
50 .335 .989 
49 .415 .985 
43 .503 .979 
47 .594 .971 



46 .684 .962 
45 .769 .950 
44 .342 .936 
43 .901 .920 
42 .943 .901 
01 .971 .882 
40 .987 .861 



59 .036 .999 
56 .102 .99b 
55 .139 ,997 
54 .185 .995 
53 .241 .993 
52 .307 .990 
51 .382 .987 



50 .466 .981 
49 .554 .975 
48 .644 .966 
47 .731 .956 
46 .808 .943 
45 .873 .928 
44 .923 .912 



.300 



.310 



,320 



.330 



,340 



43 


.957 


.893 


540 54 


.66? 


.965 


42 


.979 


.874 


53 


.74? 


.955 


61 


.032 


.999 


52 


.81 3 


.943 


58 


.092 


.998 


51 


.873 


.929 


57 


.125 


.997 


50 


.920 


.914 


56 


.167 


.996 


49 


.953 


.898 


55 


.219 


.994 


48 


.975 


.881 


54 


.280 


.992 


47 


.987 


.863 


53 


,351 


.988 


360 69 


.055 


.999 


52 


,431 


.984 


66 


.098 


.998 


51 


,516 


.978 


65 


.1 51 


.997 


50 


,605 


.970 


64 


.173 


.996 


49 


,692 


.961 


63 


.223 


.994 


48 


,773 


.949 


62 


.283 


.991 


47 


,843 


.936 


61 


.350 


.988 


46 


,899 


.921 


60 


.425 


.984 


45 


,941 


.904 


59 


.506 


.979 


44 


,968 


.885 


58 


.588 


.972 


43 


.985 


.866 


57 


.670 


.964 


62 


.041 


.999 


56 


.747 


.954 


60 


.082 


.998 


55 


.816 


.943 


58 


.151 


.996 


54 


.87^ 


.930 


57 


.198 


.995 


53 


.91 fl 


.916 


56 


.255 


.993 


52 


.951 


.900 


55 


.322 


.990 


51 


.973 


.884 


54 


.398 


.986 


50 


.986 


.867 


53 


.480 


.980 .380 72 


.059 


.999 


52 


.567 


.974 


70 


.077 


.998 


51 


.653 


.965 


68 


.140 


.997 


50 


.736 


.955 


67 


.18U 


.995 


49 


.81 1 


.943 


66 


.255 


.993 


48 


.873 


.929 


65 


.295 


.991 


47 


.921 


.913 


64 


.363 


.987 


46 


.955 


.896 


63 


.458 


.983 


45 


.977 


.878 


62 


.517 


.978 


44 


.989 


.859 


61 


.598 


.971 


64 


.036 


.999 


60 


.678 


.96!^ 


61 


.100 


.998 


59 


.75? 


.954 


60 


.136 


.997 


58 


,819 


.943 


59 


.179 


.995 


57 


.874 


.930 


58 


.232 


.993 


56 


.91 « 


.917 


57 


.295 


.991 


55 


.95n 


.902 


56 


.366 


.987 


54 


,971 


.887 


55 


.445 


.983 


53 


.985 


.871 


54 


.529 


.977 .400 76 


.050 


.999 


53 


.615 


.969 


73 


.08^ 


.998 


52 


.699 


.960 


72 


.11"^ 


.997 


51 


.777 


.949 


71 


.14Q 


.996 


50 


.844 


.936 


70 


.194 


.995 


49 


.898 


.922 


69 


.247 


.993 


48 


.939 


.905 


68 


.307 


.990 


47 


.966 


.888 


67 


.376 


.987 


46 


.983 


.870 


66 


,450 


.992 


66 


.032 


.999 


65 


,528 


.977 


63 


.090 


.998 


64 


.608 


.970 


62 


,122 


.997 


63 


.685 


.96? 


61 


,162 


.996 


62 


.758 


.953 


60 


.211 


.994 


61 


.82? 


.943 


^9 


.269 


.992 


60 


.875 


.931 


58 


.337 


.989 


59 


.917 


.918 


57 


.412 


.985 


58 


.949 


.904 


56 


.493 


.979 


57 


.970 


.889 


55 


.578 


.973 


56 


.984 


.874 



163 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 160 - 160 

F X M D F 



.420 79 .033 .999 

76 .089 .998 

75 .120 .997 

74 .158 .996 

73 .204 .994 

72 .257 .992 

71 .319 .990 



70 .388 .986 

69 .462 .982 

68 .539 .976 

67 .617 .970 

66 .693 .962 

65 .763 .953 

64 .825 .943 



63 .876 .931 

62 .917 .919 

61 .948 .905 

60 .969 .892 

59 .983 .877 

.440 82 .035 .999 

79 .095 .998 



78 .127 .997 

77 .166 .996 

76 .213 .994 

75 .268 .992 

74 .330 .989 

73 .399 .986 

72 .473 .981 



.480 81 .288 .991 

80 .351 .988 

79 .421 .985 

78 .494 .980 

77 .569 .975 

76 .643 .968 

75 .714 .961 



74 .778 .952 
73 .835 .943 
72 .882 .932 
71 .919 .921 
70 .948 .909 
69 .968 .897 
68 .981 .885 



.500 



67 .989 .872 
92 .030 .999 
89 .083 .998 
87 .147 .996 
86 .190 .995 
85 .240 .993 
84 .297 .991 



83 


.361 


.988 


82 


.431 


.984 


81 


.504 


.980 


80 


.578 


.974 


79 


.651 


.968 


78 


.721 


.960 



.540 89 .381 .987 

88 .451 .983 

87 .524 .979 

86 .597 .973 

85 .668 .967 

84 .735 .960 

83 .795 .952 



.600 98 .409 .986 



77 .784 .952 



82 


.847 


.943 


81 


.890 


.933 


80 


.924 


.923 


79 


.950 


.913 


78 


.968 


.902 


77 


.981 


.891 


76 


.989 


.879 


560 101 


.035 


.999 


98 


.094 


.998 


97 


.126 


.997 


96 


.165 


.996 


95 


.21 1 


.994 


94 


.264 


.992 


93 


.324 


.990 


92 


.390 


.987 


91 


.461 


.983 


90 


.533 


.978 


89 


.606 


.973 


88 


.677 


.967 


87 


.742 


.960 


86 


.801 


.952 



.650 



97 


.430 


.982 


96 


.55-^ 


.978 


95 


.625 


.972 


94 


.694 


.966 


93 


.757 


.959 


92 


.BM 


.951 


91 


.661 


.943 


90 


.901 


.934 


89 


.951 


.925 


88 


.954 


.915 


87 


.971 


.905 


86 


.98^ 


.895 


85 


.990 


.885 


1 15 


.051 


.999 


1 12 


.091 


.998 


1 1 1 


.124 


.997 


1 10 


.16"? 


.996 


109 


.21 1 


.995 


108 


.266 


.993 


107 


.32« 


.990 



106 .39^ .987 

105 .46R .984 

104 .541 .980 

103 .614 .974 

102 .684 .969 

101 .74R .962 

100 .805 .955 



71 .549 .976 

70 .626 .969 

69 .700 .961 

68 .768 .953 

67 .828 .943 

66 .878 .931 

65 .918 .920 



76 .839 .943 
75 .884 .933 
74 .921 .922 
73 .948 .911 
72 .968 .899 
71 .981 .887 
70 .989 .875 



85 .852 .943 

84 .893 .934 

.926 .924 

.951 .914 

81 .969 .903 

80 .981 .892 

79 .989 .881 



83 
82 



99 .85U .948 

98 .895 .939 

97 .926 .931 

96 .950 .922 

95 .96S .913 

94 .980 .903 

93 .98« .894 



.460 



64 .947 .907 

63 .968 .894 

62 .982 .880 

85 .038 .999 

83 .074 .998 

81 .134 .997 

80 .174 .996 



.520 95 .032 .999 

92 .087 .998 

91 .117 .997 

90 .153 .996 

89 .197 .995 

88 .248 .993 

87 .307 .991 



.580 104 .036 .999 

101 .097 .998 

100 .130 .997 

99 .170 .996 

98 .217 .994 

97 .272 .992 

96 .333 .990 



.700 122 .05° .999 

119 .110 .998 

118 .149 .997 

1 17 .19^ .996 

116 .251 .994 

115 .3M .992 

114 .38? .989 



79 .222 .994 

78 .278 .992 

77 .341 .989 

76 .410 .985 

75 .483 .981 

74 .559 .975 

73 .635 .969 



86 .371 .987 
85 .441 .984 
84 .514 .979 
83 .588 .974 
82 .660 .967 
81 .728 .960 
80 .789 .952 



95 .400 .987 

94 .470 .983 

93 .543 .978 

92 .616 .973 

91 .685 .966 

90 .750 .959 

89 .807 .952 



113 .455 .985 
112 .550 .981 
1 1 1 .605 .977 
110 .676 .971 
109 .74? .965 
108 .801 .959 
107 .651 .951 



72 .707 .961 

71 .773 .952 

70 .831 .943 

69 .880 .932 

68 .918 .920 

67 .947 .908 

66 .968 .896 



79 


.843 


.943 


88 


.856 


.943 


78 


.887 


.933 


87 


.897 


.934 


77 


.922 


.923 


86 


.929 


.924 


76 


.949 


.912 


85 


.953 


.915 


75 


.968 


.900 


84 


.970 


.904 


74 


.981 


.889 


83 


.982 


.894 


73 


.989 


.877 


82 


.989 


.883 



106 .89? .944 

105 .924 .936 

104 .949 .927 

103 .967 .919 

102 .979 .910 

ICl .987 .902 

.750 129 .CU->; .999 



.480 



65 .981 .883 

64 .990 .869 

88 .041 .999 

86 .079 .998 

84 .141 .997 

83 .182 .995 

82 .231 .994 



.540 98 .033 .999 

95 .091 .998 

94 .121 .997 

93 .159 .996 

92 .204 .995 

91 .256 .993 

90 .315 .990 



.600 107 .037 .999 



104 


.100 


.998 


103 


.134 


.997 


102 


.175 


.996 


101 


.223 


.994 


100 


.279 


.992 



99 .341 .989 



127 .093 .998 
126 .1 50 ,997 
125 .176 .996 
.251 .995 
.295 .993 
122 .36S .990 
121 .441 .987 



124 
123 



164 



FINITE QUEUING TABLES 



,750 



,800 



.850 



.900 



.950 



M 

120 
1 19 
1 18 
117 
1 16 
1 15 
1 lU 



1 13 

I 1? 

II 1 
1 10 
109 
136 
134 



133 
132 
131 
130 
129 
12S 
127 



126 
125 
124 
123 
122 
121 
120 



1 19 
1 18 
143 
141 
140 
139 
138 



137 
136 

135 
134 
133 
132 
131 



130 
129 

128 
127 
126 
149 
148 



147 
146 
145 
144 
143 
142 
141 



140 
139 
138 
137 
136 
135 
155 



D 

519 
597 
671 
740 
800 
852 
893 



.983 
.979 
.974 
.968 
.962 
.955 
.948 



926 .940 
950 .932 
968 .924 
980 .916 

983 .908 
047 .999 
106 .998 



151 
206 
271 
345 
425 
508 
591 



670 
742 
805 
858 
900 
932 
956 



,997 
,996 
,994 
.992 
.989 
.985 
.981 



,976 
,97 1 
,965 
,958 
,951 
,944 
,9 37 



972 .929 
983 .922 
047 .999 
117 .998 
171 .997 
238 .996 
317 .993 



404 .991 
496 .987 
588 .983 
674 .979 
752 .973 
818 .968 
872 .961 



914 .955 

944 .948 

965 .941 

979 .934 

988 .926 

071 .999 

121 .998 



189 .997 
275 .995 
375 .993 
482 .990 
590 .986 
689 .981 
776 .976 



846 .970 
900 .964 
938 .958 
963 .951 
979 .944 
989 .937 
097 .999 



,950 



154 
153 
152 
151 
150 
149 
143 



D 

.190 
.316 
.461 
.606 
.734 
.834 
.904 



.998 
.996 
.993 
.989 
.984 
.979 
.973 



147 .949 .967 
146 .975 .960 
145 .988 .954 



POPULATION 



165 



.002 
.003 
.004 
.005 



.006 

.007 
.008 

.009 



.010 



.01 1 



,012 



.013 



,014 



.015 



.016 



.017 



.018 



.019 



.020 



,021 



1 .328 .999 

1 .491 .997 

1 .651 .993 

2 .237 .999 
1 .805 .982 



.286 
.719 
.127 
.352 
.818 
.163 



.998 
.984 
.999 
.997 
.971 
.999 



3 .423 .995 



2 


.904 


.949 


4 


.205 


.999 


3 


.498 


.993 


2 


.963 


.912 


4 


.251 


.998 


3 


.577 


.990 


5 


.121 


.999 


4 


.301 


.997 


3 


.658 


.985 


5 


.150 


.999 


4 


.356 


.996 


3 


.738 


.978 


5 


.183 


.999 


4 


.415 


.995 


3 


.814 


.967 


6 


.090 


.999 


5 


.219 


.998 


4 


.477 


.993 


3 


.882 


.951 


6 


.111 


.999 


5 


.260 


.996 


4 


.542 


.990 


3 


.935 


.927 


6 


.135 


.999 


5 


.304 


.997 


4 


.609 


.986 


3 


.971 


.897 


6 


.162 


.999 



X 
.021 

.022 



.023 



.024 



,025 



.026 



POPULATION 160 - 165 
F X M D F 



.323 .998 

.934 .947 

.415 .997 

.172 .999 .028 

.514 .994 

.226 .999 

.616 .990 



.030 



.032 



.034 



.036 



.038 



,040 



.042 



5 .351 .996 



.676 .931 

.989 .862 

.084 .999 

.192 .998 

.401 .994 

.743 .974 



,101 
,225 

.454 
,806 
,122 
,261 



,999 
.998 
,992 
,965 
,999 
,997 



.510 .990 



4 .863 .952 

7 .144 .999 

.300 .996 

.567 .987 

.912 .935 

.077 .999 

.169 .998 



.342 .995 

.626 .983 

.949 .914 

.109 .999 

.226 .998 

.433 .992 

.742 .972 



,988 .862 

,149 .999 

,294 .996 

,532 .988 

,848 .953 

,097 .999 

8 .197 .998 



7 


.370 


.994 


6 


.636 


.981 


5 


.928 


.923 


9 


.131 


.999 


8 


.254 


.997 


7 


.455 


.991 


6 


.739 


.970 


5 


.975 


.884 


10 


.087 


.999 


9 


.173 


.998 


8 


.320 


.995 


7 


.547 


.986 


6 


.834 


.954 


10 


.116 


.999 


9 


.221 


.997 


8 


.393 


.993 


7 


.642 


.979 


6 


.910 


.930 


1 1 


.077 


.999 


10 


.152 


.998 


9 


.277 


.996 


8 


.473 


.989 


7 


.735 


.969 


6 


.960 


.898 


1 1 


.103 


.999 


10 


.193 


.998 


9 


.340 


.994 


8 


.557 


.985 



.042 



.044 



.046 



.048 



.050 



,052 



,054 



.056 



.058 



,060 



.062 



7 .82? .954 

6 .986 .863 
12 .069 .999 
10 .242 .997 

9 .410 .992 

8 .645 .978 

7 .893 .934 



12 .091 .999 
11 .169 .998 
10 .296 .995 

9 .486 .988 

8 .751 .968 

7 .945 .908 

13 .06^ .999 



11 .211 .997 
10 .357 .993 

9 .565 .983 

8 .810 .955 

7 .976 .878 

13 .081 .999 

12 .149 .998 



11 .259 .996 

10 .424 .991 
9 .646 .977 
8 .879 .938 

13 .104 .999 

12 .185 .998 

11 .313 .994 



10 .496 .987 
9 .726 .968 
8 .951 .916 

14 .07? .999 

13 .151 .998 

12 .227 ,997 

11 .37? ,992 



10 .570 .982 
9 .800 .956 
8 .965 .890 

14 .09? .999 

13 .163 .998 

12 .274 .995 

11 .455 .990 



10 .646 .976 
9 .865 .940 
3 .985 .863 

15 .064 .999 

13 .200 .997 

12 .326 .994 

1 1 .503 .986 



10 .721 .967 
9 .917 .921 

15 .081 .999 

14 .144 .998 

13 .241 .996 

12 .383 .992 

11 ,574 .981 



10 .790 .956 
9 .954 .899 

16 .057 .999 

14 .176 .998 

13 .287 .995 

12 .445 .989 

11 ,645 ,975 



165 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 165 - 165 
F X M F 



,062 10 .852 .943 

9 .977 .875 

,064 16 .072 .999 

15 .127 .998 

14 .212 .997 

13 .338 .993 

12 .509 .985 



.090 15 .750 .959 

14 .397 .925 

13 .977 .872 

.095 22 .073 .999 

21 .119 .998 

20 .185 .997 

19 .278 .994 



125 26 .146 .997 



.155 



.051 .999 



25 


.215 


.996 


32 


.lis 


.998 


24 


.304 


.992 


31 


.167 


.997 


23 


.417 


.987 


30 


.235 


.995 


r>z 


.549 


.979 


29 


.320 


.991 


21 


.691 


.965 


28 


.424 


.986 



20 .824 .943 



27 .542 .978 



,066 



.068 



11 .715 .967 

10 .903 .926 

9 .990 .850 

16 .091 .999 

15 .155 .998 

14 .253 .996 

13 .393 .991 



12 .576 .980 
11 .782 .957 
10 .942 .907 
17 .064 .999 
15 .187 .997 
14 .299 .994 

13 .452 .988 



.100 



18 .400 .989 

17 .551 .980 

16 .717 .963 

15 .868 .934 

14 .963 .888 

23 .071 .999 

22 .115 .998 



21 .178 .997 

20 .266 .994 

19 .382 .990 

18 .525 .982 

17 .686 .967 

16 .838 .941 

15 .945 .901 



19 .924 .911 



.130 



.135 



18 


.978 


.870 


29 


.060 


.999 


27 


.141 


.997 


26 


.206 


.996 


25 


.291 


.993 


24 


.398 


.988 


23 


.525 


.980 


22 


.664 


.968 


21 


.797 


.948 


20 


.904 


.920 


19 


.968 


.882 


30 


.058 


.999 


28 


.135 


.998 



.160 



26 .668 .966 

25 .788 .949 

24 .887 .925 

23 .95^^ .894 

22 .985 .859 

35 .049 .999 

33 .111 .998 



32 .160 .997 

31 .225 .995 

30 .307 .992 

29 .406 .987 

28 .521 .980 

27 .644 .969 

26 .764 .953 



.070 



12 


.644 


.975 


.105 24 


.069 


.999 


1 1 


.841 


.945 


23 


.111 


.998 


10 


.968 


.885 


22 


.171 


.997 


17 


.080 


.999 


21 


.255 


.995 


16 


.137 


.998 


20 


.364 


.990 


15 


.224 


.996 


19 


.501 


.983 



14 .348 .992 



18 .655 .970 



27 .197 .996 

26 .279 .993 

25 .381 .989 

24 .503 .982 

23 .637 .970 

22 .771 .953 

21 .882 .927 



.165 



25 .867 .931 

24 .939 .903 

23 .979 .869 

36 .047 .999 

34 .106 .998 

33 .154 .997 

32 .216 .995 



,075 



.080 



13 .514 .984 

12 .710 .967 

11 .891 .930 

10 .984 .863 

18 .079 .999 

17 .133 .998 

16 .215 .996 



15 .332 .993 

14 .488 .986 

13 .674 .971 

12 .856 .940 

11 .969 .884 

19 .078 .999 

18 .130 .998 



17 .808 .948 



20 .955 .893 



1 10 



16 


.925 


.912 


19 


.989 


.852 


15 


.983 


.864 


140 31 


.056 


.999 


25 


.068 


.999 


29 


.130 


.998 


24 


.107 


.998 


28 


.189 


.996 


23 


.165 


.997 


27 


.267 


.994 


22 


.244 


.995 


26 


.365 


.990 


21 


.348 


.991 


25 


.482 


.983 


20 


.478 


.984 


24 


.612 


.973 


19 


.627 


.973 


23 


.744 


.957 


18 


.778 


.953 


22 


.860 


.934 


17 


.901 


.922 


21 


.941 


.902 



16 .972 .878 
115 26 .066 .999 



^0 .982 .864 
.145 32 .054 .999 



.170 



31 .294 .992 

30 .390 .988 

29 .500 .981 

28 .620 .971 

27 .740 .956 

26 .846 .936 

25 .925 .910 



24 .971 .879 

37 .045 .999 

35 .10? .998 

34 .147 .997 

33 .207 .995 

32 .28? .993 

31 .374 .988 



,085 



17 .207 .996 

16 .317 .993 

15 .463 .987 

14 .640 .974 

13 .820 .948 

12 .949 .900 

20 .076 .999 



25 


.104 


.998 


30 


.125 


.998 


24 


.158 


.997 


29 


.162 


.996 


23 


.234 


.995 


28 


.256 


.994 


?2 


.333 


.992 


27 


.349 


.990 


21 


.456 


.985 


26 


.461 


.984 


20 


.599 


.975 


25 


.588 


.975 


19 


.748 


.958 


24 


.718 


.960 



30 .480 .982 

29 .597 .973 

28 .716 .960 

27 .824 .941 

26 .908 .917 

25 .96? .888 

24 .98« .855 



19 .126 .998 

18 .200 .997 

17 .303 .993 

16 .441 .988 

15 .608 .976 

14 .785 .954 

13 .925 .914 



.120 



18 .877 .930 

17 .959 .891 

27 .064 .999 

26 .100 .998 

25 .152 .997 

24 .224 ..995 

23 .318 .992 



23 .836 .939 



.150 



22 


.924 


.91 1 


21 


.974 


.875 


33 


.052 


.999 


31 


.120 


.998 


30 


.174 


.996 


29 


.245 


.994 



,180 39 .04? .999 

37 .094 .998 

36 .1 55 .997 

35 .190 .996 

34 .259 .993 

33 .344 .990 

32 .443 .984 



,090 



12 .988 .854 

21 .075 .999 

20 .122 .998 

19 .192 .997 

18 .290 .994 

17 .420 .988 

16 .579 .978 



22 .436 .986 



28 .334 .991 



125 



21 


.573 


.977 


27 


.442 


.985 


20 


.719 


.961 


26 


.564 


.977 


19 


.851 


.937 


25 


.693 


.963 


18 


.943 


.902 


24 


.812 


.944 


17 


.986 


.857 


23 


.906 


.918 


28 


.062 


.999 


22 


.964 


.885 



.190 



31 .554 .977 

30 .670 .965 

29 .780 .950 

28 .873 .929 

27 .958 .903 

26 .976 .873 

41 .059 .999 



166 



FINITE QUEUING TABLES 



190 



.200 



,210 



.220 



.230 



M 


D 


F X 


39 


.087 


.998 .230 


37 


.174 


.996 


36 


.238 


.994 


35 


.316 


.991 


3a 


.409 


.986 


33 


.514 


.979 


32 


.626 


.970 .240 


31 


.736 


.956 


30 


.834 


.939 


29 


.910 


.916 


28 


.960 


.890 


27 


.985 


.860 


U3 


.036 


.999 


40 


.1 14 


.998 


39 


.160 


.997 


38 


.219 


.995 


37 


.291 


.992 


36 


.377 


.988 


35 


.476 


.982 


3a 


.583 


.974 


33 


.692 


.962 


3? 


.794 


.947 .250 


31 


.878 


.927 


30 


.938 


.904 


29 


.974 


.877 


aa 


.050 


.999 


a2 


.105 


.998 


41 


.147 


.997 


40 


.201 


.995 


39 


.268 


.993 


38 


.348 


.989 


37 


.441 


.984 


36 


.544 


.977 


35 


.650 


.967 


34 


.753 


.954 


33 


.842 


.936 


32 


.912 


.915 .260 


31 


.958 


.891 


30 


.983 


.865 


46 


.oa6 


.999 


44 


.096 


.998 


43 


.135 


.997 


42 


.184 


.996 


41 


.247 


.994 


40 


.321 


.990 


39 


.a09 


.986 


38 


.506 


.980 


37 


.609 


.971 


36 


.712 


.959 


35 


.805 


.944 


3a 


.882 


.926 


33 


.938 


.904 


32 


.972 


.879 .270 


31 


.989 


.853 


48 


.042 


.999 


46 


.088 


.998 


45 


.124 


.997 


aa 


.169 


.996 


a3 


.227 


.994 


a2 


.296 


.991 


41 


.378 


.987 


40 


.471 


.982 


39 


.570 


.974 



M F X 

■53 .671 .964 .?70 

37 .767 .951 

36 .850 .935 

35 .914 .915 

34 .957 .393 

33 .981 .868 .280 

50 .038 .999 



47 .113 .99fa 
46 .155 .997 
45 .208 .995 
44 .273 .992 
43 .350 .989 
42 .437 .984 
41 .533 .977 



40 .632 .968 
39 .728 .957 
38 .815 .942 
37 .886 .925 
36 .938 .904 
35 .970 .882 
34 .988 .858 



52 .035 .999 .?90 

49 .lOa .998 

48 .ia2 .997 

47 .192 .995 

46 .252 .993 

45 .324 .990 

44 .406 .986 



43 .498 .980 
42 .594 .972 
41 .690 .962 
40 .780 .949 
39 .856 .933 
38 .915 .915 
37 .956 .394 



36 .980 .871 

53 .047 .999 

51 .095 .996 ."^00 

50 .130 .997 

49 .176 .996 

43 .232 .994 

47 .299 .991 



46 .377 .987 
45 .464 .982 
44 .557 .975 
43 .652 .966 
42 .743 ,955 
41 .824 .940 
40 .890 .924 



39 .938 .905 

38 .969 .884 

37 .987 .862 

55 .042 .999 

53 .086 .998 

52 .119 .997 .310 

51 .161 .996 



50 .213 .994 
49 .276 .992 
48 .350 .989 
47 .432 .984 
46 .522 .978 
45 .615 .970 
44 .707 .960 



M 



D 



POPULATION 165 - 165 
F X >1 F 



43 .791 .947 

42 .862 .932 

41 .917 .914 

40 .955 .895 

39 .979 .874 

57 .038 .999 

55 .079 .998 



53 .148 .997 

52 .196 .995 

51 .255 .993 

50 .324 .990 

49 .402 .986 

48 .489 .980 

47 .580 .973 



46 .671 .964 

45 .757 .953 

44 .832 .939 

43 .894 .923 

42 .939 .905 

41 .968 .885 

40 .935 .865 



59 .035 .999 

56 .100 .998 

55 .135 .997 

54 .180 .996 

53 .235 .994 

52 .300 .991 

51 .374 .987 



50 .457 .982 

49 .545 .976 

48 .635 .968 

47 .722 .958 

46 .801 .945 

45 .866 .931 

44 .919 .914 



43 .955 .896 

42 .978 .876 

'^■l .031 .999 

58 .091 .998 

57 .124 .997 

56 .165 .996 

55 .216 .994 



54 .277 .992 

53 .348 .989 

52 .426 .984 

51 .512 .979 

50 .600 .971 

49 .688 .962 

48 .769 .951 



47 .840 .937 

46 .897 .922 

45 .939 .905 

44 .968 .887 

43 .984 .868 

62 .041 .999 

60 .083 .998 



58 .152 .996 
57 .199 .995 
56 .256 .993 
55 .322 .990 
54 .398 .986 
53 .480 .981 
52 .566 .974 



.310 



.320 



.330 



.340 



51 .65^ .966 

50 .756 .956 

49 .81 1 .944 

48 .£7-5 .930 

47 .921 .914 

46 .955 .897 

45 .977 ,879 



44 .989 .860 

64 .057 .999 

61 .103 .998 

60 .1 59 .997 

59 .183 .995 

58 .256 .993 

57 .29° .991 



56 .370 .987 

55 .449 .983 

54 .553 .977 

53 .619 .969 

52 .703 .960 

51 .78n .949 

50 .847 .936 



,360 



49 


.901 


.922 


48 


.940 


.906 


47 


.967 


.888 


46 


.984 


.870 


66 


.054 


.999 


63 


.094 


.998 


62 


.127 


.997 


61 


.168 


.996 


60 


.217 


.994 


59 


.276 


.992 


58 


.344 


.989 


57 


.420 


.985 


56 


.501 


.979 


55 


.586 


.972 


54 


.670 


.964 


53 


.749 


.954 


52 


.820 


.942 


51 


.878 


.92° 


50 


.923 


.914 


49 


.956 


.897 


48 


.976 


.880 


47 


.988 


.86^ 


67 


.044 


.999 


65 


.085 


.998 


64 


.116 


.997 


63 


.154 


.996 


62 


.200 


.995 


61 


.255 


.993 


60 


.320 


.990 


59 


.39? 


.986 


58 


.471 


.981 


57 


.553 


.975 


56 


.657 


.968 


55 


.717 


.958 


54 


.791 


.948 


53 


.854 


.935 


52 


.904 


.921 


51 


.94? 


.906 


50 


.967 


.890 


49 


.983 


.873 


71 


.055 


.999 


68 


.096 


.998 



167 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 165 - 165 
F X M D F 



.360 67 .128 .997 

66 .169 .996 

65 .217 .994 

64 .275 .992 

63 .340 .989 

62 .413 .985 

61 .491 .980 



.420 69 .624 .970 

68 .699 .962 

67 .767 .953 

66 .827 .943 

65 .878 .932 

64 .918 .920 

63 .948 ,907 



.480 74 .895 .930 

73 .929 .919 

72 .954 .907 

71 .972 .895 

70 .964 .883 

.500 94 .038 .999 

91 .100 .998 



.540 61 .961 .908 

80 .976 .897 

79 .986 .886 

.560 lj4 .054 .999 

101 .09? .998 

loo .123 .997 

99 .160 .996 



60 .573 .974 

59 .654 .966 

58 .731 .957 

57 .801 .946 

56 .860 .934 

55 .908 .921 

54 .943 .906 



.440 



62 .969 .893 

61 .982 .880 

84 .040 .999 

82 .078 .998 

80 .139 .997 

79 .179 .995 

78 .228 .994 



90 .133 .997 

89 .172 .996 

88 .218 .994 

87 .272 .992 

86 .332 .989 

85 .398 .986 

84 .469 .982 



98 .205 .995 

97 .257 .993 

96 .315 .991 

95 .380 .988 

94 .449 .984 

93 .520 .980 

92 .59? .975 



.380 



53 .967 .891 

52 .983 .875 

74 .040 .999 

72 .078 .998 

70 .141 .997 

69 .183 .995 

68 .234 .993 



77 


.284 


.991 


83 


.542 


.977 


76 


.347 


.989 


82 


.615 


.972 


75 


.416 


.985 


81 


.685 


.965 


74 


.490 


.980 


80 


.751 


.957 


73 


.565 


.975 


79 


.809 


.949 


72 


.640 


.968 


78 


.860 


.939 


71 


.712 


.961 


77 


.901 


.929 



91 .661 .969 

90 .727 .962 

89 .787 .954 

88 .8 59 .946 

87 .88' .937 

86 .917 .928 

85 .944 .918 



67 .293 .991 

66 .360 .988 

65 .433 .984 

64 .511 .979 

63 .591 .972 

62 .669 .965 

61 .744 .956 



70 .778 .952 
69 .836 .942 
68 .884 .931 
67 .922 .919 
66 .950 .907 
65 .970 .894 
64 .983 .881 



.520 



76 .933 .919 

75 .956 .908 

74 .973 .896 

73 .984 .884 

97 .042 .999 

95 .080 .998 

93 .142 .997 



84 .964 .908 

83 .977 .898 

82 .98-7 .887 

.580 107 .057 .999 

104 .098 .998 

103 .151 .997 

102 .17n .996 



.400 



60 .810 .945 

59 .866 .933 

58 .911 .920 

57 .944 .906 

56 .968 .892 

55 .982 .876 

78 .032 .999 



.460 



88 .032 .999 
85 .085 .998 
84 .114 .997 
83 .150 .996 
82 .192 .995 
81 .243 .993 
80 .300 .991 



92 .183 .995 

91 .231 .994 

90 .286 .992 

89 .348 .989 

88 .415 .985 

87 .486 .981 

86 .559 .976 



101 .216 .994 

100 .270 .992 

99 .350 .990 

98 .395 .987 

97 .465 .983 

96 .5 56 .979 

95 .608 .974 



75 .087 .998 

74 .117 .997 

73 .154 .996 

72 .198 .995 

71 .251 .993 

70 .311 .990 

69 .379 .987 



79 .364 .988 

78 .434 .984 

77 .507 .979 

76 .582 .974 

75 .656 .967 

74 .725 .959 

73 .789 .951 



85 .631 .971 

84 .699 .964 

n3 .763 .956 

82 .819 .948 

81 .867 .939 

80 .906 .929 

79 .936 .919 



94 .677 .963 

93 .741 .961 

92 .799 .954 

91 .849 .945 

90 .890 .937 

69 .92^ .928 

88 .948 .918 



68 .453 .983 

67 .530 .977 

66 .608 .971 

65 .684 .963 

64 .756 .954 

63 .819 .944 

62 .872 .932 



.480 



72 .844 .941 
71 .889 .930 
70 .925 .919 
69 .952 .907 
68 .971 .895 
67 .983 .882 
91 .035 .999 



78 .959 .908 

77 .974 .897 

76 .965 .885 

.540 101 .032 .999 

98 .086 .998 

97 .115 .997 

96 .151 .996 



87 .966 .908 

86 .979 .898 

85 .988 .888 

.600 110 .059 .999 

107 .10" .998 

106 .1 58 .997 

lu5 .179 .996 



.420 



61 .915 .920 

60 .946 .907 

59 .968 .893 

58 .982 .878 

81 .036 .999 

78 .096 .998 

77 .128 .997 



88 .093 .998 
87 .123 .997 
86 .161 .996 
85 .205 .995 
84 .257 .993 
83 .316 .990 
82 .382 .987 



95 .194 .995 

94 .244 .993 

93 .301 .991 

92 .364 .988 

91 .432 .985 

90 .503 .980 

89 .575 .975 



104 .227 .994 

103 .28"^ .992 

102 .344 .990 

101 .411 .986 

100 .481 .983 

99 .55-^ .978 

98 .624 .973 



76 


.167 


.996 


81 


.452 


.983 


75 


.213 


.994 


80 


.525 


.978 


74 


.268 


.992 


79 


.599 


.973 


73 


.329 


.989 


78 


.671 


.966 


72 


.398 


.986 


77 


.738 


.956 


71 


.471 


.981 


76 


.799 


.950 


70 


.548 


.976 


75 


.852 


.940 



88 .646 .970 

87 .713 .963 

86 .775 .955 

85 .829 .947 

84 .875 .938 

83 .912 .928 

82 .940 .918 



97 .69? .967 

96 .755 .960 

95 .8in .953 

94 .858 .945 

93 .897 .936 

92 .929 .927 

91 .95? .918 



168 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 165 - 170 

F X M D F 



.600 


90 


.969 


.908 


.750 113 


.985 


.913 


POPULATION 


170 


.024 


6 


.290 


.997 




89 


.981 


.899 


.600 140 


.050 


.999 












5 


.55? 


.988 




88 


.989 


.889 


138 


.110 


.99b 


.002 


1 


.338 


.999 




4 


.901 


.940 


.650 


1 18 


.037 


.999 


137 


.155 


.997 


.003 


1 


.505 


.997 


.025 


7 


.163 


.999 




1 15 


.102 


.998 


136 


.210 


.996 


.004 


2 


.170 


.999 




6 


.35? 


.996 




1 14 


.137 


.997 


135 


.274 


.994 




1 


.671 


.992 




5 


.613 


.985 




1 13 


.179 


.996 


134 


.347 


.992 


.005 


2 


.250 


.999 




4 


.94? 


.920 




112 


.228 


.994 


133 


.426 


.989 




1 


.828 


.979 


.026 


8 


.089 


.999 




1 1 1 


.285 


.992 


132 


.508 


.985 


.006 


2 


.339 


.998 




7 


.191 


.998 




1 10 


.348 


.990 


131 


.590 


.981 




1 


.952 


.937 




6 


.377 


.994 




109 


.416 


.987 


130 


.668 


.977 


.007 


3 


.135 


.999 




5 


.67^ 


.980 




108 


.487 


.983 


129 


.739 


.971 




2 


.436 


.996 




4 


.971 


.895 




107 


.560 


.979 


128 


.802 


.966 


.008 


3 


.185 


.999 


.028 


8 


.125 


.999 




106 


.631 


.974 


127 


.854 


.959 




2 


.539 


.994 




7 


.254 


.997 




105 


.698 


.968 


126 


.897 


.953 


.009 


3 


.242 


.999 




6 


.475 


.991 




104 


.760 


.961 


125 


.929 


.946 




2 


.645 


.989 




5 


.791 


.965 




103 


.815 


.954 


124 


.953 


.939 


.010 


3 


.306 


.998 


.030 


9 


.08? 


.999 




102 


.862 


.947 


123 


.970 


.931 




2 


.751 


.981 




8 


.170 


.998 




101 


.900 


.939 


122 


.982 


.924 


.01 1 


4 


.139 


.999 




7 


.320 


.995 




100 


.930 


.931 


121 


.989 


.917 




3 


.375 


.997 




6 


.SB'^ 


.986 




99 


.953 


.922 


.850 147 


.056 


.999 




2 


.850 


.966 




5 


.890 


.941 




98 


.969 


.913 


145 


.134 


.996 


.012 


a 


. 178 


.999 


.032 


9 


.11^ 


.999 




97 


.981 


.904 


144 


.191 


.997 




3 


.450 


.995 




8 


.224 


.997 




96 


.988 


.895 


143 


.261 


.995 




2 


.930 


.938 




7 


.41 1 


.993 


.700 


126 


.033 


.999 


142 


.341 


.993 


.013 


4 


.222 


.998 




6 


.68^' 


.977 




123 


.098 


.998 


141 


.429 


.990 




3 


.530 


.992 




5 


.957 


.906 




122 


.133 


.997 


140 


.519 


.987 




2 


.979 


.894 


.034 


10 


.075 


.99Q 




121 


.175 


.996 


139 


.609 


.983 


.014 


5 


.106 


.999 




8 


.28-7 


.996 




120 


.226 


.995 


133 


.692 


.978 




4 


.272 


.998 




7 


.503 


.989 




1 19 


.285 


.993 


137 


.767 


.973 




3 


.61 2 


.988 




6 


.79? 


.963 




1 18 


.350 


.990 


136 


.830 


.967 


.015 


5 


.134 


.999 




5 


.98« 


.862 




1 17 


.420 


.987 


135 


.880 


.961 




4 


.326 


.997 


.036 


10 


.10? 


.999 




1 16 


.493 


.984 


134 


.919 


.954 




3 


.695 


.983 




9 


.199 


.998 




1 15 


.567 


.979 


133 


.948 


.948 


.016 


5 


.165 


.999 




8 


.359 


.994 




1 14 


.640 


.975 


132 


.967 


.941 




4 


.384 


.996 




7 


.600 


.983 




1 13 


.708 


.969 


131 


.981 


.934 




3 


.777 


.974 




6 


.880 


.942 




1 12 


.769 


.963 


130 


.989 


.927 


.017 


5 


.201 


.998 


.038 


1 1 


.063 


.999 




1 1 1 


.824 


.956 


.900 154 


.056 


.999 




4 


.447 


.994 




9 


.253 


.997 




1 10 


.369 


.949 


152 


.157 


.998 




3 


.852 


.960 




8 


.459 


.991 




109 


.906 


.941 


151 


.234 


.996 


.018 


6 


.101 


.999 




7 


.690 


.974 




108 


.935 


.934 


150 


.326 


.994 




5 


.241 


.998 




6 


.944 


.913 




107 


.956 


.926 


149 


.429 


.992 




4 


.512 


.991 


.040 


1 1 


.09"^ 


.999 




106 


.972 


.917 


148 


.536 


.988 




3 


.914 


.939 




10 


.177 


.998 




105 


.982 


.909 


147 


.639 


.984 


.019 


6 


.125 


.999 




9 


.315 


.995 




104 


.989 


.900 


146 


.732 


.979 




5 


.285 


.997 




8 


.525 


.987 


.750 


133 


.041 


.999 


145 


.810 


.974 




4 


.581 


.988 




7 


.791 


.961 




131 


.089 


.998 


144 


.872 


.968 




3 


.959 


.91 1 




6 


.980 


.877 




129 


.168 


.997 


143 


.917 


.962 


.020 


6 


.152 


.999 


.042 


12 


.06? 


.999 




128 


.221 


.995 


142 


.949 


.956 




5 


.332 


.996 




10 


.224 


.997 




127 


.282 


.993 


141 


.971 


.949 




4 


.650 


.984 




9 


.38"=; 


.993 




126 


.350 


.991 


140 


.984 


.943 




3 


.985 


.876 




8 


.614 


.981 




125 


.423 


.988 


.950 160 


.084 


.999 


.021 


6 


.181 


.999 




7 


.87? 


.943 




124 


.500 


.984 


1 59 


.168 


.998 




5 


.383 


.995 


.044 


12 


.084 


.999 




123 


.577 


.980 


158 


.285 


.996 




4 


.720 


.977 




1 1 


.157 


.998 




122 


.651 


.976 


157 


.425 


.994 


.022 


7 


.095 


.999 




10 


.27R 


.996 




121 


.721 


.970 


156 


.570 


.990 




6 


.214 


.998 




9 


.461 


.990 




120 


.783 


.964 


155 


.701 


.986 




5 


.437 


.993 




8 


.704 


.972 




1 19 


.836 


.958 


154 


.808 


.981 




4 


.787 


.969 




7 


.95? 


.918 




1 18 


.880 


.951 


153 


.886 


.975 


.023 


7 


.1 15 


.999 


.046 


12 


.109 


.999 




1 17 


.916 


.944 


152 


.937 


.969 




6 


.250 


.997 




1 1 


.199 


.997 




1 16 


.942 


.936 


151 


.968 


.963 




5 


.494 


.991 




10 


.3 59 


.994 




115 


.962 


.929 


150 


.985 


.957 




4 


.848 


.957 




9 


.54? 


.985 




1 14 


.976 


.921 








.024 


7 


.138 


.999 




8 


.789 


.960 



169 



FINITE QUEUING TABLES 

X M D F X 

.046 7 .970 .888 .066 

.048 13 .076 .999 

12 .140 .998 

1 1 .246 .996 

10 .406 .992 

9 .625 .979 

8 .864 .943 .068 



M 



D 



15 .188 .997 

14 .300 .994 

13 .454 .988 

12 .646 .975 

11 .043 .945 

10 .970 .886 

17 .081 .999 



M 



D 



POPULATION 170 - 170 
F X M D F 



TOO 22 .148 .998 

21 .223 .996 

20 .325 .992 

19 .454 .986 

18 .607 .976 

17 .765 .957 

16 .398 .925 



.130 23 .616 .973 

22 .75? .957 

21 .869 .932 

20 .949 .899 

19 .987 .858 

.135 31 .053 .999 

29 .123 .993 



7 .989 .856 
.050 13 .098 .999 

12 .177 .998 

1 1 .300 .995 

10 .479 .988 

9 .709 .971 

8 .922 .922 



.052 



.054 



,056 



,058 



,060 



,062 



,064 



14 


.068 


.999 


12 


.219 


.997 


1 1 


.360 


.993 


10 


.556 


.984 


9 


.787 


.959 


8 


.961 


.896 


14 


.088 


.999 


13 


.157 


.998 


12 


.266 


.996 


1 1 


.425 


.990 


10 


.634 


.978 


9 


.856 


.944 


8 


.983 


.868 


15 


.062 


.999 


13 


.194 


.997 


12 


.319 


.994 


1 1 


.494 


.987 


10 


.712 


.969 


9 


.912 


.925 


15 


.079 


.999 


14 


.141 


.998 



.066 



13 .237 .996 
12 .377 .992 
1 1 .567 .982 
10 .785 .958 

9 .952 .903 

16 .056 .999 

14 .173 .998 



13 .284 .995 

12 .440 .989 

11 .641 .976 

10 .850 .945 

9 .977 .878 

16 .071 .999 

15 .126 .998 



14 .211 .997 

13 .336 .993 

12 .507 .986 

11 .713 .968 

10 .903 .927 

9 .990 .852 

16 .090 .999 



15 .155 .998 

14 .253 .996 

13 .393 .991 

12 .576 .981 

1 1 .782 .958 

10 .943 .908 

17 .064 .999 



16 .139 .998 

15 .226 .996 

14 .351 .992 

13 .518 .985 

12 .714 .967 

11 .895 .930 

10 .985 .863 



.070 18 .058 .999 

16 .168 .99b 

15 .268 .995 

14 .406 .990 

13 .584 ,980 

12 .779 .957 

1 1 .Q34 .912 



.075 19 .059 .999 

17 .165 .998 

16 .260 .995 

15 .391 .991 

14 .558 .981 

13 .746 .962 

12 .908 .924 



105 



.080 



.085 



.090 



11 .986 .861 

?0 .059 .999 

18 .162 .998 

17 .252 .995 

16 .376 .991 

15 .535 .983 

14 .715 .966 



13 


.880 


.933 


12 


.975 


.878 


21 


.059 


.999 


19 


.159 


.998 


18 


.245 


.995 


17 


.362 


.991 



16 .513 .984 



15 .686 .969 

14 .851 .941 

13 .959 .893 

22 .059 .999 

20 .155 .998 

19 .238 .995 

18 .349 .992 



17 .492 .965 

16 .658 .971 

15 .822 .947 

14 .941 .906 

.095 23 .059 .999 

21 .152 .998 

20 .230 .996 



19 .337 .992 

18 .473 .986 

17 .631 .974 

16 .793 .952 

15 .920 .916 

14 .933 .865 

100 24 .058 .999 



110 



i1 15 



i120 



125 



.130 



15 


.973 


.879 


28 


.180 


.996 


25 


.058 


.999 


27 


.255 


.994 


23 


.144 


.998 


26 


.350 


.990 


22 


.217 


.996 


25 


.465 


.984 


21 


.314 


.993 


24 


.595 


.975 


20 


.437 


.967 


23 


.729 


.960 


19 


.583 


.977 


22 


.&4R 


.938 


18 


.738 


.960 


21 


.954 


.907 


17 


.874 


.932 


20 


.980 


.369 


16 


.961 


.891 


40 32 


.C5-' 


.999 


26 


.057 


.999 


30 


.120 


.998 


24 


.141 


.998 


29 


.174 


.997 


23 


.210 


.996 


28 


.247 


.994 


22 


.303 


.993 


27 


.355 


.991 


21 


.421 


.938 


26 


.449 


.935 


20 


.561 


.979 


25 


.574 


.976 


19 


.712 


.964 


^■4 


.706 


.963 


18 


.850 


.939 


23 


.827 


.943 


17 


.946 


.902 


22 


.919 


.915 


16 


.933 


.854 


21 


.97? 


.379 


27 


.056 


.999 


45 33 


.051 


.999 


25 


.137 


.993 


31 


.116 


.998 


24 


.204 


.996 


30 


.169 


.997 


23 


.293 


.993 


29 


.258 


.995 


22 


.405 


.988 


28 


.326 


.991 


21 


.540 


.980 


27 


.433 


.986 


20 


.636 


.966 


26 


.555 


.978 


19 


.825 


.944 


25 


.683 


.965 


18 


.929 


.91 1 


24 


.60S 


.947 


17 


.981 


.867 


23 


.90? 


.921 


23 


.056 


.999 


22 


.963 


.888 


26 


.134 


.998 


21 


.990 


.851 


25 


.198 


.996 .150 34 


.049 


.999 


24 


.233 


.993 


32 


.11:^ 


.998 


23 


.390 


.989 


31 


.164 


.997 


22 


.520 


.981 


30 


.250 


.995 


21 


.662 


.969 


29 


.315 


.992 


'0 


.301 


.949 


28 


.418 


.987 


19 


.910 


.919 


27 


.556 


.979 


18 


.973 


.879 


26 


.662 


.968 


29 


.055 


.999 


25 


.783 


.951 


27 


.130 


.998 


24 


.88a 


.927 


26 


.192 


.996 


23 


.951 


.897 


25 


.273 


.994 


22 


.985 


.861 


24 


.376 


.989 .155 35 


.04 8 


.999 


23 


.501 


.982 


33 


.110 


.998 


22 


.639 


.971 


32 


.159 


.997 


21 


.776 


.953 


31 


.223 


.995 


20 


.890 


.926 


30 


.304 


.992 


19 


.962 


.890 


29 


.403 


.987 


30 


.054 


.999 


28 


.517 


.980 


28 


.127 


.998 


27 


.64 1 


.970 


27 


.186 


.996 


26 


.76? 


.954 


26 


.264 


.994 


25 


.866 


.932 


25 


.363 


.990 


24 


.959 


.904 


24 


.482 


.983 


23 


.979 


.871 



170 



FINITE QUEUING TABLES 

X M D F X 
.160 



165 



170 



180 



190 



36 


.047 


.999 .190 


34 


.107 


.998 .200 


33 


.154 


.997 


3? 


.215 


.995 


31 


.294 


.992 


30 


.389 


.988 


29 


.500 


.981 


28 


.620 


.972 


27 


.74C 


.957 


26 


.847 


.937 


25 


.926 


.91 1 


24 


.972 


.880 


37 


.046 


.999 


35 


.103 


.998 


34 


.liiQ 


.997 .210 


33 


.208 


.995 


32 


.284 


.993 


31 


.376 


.989 


30 


.483 


.982 


29 


.601 


.973 


28 


.719 


.960 


27 


.827 


.942 


26 


.911 


.917 


25 


.963 


.888 


24 


.989 


.855 


38 


.045 


.999 


36 


.100 


.998 


35 


.144 


.997 


34 


.201 


.996 .220 


33 


.274 


.993 


32 


.363 


.989 


31 


.467 


.983 


30 


.531 


.975 


29 


.699 


.963 


28 


.808 


.945 


27 


.895 


.923 


26 


.954 


.895 


25 


.984 


.864 


40 


.043 


.999 


38 


.094 


.998 


37 


.135 


.997 


36 


.188 


.996 


35 


.256 


.994 


34 


.339 


.990 .230 


33 


.436 


.985 


32 


.545 


.978 


31 


.659 


.967 


30 


.769 


.952 


29 


.862 


.933 


28 


.931 


.908 


27 


.972 


.880 


42 


.040 


.999 


40 


.089 


.998 


38 


.176 


.996 


37 


.239 


.994 


36 


.317 


.991 


35 


.408 


.987 


34 


.511 


.980 


33 


.621 


.971 .^40 


32 


.730 


.958 


31 


.828 


.941 


30 


.905 


.919 


29 


.956 


.894 



M D F 

23 .983 .866 

44 .038 .999 

41 .118 .998 

40 .165 .996 

39 .223 .995 

38 .296 .992 

37 .382 .988 



36 .479 .982 
35 .585 .974 
34 .692 .963 
33 .792 .946 
32 .875 .929 
31 .936 .906 
30 .972 .880 



46 .036 .999 
43 .111 .998 
42 .154 .997 
41 .209 .995 
40 .276 .993 
39 .357 .989 
38 .450 .984 



37 .551 .977 
36 .656 .967 
35 .756 .954 
34 .344 .937 
33 .912 .917 
32 .958 .893 
31 .983 .867 



47 .050 .999 
45 .103 .998 
44 .144 .997 
43 .195 .995 
42 .258 .993 
41 .334 .990 
40 .422 .985 



39 


.519 


.979 


38 


.620 


.970 


37 


.721 


.959 


36 


.812 


.944 


35 


.886 


.926 


34 


.940 


.904 


33 


.973 


.880 


32 


.990 


.355 


49 


.047 


.999 


47 


.097 


.998 


46 


.134 


.997 


45 


.182 


.996 


44 


.241 


.994 


43 


.312 


.991 



42 .395 .987 
41 .438 .981 
40 .587 .973 
39 .686 .963 
38 .779 .950 
37 .858 .933 
36 .919 .914 



35 
34 
51 



.960 .892 
.983 .866 
,044 .999 
49 .090 .998 
48 .125 .997 
47 .170 .996 
46 .225 .994 



X 
.240 



POPULATION 170 - 170 

F X K D F 



.'50 



.?60 



.270 



.280 



45 .292 .992 

44 .371 .988 

43 .459 .983 

42 .554 .976 

41 .652 .967 

40 .746 .955 

39 .829 .940 



.280 52 .286 .99.'5 

51 .358 .988 

50 .459 .984 

49 .527 .978 

48 .617 .970 

47 ,705 .960 

46 .737 .948 



38 


.396 


.923 


45 


.856 


.934 


37 


.944 


.903 


44 


.91 1 


.913 


36 


.973 


.881 


43 


.950 


.900 


35 


.939 


.857 


42 


.97"=. 


.881 


53 


.041 


.999 


41 


.989 


.861 


51 


.084 


.998 .290 60 


.044 


.999 


49 


.156 


.996 


58 


.08-7 


.998 


43 


.21C 


.995 


57 


.IIQ 


.997 


47 


.273 


.992 


56 


.159 


.996 


46 


.347 


.939 


55 


.20q 


.995 


45 


.432 


.934 


54 


.267 


.992 


44 


.513 


.978 


53 


.336 


.989 


43 


.619 


.970 


52 


.414 


.985 


42 


.713 


.960 


51 


.490 


.980 


41 


.798 


.946 


50 


.537 


.973 


40 


.370 


.930 


49 


.675 


.964 


39 


.925 


.912 


48 


.757 


.953 


38 


.961 


.891 


47 


.831 


.940 


37 


.983 


.869 


46 


.890 


.925 


55 


.038 


.999 


45 


.955 


.909 


52 


.108 


.998 


44 


.965 


.890 



51 .147 .997 

50 .196 .995 

49 .256 .993 

48 .326 .990 

47 .406 .986 

46 .494 .980 

45 .587 .973 



44 .630 .963 

43 .767 .952 

42 .343 .937 

41 .904 .920 

40 .947 .901 

39 .974 .881 

38 .939 .859 



57 .035 .999 

54 .101 .998 

53 .137 .997 

52 .183 .996 

51 .239 .994 

50 .305 .991 

49 .381 .987 



48 .466 .982 

47 .556 .976 

46 .648 .967 

45 .736 .956 

44 .815 .943 

43 .381 .928 

42 .930 .910 



41 .963 .891 

40 .983 .870 

59 .033 .999 

56 .094 .998 

55 .128 .997 

54 .171 .996 

53 .223 .994 



.300 



.310 



43 .983 .871 

62 .04^^ .999 

60 .080 .998 

58 .148 .997 

57 .194 .995 

56 .250 .993 

55 .315 .990 



54 .39^^ .987 

53 .471 .98?. 

S>2 .557 .975 

51 .644 .967 

50 .728 .957 

49 .604 .946 

48 .868 .932 



47 .918 .916 

u6 .953 .399 

45 .976 .881 

44 .989 .862 

64 .0 57 .999 

61 .10? .998 

oO .1 57 .997 



59 .131 .996 

53 .254 ,994 
57 .296 .991 
56 .366 .988 
55 .445 .983 

54 .529 .973 
53 ,615 .970 



52 ,699 .961 

51 .777 .950 

50 .844 .938 

49 ,899 ,923 

48 ,9 59 ,907 

47 ,967 ,890 

46 ,983 ,872 



171 



FINITE QUEUING TABLES 



POPULATION 170 - 170 



M 



D 



M 



D 



M 



D 



M 



D 



.320 



66 .034 .999 

63 .095 .998 

62 .128 .997 

61 .168 .996 

60 .218 .994 

59 .277 .992 

58 .345 .989 



.360 



62 .557 .975 
61 .637 .968 
60 .715 .960 
59 .785 .950 
58 .846 .938 
57 .896 .925 
56 .934 .912 



.420 



.440 



67 .880 .932 

66 .919 .921 

65 .948 .908 

64 .969 .895 

63 .982 .882 

87 .033 .999 

84 .086 .998 



,480 



.500 



73 .976 .894 

72 .986 .882 

97 .054 .999 

94 .090 .998 

93 .119 .997 

92 .155 .996 

91 .198 .995 



,330 



57 


.420 


.985 


56 


.501 


.980 


55 


.586 


.973 


54 


.670 


.965 


53 


.749 


.955 


52 


.819 


.943 


51 


.878 


.929 


50 


.924 


.914 


49 


.956 


.898 


48 


.977 


.881 


47 


.989 


.863 


68 


.031 


.999 


65 


.088 


.998 


64 


.1 18 


.997 



.380 



55 .961 .897 
54 .979 .881 
53 .989 .866 
76 .041 .999 
74 .079 .998 
72 .141 .997 
71 .183 .995 



70 .233 .994 
69 .291 .991 
68 .356 .988 
67 .428 .984 
66 .505 .979 
65 .583 .973 
64 .661 .966 



83 


.1 15 


.997 


90 


.248 


.993 


82 


.150 


.996 


89 


.305 


.991 


81 


.193 


.995 


88 


.368 


.988 


80 


.243 


.993 


87 


.455 


.984 


79 


.300 


.991 


86 


.506 


.980 


78 


.364 


.988 


85 


.579 


.975 


77 


.433 


.984 


£4 


.649 


.969 


76 


.506 


.980 


83 


.717 


.962 


75 


.581 


.974 


82 


.779 


.954 


74 


.654 


.967 


81 


.853 


.946 


73 


.724 


.960 


80 


.878 


.936 


72 


.788 


.951 


79 


.915 


.926 


71 


.843 


.941 


78 


.943 


.916 


70 


.889 


.931 


77 


.96^ 


.905 



63 .157 .996 

62 .204 .995 

61 .259 .993 

60 .324 .990 

59 .396 .986 

58 .475 .981 

57 .557 .975 



63 .735 .957 
62 .801 .947 
61 .858 .936 
60 .904 .924 
59 .939 .910 
58 .964 .896 
57 .960 .881 



.460 



69 .925 .919 

68 .952 .907 

67 .971 .895 

66 .983 .882 

90 .037 .999 

87 .097 .998 

86 .128 .997 



76 .978 .893 

75 .987 .882 

.520 100 .059 .999 

97 .100 .998 

96 .151 .997 

95 .170 .996 

94 .215 .994 



.340 



56 .641 .968 

55 .721 .959 

54 .794 .948 

53 .856 .935 

52 .906 .921 

51 .943 .906 

50 .968 .890 



49 .984 .873 

69 .041 .999 

67 .081 .998 

65 .146 .997 

64 .190 .995 

63 .242 .993 

62 .304 .991 



.400 



56 .990 .866 
80 .034 .999 
77 .091 .998 
76 .121 .997 
75 .158 .996 
74 .203 .995 
73 .255 .993 



72 .315 .990 

71 .382 .987 

70 .455 .983 

69 .531 .976 

63 .608 .971 

67 .683 .964 

66 .754 .955 



85 .166 .996 

84 .211 .994 

83 .263 .992 

82 .322 .990 

81 .388 .987 

80 .458 .983 

79 .531 .978 



78 .604 .972 

77 .676 .966 

76 .743 .958 

75 .804 .949 

74 .856 .939 

73 .898 .929 

72 .932 .918 



93 


.267 


.992 


92 


.326 


.990 


91 


.390 


.987 


90 


.459 


.983 


89 


.5 50 


.979 


ti8 


.60? 


.973 


87 


.671 


.967 


86 


.756 


.960 


85 


.79"=; 


.952 


84 


.846 


.944 


83 


.889 


.935 


82 


.92"? 


.925 


81 


.948 


.915 


80 


.967 


.904 



61 .373 .987 
60 .449 .983 
59 .530 .977 
58 .612 .971 
57 .693 .962 
56 .768 .952 
55 .834 .940 



65 .816 .945 
64 .869 .934 
63 .912 .922 
62 .944 .909 
61 .966 .896 
60 .981 .882 
59 .990 .867 



.480 



71 .956 .906 

70 .973 .894 

69 .985 .882 

94 .030 .999 

91 .081 .998 

89 .141 .997 

88 .182 .995 



79 .980 .893 

78 .988 .882 

.540 104 .051 .999 

101 .08? .998 

99 .144 .997 

98 .184 .995 

97 .25? .994 



.360 



54 .888 .927 

53 .929 .913 

52 .959 .897 

51 .978 .881 

50 .989 .865 

73 .035 .999 

70 .094 .998 



.420 



83 .040 .999 
81 .076 .996 
79 .135 .997 
78 .175 .996 
77 .223 .994 
76 .277 .992 
75 .340 .989 



87 .229 .994 

86 .284 .992 

85 .345 .989 

84 .412 .986 

83 .482 .981 

82 .555 .976 

81 .627 .971 



96 .287 .992 

95 .347 .989 

94 .413 .986 

93 .483 .982 

92 .554 .977 

91 .624 .972 

90 .69? .966 



69 .125 .997 

68 .164 .996 

67 .211 .994 

66 .267 .992 

65 .330 .989 

64 .401 .986 

63 .477 .981 



74 .408 .985 



80 .697 .964 



73 


.481 


.981 


79 


.761 


.956 


72 


.556 


.976 


78 


.819 


.947 


71 


.632 


.969 


77 


.867 


.938 


70 


.704 


.962 


76 


.907 


.928 


69 


.771 


.953 


75 


.937 


.917 


68 


.830 


.943 


74 


.960 


.905 



89 .755 .959 

88 .811 .951 

til .859 .942 

86 .899 .933 

85 .950 .924 

84 .95"? .914 

83 .970 .903 



172 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 170 - 180 

D F X M F 



.540 82 


.982 


.893 


.600 92 


.979 


.901 


.800 144 


.053 


.999 


POPULATION 


180 


81 


.989 


.882 


91 


.987 


.892 


m2 


.114 


.998 










.560 107 


.034 


.999 


.650 121 


.043 


.999 


141 


.159 


.997 


.002 


1 


.35^ 


.999 


lOU 


.091 


.998 


1 19 


.085 


.998 


140 


.214 


.996 


.003 


1 


.555 


.997 


103 


.120 


.997 


1 17 


.151 


.997 


139 


.278 


.994 


.004 


2 


.188 


.999 


102 


.157 


.996 


1 16 


.195 


.995 


138 


.350 


.992 




1 


.709 


.991 


101 


.200 


.995 


1 15 


.246 


.994 


137 


.428 


.989 


.005 


2 


.275 


.999 


100 


.250 


.993 


114 


.303 


.992 


136 


.509 


.986 




1 


.871 


.973 


99 


.307 


.991 


113 


.367 


.989 


135 


.589 


.982 


.006 


2 


.373 


.998 


98 


.369 


.988 


112 


.435 


.986 


134 


.666 


.977 




1 


.979 


.909 


97 


.436 


.985 


1 1 1 


.506 


.982 


133 


.737 


.972 


.007 


3 


.155 


.999 


96 


.506 


.981 


1 10 


.577 


.978 


132 


.799 


.966 




2 


.47R 


.996 


95 


.577 


.976 


109 


.647 


.973 


131 


.851 


.960 


.008 


3 


.21 1 


.999 


94 


.647 


.970 


108 


.712 


.967 


130 


.894 


.954 




2 


.589 


.992 


93 


.713 


.964 


107 


.772 


.961 


129 


.926 


.947 


.009 


3 


.275 


.998 


92 


.773 


.957 


106 


.825 


.954 


128 


.951 


.940 




2 


.703 


.986 


91 


.826 


.949 


105 


.869 


.946 


127 


.968 


.933 


.010 


4 


.125 


.999 


90 


.871 


.941 


104 


.905 


.939 


126 


.980 


.926 




3 


.346 


.997 


89 


.908 


.932 


103 


.934 


.930 


125 


.988 


.919 




2 


.81 P 


.974 


88 


.937 


.922 


102 


.955 


.922 


.850 152 


.041 


.999 


.01 1 


4 


.164 


.999 


87 


.958 


.913 


101 


.971 


.913 


150 


.103 


.998 




3 


.424 


.996 


86 


.973 


.903 


100 


.982 


.905 


148 


.21 1 


.996 




2 


.907 


.951 


85 


.984 


.892 


99 


.989 


.896 


147 


.283 


.995 


.012 


4 


.209 


.999 


580 110 


.038 


.999 


.700 129 


.043 


.999 


146 


.365 


.992 




3 


.507 


.993 


107 


.099 


.998 


127 


.086 


.998 


145 


.452 


.989 




2 


.970 


.910 


106 


.131 


.997 


125 


.157 


.997 


mu 


.542 


.986 


.013 


4 


.260 


.998 


105 


.170 


.996 


124 


.204 


.995 


143 


.629 


.982 




3 


.59^ 


.990 


104 


.215 


.995 


123 


.258 


.994 


142 


.709 


.977 


.014 


5 


.129 


.999 


103 


.268 


.993 


122 


.320 


.992 


141 


.780 


.972 




4 


.317 


.997 


102 


.327 


.990 


121 


.387 


.989 


140 


.840 


.966 




3 


.68? 


.984 


101 


.391 


.987 


120 


.458 


.986 


139 


.888 


.960 


.015 


5 


.16? 


.999 


100 


.459 


.984 


1 19 


.531 


.982 


138 


.924 


.954 




4 


.378 


.996 


99 


.530 


.980 


1 18 


.603 


.977 


137 


.951 


.947 




3 


.769 


.976 


98 


.600 


.975 


1 17 


.672 


.972 


1-^6 


.970 


.941 


.016 


5 


.200 


.999 


97 


.669 


.969 


1 16 


.737 


.967 


135 


.9cl2 


.934 




4 


.444 


.994 


96 


.733 


.963 


115 


.794 


.961 


134 


.990 


.927 




3 


.850 


.962 


95 


.790 


.955 


114 


.844 


.954 


.900 158 


.078 


.999 


.017 


6 


.10? 


.999 


94 


.841 


.948 


1 13 


.885 


.947 


157 


.129 


.998 




5 


.24? 


.998 


93 


.883 


.939 


1 12 


.918 


.939 


156 


.197 


.997 




4 


.514 


.992 


92 


.917 


.930 


1 11 


.944 


.932 


155 


.282 


.995 




3 


.917 


.941 


91 


.943 


.921 


1 10 


.963 


.924 


154 


.379 


.993 


.018 


6 


.127 


.999 


90 


.963 


.912 


109 


.976 


.916 


153 


.483 


.990 




5 


.28« 


.997 


89 


.976 


.902 


108 


.985 


.907 


152 


.587 


.986 




4 


.586 


.989 


88 


.986 


.892 


.750 137 


.040 


.999 


151 


.685 


.982 




3 


.964 


.910 


600 113 


.042 


.999 


134 


.118 


.998 


150 


.770 


.977 


.019 


6 


.155 


.999 


11 1 


.080 


.998 


133 


.160 


.997 


149 


.839 


.972 




5 


.359 


.996 


109 


.142 


.997 


132 


.210 


.996 


148 


.893 


.966 




4 


.66^ 


.984 


108 


.183 


.996 


131 


.269 


.994 


147 


.932 


.960 




3 


.988 


.873 


107 


.231 


.994 


130 


.335 


.992 


146 


.959 


.954 


.020 


6 


.187 


.999 


106 


.286 


.992 


129 


.407 


.989 


145 


.976 


.948 




5 


.39-' 


.995 


105 


.347 


.990 


128 


.482 


.986 


144 


.987 


.941 




4 


.754 


.977 


104 


.413 


.986 


127 


.558 


.982 


.950 165 


.072 


.999 


.021 


7 


.100 


.999 


103 


.483 


.983 


126 


.632 


.977 


164 


.148 


.998 




6 


.223 


.998 


102 


.553 


.978 


125 


.702 


.972 


163 


.257 


.997 




5 


.451 


.993 


101 


.623 


.973 


124 


.765 


.967 


162 


.391 


.995 




4 


.805 


.967 


100 


.690 


.967 


123 


.820 


.960 


161 


.534 


.991 


.022 


7 


.12? 


.999 


99 


.752 


.961 


122 


.867 


.954 


160 


.668 


.987 




6 


.26? 


.997 


98 


.807 


.954 


121 


.905 


.947 


159 


.781 


.983 




5 


.51? 


.991 


97 


.855 


.946 


120 


.934 


.940 


158 


.866 


.977 




4 


.86R 


.954 


96 


.894 


.938 


1 19 


.956 


.933 


157 


.924 


.972 


.023 


7 


.147 


.999 


95 


.926 


.929 


1 18 


.971 


.925 


1S6 


.960 


.966 




6 


.305 


.997 


94 


.950 


.920 


117 


.982 


.917 


155 


.980 


.960 




5 


.575 


.988 


93 


.967 


.91 1 


1 16 


.989 


.910 










4 


.920 


.935 



173 



FINITE QUEUING TABLES 

X M D F X 
.02ti 



.025 



POPULATION 180 



180 



.026 



.028 



,030 



,032 



,034 



,036 



.038 



.oao 



.042 



,044 



.046 



7 


.175 


.999 


.046 10 


.434 


.991 


6 


.351 


.995 


9 


.658 


.977 


5 


.640 


.984 


8 


.890 


.937 


4 


.958 


.91 1 


.048 13 


.1 10 


.999 


8 


.097 


.999 


12 


.194 


.998 


7 


.205 


.998 


1 1 


.325 


.994 


6 


.400 


.994 


10 


.513 


.987 


5 


.704 


.978 


9 


.746 


.967 


4 


.982 


.883 


8 


.944 


.913 


8 


.1 16 


.999 


.050 14 


.078 


.999 


7 


.239 


.998 


13 


.141 


.998 


6 


.452 


.992 


12 


.242 


.997 


5 


.767 


.970 


11 


.392 


.992 


9 


.077 


.999 


10 


.595 


.982 


7 


.315 


.996 


9 


.825 


.953 


6 


.563 


.987 


8 


.976 


.884 


5 


.878 


.948 


.052 14 


.101 


.999 


9 


.110 


.999 


13 


.178 


.998 


8 


.218 


.998 


12 


.295 


.995 


7 


.403 


.993 


1 1 


.463 


.989 


6 


.678 


.979 


10 


.679 


.974 


5 


.954 


.91 1 


9 


.892 


.935 


10 


.074 


.999 


.054 15 


.072 


.999 


8 


.285 


.996 


13 


.220 


.997 


7 


.499 


.990 


12 


.355 


.993 


6 


.789 


.965 


1 1 


.539 


.985 


5 


.989 


.865 


10 


.760 


.964 


10 


.103 


.999 


9 


.941 


.913 


9 


.200 


.998 


.056 15 


.094 


.999 


8 


.361 


.994 


14 


.162 


.998 


7 


.602 


.984 


13 


.268 


.996 


6 


.884 


.943 


12 


.420 


.991 


1 1 


.070 


.999 


1 1 


.618 


.979 


9 


.258 


.997 


10 


.832 


.951 


8 


.445 


.991 


9 


.972 


.887 


7 


.707 


.975 


.058 16 


.067 


.999 


6 


.950 


.912 


14 


.201 


.997 


1 1 


.096 


.999 


13 


.322 


.994 


10 


.183 


.998 


12 


.490 


.987 


9 


.325 


.995 


1 1 


.696 


.972 


8 


.537 


.987 


10 


.893 


.934 


7 


.805 


.960 


9 


.989 


.860 


6 


.984 


.873 


.060 16 


.086 


.999 


12 


.066 


.999 


15 


.149 


.998 


10 


.234 


.997 


14 


.244 


.996 


9 


.400 


.993 


13 


.381 


.992 


8 


.633 


.980 


12 


.563 


.983 


7 


.888 


.940 


1 1 


.771 


.961 


12 


.090 


.999 


10 


.939 


.913 


1 1 


.167 


.998 


.062 17 


.062 


.999 


10 


.293 


.996 


15 


.183 


.997 


9 


.482 


.989 


14 


.293 


.995 


8 


.728 


.971 


13 


.445 


.989 


7 


.947 


.912 


12 


.637 


.977 


13 


.062 


.999 


1 1 


.838 


.948 


1 1 


.213 


.997 


10 


.969 


.890 


10 


.360 


.994 


.064 17 


.080 


.999 


9 


.569 


.984 


16 


.136 


.998 


8 


.817 


.957 


15 


.223 


.997 


7 


.980 


.879 


14 


.347 


.993 


13 


.084 


.999 


13 


.513 


.986 


12 


.153 


.998 


12 


.71 1 


.969 


1 1 


.266 


.996 


1 1 


.894 


.932 



.064 
.066 



.068 



.070 



.075 



.080 



.085 



.090 



,095 



M 



D 



10 .986 .866 

18 .058 .999 

16 .168 .998 

15 .267 .995 

14 .405 .991 

13 .583 .981 

12 .780 .959 



11 .936 .914 

18 .074 .999 

17 .125 .998 

16 .203 .997 

15 .316 .994 

14 .468 .988 

13 .654 .975 



12 .842 .946 

1 1 .965 .893 

19 .054 .999 

17 .154 .998 

16 .244 .996 

15 .370 .992 

14 .534 .984 



13 .723 .967 

12 .394 .931 

11 .983 .87C 

20 .056 .999 

18 .155 .998 

17 .243 .996 

16 .364 .992 



15 .520 .984 

14 .702 .969 

13 .872 .938 

12 .973 .884 

21 .058 .999 

19 .156 .998 

18 .241 .996 



17 .358 .992 

16 .508 .985 

15 .681 .971 

14 .849 .943 

13 .960 .896 

22 .060 .999 

20 .157 .998 



19 .240 .996 
18 .352 .992 
17 .496 .985 
16 .662 .972 
15 .827 .948 
14 .945 .906 
23 .061 .999 



21 .157 .998 

20 .238 .996 

19 .346 .992 

18 .484 .986 

17 .644 .974 

16 .806 .952 

15 .929 .915 



14 .987 .862 
24 .063 .999 
22 .157 .998 
21 .235 .996 
20 .340 .992 
19 .473 .986 
18 .627 .975 



,095 



.100 



.105 



,110 



.115 



M 



D 



17 .785 .955 

16 .91? .922 

15 .979 .874 

25 .064 .999 

23 .157 .997 

22 .233 .996 

21 .334 .992 



20 


.46? 


.986 


19 


.61 1 


.976 


18 


.765 


.958 


17 


.895 


.928 


16 


.971 


.885 


26 


.065 


.999 


24 


.156 


.997 


23 


.230 


.996 


22 


.329 


.992 


21 


.45? 


.987 


20 


.595 


.977 


19 


.746 


.960 


18 


.877 


.933 


17 


.960 


.894 



27 .066 .999 

25 .155 .997 

24 .228 .996 

23 .323 .992 

22 .44? .987 

21 .581 .978 

20 .727 .963 



19 .e59 .938 

18 .949 .902 

17 .9d9 .857 

28 .066 .999 

27 .103 .998 

26 .155 .997 

23 .225 .996 



24 


.317 


.992 


23 


.43? 


.987 


22 


.566 


.979 


21 


.709 


.965 


20 


.64 1 


.942 


19 


.936 


.909 


18 


.984 


.868 


120 29 


.067 


.999 


28 


.103 


.998 


27 


.153 


.997 


26 


.22? 


.996 


25 


.31? 


.993 


24 


.423 


.988 


23 


.553 


.980 


22 


.69? 


.966 


21 


.823 


.946 


20 


.923 


.916 


19 


.977 


.877 


125 31 


.043 


.999 


29 


.103 


.998 


28 


.15? 


.997 


27 


.219 


.996 


26 


.306 


.993 


25 


.414 


.988 


24 


.540 


.980 


23 


.676 


.968 


22 


.806 


.949 


21 


.909 


.921 



174 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 180 - 180 
F X M D F 



125 20 .969 .885 



130 



135 



32 .0a3 .999 
30 .102 .998 
29 .151 .997 
28 .216 .996 
27 .301 .993 
26 .405 .988 



25 .527 .981 
2a .660 .970 
23 .789 .952 
22 .894 .926 
21 .961 .893 
33 .043 .999 
31 .102 .998 



.155 33 .201 .996 

32 .275 .993 

31 .365 .990 

30 .471 .984 

29 .588 .975 

28 .709 .963 

?7 .819 .945 



26 .906 .921 

25 .962 .892 

24 .988 .859 

.160 38 .044 .999 

36 .098 .998 

35 .141 .997 

34 .198 .996 



.190 44 .043 .999 

42 .092 .998 

40 .179 .996 

39 .241 .994 

38 .317 .991 

37 .406 .987 

36 .506 .981 



35 .612 .972 
34 .719 .961 
33 .816 .945 
32 .894 .925 
31 .948 .902 
30 .979 .876 
.200 46 .043 .999 



,230 43 .52? .979 



.240 



42 


.61^^ 


.971 


41 


.714 


.961 


40 


.801 


.947 


39 


.874 


.931 


38 


.929 


.912 


37 


.965 


.891 


36 


.985 


.869 


54 


.059 


.999 


51 


.110 


.998 


50 


.150 


.997 


49 


.199 


.995 


48 


.259 


.993 


47 


.351 


.990 



140 



30 


.150 


.997 


33 


.270 


.993 


29 


.213 


.996 


32 


.358 


.990 


28 


.295 


.993 


31 


.461 


.984 


27 


.397 


.989 


30 


.575 


.976 


26 


.515 


.982 


29 


.694 


.965 


25 


.645 


.971 


28 


.804 


.948 


24 


.772 


.955 


27 


.894 


.926 


23 


.879 


.931 


26 


.953 


.896 


22 


.951 


.900 


25 


.984 


.867 


21 


.986 


.863 .165 39 


.044 


.999 


34 


.044 


.999 


37 


.098 


.998 


32 


.101 


.998 


36 


.140 


.997 


31 


.148 


.997 


35 


.195 


.996 


30 


.210 


.996 


34 


.265 


.994 



44 .090 .998 

42 .173 .996 

41 .232 .994 

40 .304 .992 

39 .389 .988 

38 .485 .982 

37 .588 .974 



36 .692 .964 

35 .790 .950 

34 .871 .932 

33 .931 .911 

32 .969 .886 

31 .989 .860 

.210 48 .042 .999 



,250 



46 .412 .986 

45 .501 .981 

44 .596 .973 

43 .690 .964 

42 .77t^ .951 

41 .853 .937 

40 .91^ .919 



39 .95^ .899 

38 .97=1 .878 

b6 .05^ .999 

53 .106 .993 

52 .144 .997 

51 .19? .996 

50 .24Q .994 



29 .290 .993 
28 .388 .989 
27 .504 .982 
26 .630 .972 
25 .756 .957 
24 .864 .935 



23 .941 



,906 



33 .350 .990 
32 .451 .985 
31 .563 .977 
30 .679 .966 
29 .790 .950 
28 .881 .930 
27 .945 .904 



46 .087 .998 

44 .167 .996 

43 .224 .995 

42 .293 .992 

41 .374 .986 

40 .4b5 .983 

39 .565 .976 



49 .317 .991 

48 .396 .987 

47 .48? .982 

U6 .574 .975 

45 .666 .966 

44 ,754 .955 

43 .85? .941 



.145 



22 .981 .871 

35 .044 .999 

33 .101 .998 

32 .147 .997 

31 .207 .996 

30 .285 .993 

29 .380 .989 



.170 



'6 .980 .874 
40 .044 .999 
38 .097 .998 
37 .138 .997 
36 .192 .996 
35 .260 .994 
34 .343 .990 



33 .667 .966 
37 .704 .954 
36 .848 .938 
35 .913 .918 

34 .957 .896 
33 .982 .872 

.?.20 50 .041 .999 



,260 



42 .89-^ .925 

41 .941 .907 

40 .970 .887 

39 .987 .866 

58 .057 ,999 

55 .lO"' .998 

54 . 1 59 .997 



150 



28 .492 .983 

27 .615 .973 

26 .740 .959 

25 .849 .939 

24 .930 .912 

23 .976 .879 

36 .044 .999 



34 
33 



.100 .998 

.145 .997 

32 .204 .996 

31 .280 .993 

30 .373 .989 

29 .481 .983 

28 .602 .974 



.180 



33 .441 .985 
32 .551 .978 
31 .665 .967 
30 .775 .953 
29 .868 .933 
23 .935 .909 
27 .975 .380 



42 .044 .999 

40 .095 .998 

39 .134 .997 

38 .186 .996 

"^7 .251 .994 

36 .330 .991 

35 .423 .986 



47 


.118 


.998 


53 


.184 


.996 


46 


.Itol 


.997 


52 


.259 


.994 


45 


.215 


.995 


51 


.305 


.991 


44 


.281 


.992 


dO 


.380 


.988 


43 


.359 


.989 


49 


.463 


.983 


42 


.447 


.984 


48 


.55^ 


.977 


41 


.543 


.978 


47 


.644 


.968 


40 


.642 


.969 


46 


.75? 


.958 


39 


.738 


.957 


45 


.81 1 


.946 


38 


.825 


.943 


44 


.877 


.931 


37 


.894 


.925 


43 


.927 


.914 


36 


.944 


.905 


42 


.961 


.895 


35 


.974 


.88? 


41 


.98? 


.875 


34 


.990 


.858 .270 60 


.055 


.999 



155 



27 .724 .961 

26 .834 .942 

25 .918 .917 

24 .969 .886 

37 .044 .999 

35 .099 .998 

34 .143 .997 



34 .528 .980 
33 .638 .970 
32 .746 .957 
31 .842 .940 
30 .915 .91b 
'9 .962 .892 
28 .987 .863 



.^30 52 .040 .999 

49 .114 .998 

48 .156 .997 

47 .207 .995 

4d .270 .993 

45 .344 .990 

44 ,429 .985 



57 .09Q .998 

56 .1 53 .997 

55 .177 .996 

54 .250 .994 

53 .293 .992 

.365 .988 

.446 .984 



52 
51 



175 



FINITE QUEUING TABLES 



POPULATION 180 - 180 



M 



D 



,270 



.280 



,290 



50 .532 .978 
49 .622 .971 
48 .709 .961 
47 .790 .949 
46 .858 .936 
45 .912 .920 
44 .951 .902 



43 .975 .883 

42 .989 .864 

62 .034 .999 

59 .095 .998 

58 .128 .997 

57 .170 .996 

56 .221 .994 



55 .281 .992 

54 .351 .989 

53 .429 .985 

52 .513 .979 

51 .600 .972 

.687 .964 



X 
.310 



M 



D 



50 

49 .768 .953 



48 .839 .940 

47 .897 .925 

46 .939 .909 

45 .967 .891 

44 .984 .872 

64 .033 .999 

61 .091 .998 



60 .123 .997 

59 .163 .996 

58 .212 .995 

57 .270 .993 

56 .337 .990 

55 .412 .986 

54 ,494 .981 



53 .580 .974 
52 .665 .966 
51 .747 .956 
50 .820 .944 
49 .880 .930 
48 .926 .915 
47 .959 .898 



46 


.979 


.880 


300 65 


.045 


.999 


63 


.087 


.998 


61 


.156 


.996 


60 


.203 


.995 


59 


.259 


.993 


58 


.323 


.990 


57 


.396 


.987 


56 


.476 


.982 


55 


.560 


.976 


54 


.644 


.968 


53 


.726 


.959 


52 


.800 


.948 


51 


.863 


.935 


50 


.913 


.920 


49 


.949 


.904 


48 


.973 


.887 


47 


.987 


.870 


310 67 


.043 


.999 


65 


.084 


.998 


63 


.150 


.997 



.320 



.330 



.340 



62 


.194 


.995 


540 58 


.852 


.938 


61 


.248 


.993 


57 


.901 


.926 


60 


.310 


.991 


56 


.938 


.912 


59 


.381 


.987 


55 


.964 


.897 


58 


.458 


.983 


54 


.980 


.881 


57 


.540 


.977 


560 77 


.034 


.999 


56 


.624 


.970 


74 


.090 


.998 


55 


.705 


.962 


73 


.1 19 


.997 


54 


.780 


.951 


72 


.156 


.996 


53 


.846 


.939 


71 


.200 


.995 


52 


.898 


.925 


70 


.252 


.993 


51 


.938 


.910 


69 


.312 


.991 


50 


.965 


.894 


68 


.378 


.987 


49 


.982 


.877 


67 


.451 


.983 


69 


.041 


.999 


66 


.528 


.978 


67 


.080 


.996 


65 


.606 


.972 


65 


.143 


.997 


64 


.683 


.964 


64 


.186 


.995 


63 


.754 


.956 


63 


.238 


.994 


62 


.819 


.945 


62 


.298 


.991 


61 


.873 


.934 


61 


.366 


.988 


60 


.915 


.921 


60 


.441 


.984 


59 


.947 


.908 


59 


.521 


.979 


58 


.969 


.894 


58 


.604 


.972 


57 


.983 


.879 


57 


.685 


.964 .380 80 


.043 


.999 


56 


.760 


.954 


78 


.081 


.998 


55 


.828 


.943 


76 


.142 


.997 


54 


.883 


.930 


75 


.183 


.996 


53 


.926 


.916 


74 


.231 


.994 


52 


.957 


.900 


73 


.287 


.992 


51 


.977 


.884 


72 


.350 


.989 


50 


.989 


.868 


71 


.419 


.985 


71 


.039 


.999 


70 


.493 


.981 


68 


.103 


.996 


69 


.569 


.975 


67 


.137 


.997 


68 


.645 


.969 


66 


.178 


.996 


67 


.718 


.961 


65 


.228 


.994 


66 


.784 


.952 


64 


.286 


.992 


65 


.843 


.941 


63 


.352 


.989 


64 


.891 


.930 


62 


.425 


.985 


63 


.926 


.917 


61 


.503 


.980 


62 


.955 


.904 


60 


.584 


.974 


61 


.974 


.891 


59 


.664 


.966 


60 


.986 


.877 


58 


.741 


.957 .400 84 


.038 


.999 


57 


.810 


.947 


81 


.098 


.998 


56 


.868 


.934 


80 


.129 


.997 


55 


.914 


.921 


79 


.166 


.996 


54 


.948 


.906 


78 


.211 


.995 


53 


.971 


.891 


77 


.263 


.993 


52 


.985 


.875 


76 


.3<i3 


.990 


73 


.038 


.999 


75 


.388 


.987 


70 


.099 


.998 


74 


.459 


.983 


69 


.131 


.997 


73 


.533 


.978 


68 


.171 


.996 


72 


.608 


.972 


67 


.218 


.994 


71 


.681 


.965 


66 


.274 


.992 


70 


.750 


.957 


65 


.338 


.989 


69 


.81 1 


.948 


64 


.409 


.986 


68 


.864 


.937 


63 


.485 


.981 


67 


.906 


.926 


62 


.565 


.975 


66 


.939 


.914 


61 


.645 


.968 


65 


.962 


.901 


60 


.721 


.960 


64 


.978 


.888 


59 


.791 


.950 


63 


.988 


.8-5 



.420 



.440 



.460 



88 .054 .999 

85 .088 .998 

83 .151 .997 

82 .19? .995 

81 .241 .993 

80 .297 .991 

79 .359 .988 



.480 



78 .427 .985 

77 .499 .980 

76 .572 .975 

75 .645 .969 

74 .715 .962 

73 .779 .953 

72 .856 .944 



71 .883 .933 

70 .920 .922 

69 .948 .911 

68 .968 .898 

67 .98? .886 

66 .990 .873 

91 .04? .999 



89 .07fl .998 

87 .1 56 .997 

b6 .175 .996 

85 .220 .994 

84 .273 .992 

83 .35? .990 

82 .396 .987 



81 .466 .983 

80 .5J« .978 

79 .610 ,972 

78 ,681 .966 

77 .747 .958 

76 .806 .950 

75 .857 .940 



74 .899 .930 

73 .93? .919 

72 .956 .907 

71 .973 .895 

70 .985 .883 

95 .057 .999 

92 .09^ .998 



91 .12? .997 

90 .150 .996 

89 .200 .995 

88 .249 .993 

87 .305 .991 

86 .367 .988 

85 .454 .985 



84 .504 .980 

83 .576 .975 

82 .646 .969 

81 .714 .962 

80 .776 .955 

79 .850 .946 

78 .877 .937 



77 .914 .926 

76 .94-^ .916 

75 .96^ .904 

74 .978 .893 

73 .987 .881 

99 .0 5? .999 

96 .08 3 .998 



176 



FINITE QUEUING TABLES 
X M D F X 



POPULATION ISO - 180 
F X M D F 



,480 9a .142 .997 

93 .181 .996 

92 .227 .994 

91 .280 .992 

90 .339 .990 

89 .403 .986 

88 .471 .983 



.540 105 .130 .997 

104 .167 .99b 

103 .211 .995 

102 .261 .993 

101 .317 .991 

100 .379 .988 

99 .445 .985 



.600 120 .033 .999 

117 .087 .998 

115 .150 .997 

114 .191 .996 

113 .239 .994 

112 .293 .992 

111 .353 .990 



.700 114 .989 .905 

.750 145 .057 .999 

142 .108 .998 

141 .146 .997 

140 .19? .996 

139 .246 .995 

138 .30-' .993 



87 


.542 


.978 


98 


.513 


.981 


1 10 


.417 


.987 


137 


.37"? 


.990 


86 


.612 


.973 


97 


.582 


.976 


109 


.465 


.983 


136 


.446 


.988 


85 


.681 


.966 


96 


.650 


.971 


108 


.554 


.979 


135 


.520 


.984 


84 


.745 


.959 


95 


.714 


.964 


107 


.622 


.974 


134 


.593 


.980 


83 


.803 


.951 


94 


.773 


.957 


106 


.687 


.969 


133 


.664 


.976 


82 


.853 


.943 


93 


.325 


.950 


105 


.747 


.963 


132 


.729 


.971 


81 


.894 


.933 


Q2 


.870 


.942 


ina 


.802 


.956 


131 


.788 


.965 


80 


.927 


.923 


91 


.906 


.933 


103 


.849 


.949 


130 


.838 


.959 


79 


.952 


.913 


90 


.935 


.924 


102 


.888 


.941 


129 


.881 


.953 


78 


.969 


.902 


89 


.957 


.914 


101 


.920 


.933 


128 


.914 


.946 


77 


.982 


.891 


88 


.972 


.905 


100 


.945 


.924 


127 


.941 


.940 


76 


.989 


.879 


87 


.983 


.895 


99 


.963 


.916 


126 


.960 


.933 


500 102 


.039 


.999 


86 


.990 


.885 


98 


.976 


.907 


125 


.974 


.926 


99 


.097 


.998 


.560 113 


.033 


.999 


97 


.985 


.898 


124 


.964 


.918 


98 


.127 


.997 


110 


.087 


.996 


.650 128 


.040 


.999 


.800 153 


.C3R 


.999 


97 


.163 


.996 


108 


.149 


.997 


125 


. 106 


.998 


150 


.122 


.998 


96 


.206 


.995 


107 


.190 


.995 


124 


.139 


.997 


149 


.167 


.997 


95 


.256 


.993 


106 


.237 


.994 


123 


.160 


.996 


148 


.221 


.996 


94 


.312 


.991 


105 


.290 


.992 


122 


.227 


.995 


147 


.264 


.994 


93 


.373 


.988 


104 


.349 


.989 


121 


.231 


.993 


146 


.355 


.992 


92 


.440 


.935 


103 


.413 


.986 


120 


.340 


.991 


145 


.451 


.989 



91 .509 .980 

90 .579 .976 

89 .648 .970 

88 .713 .963 

87 .774 .956 

86 .827 .948 

85 .872 .939 



102 .481 .983 

101 .549 .979 

100 .618 .974 

09 .684 .968 

98 .745 .962 

97 .800 .955 

96 .848 .947 



119 .405 .988 
118 .473 .985 
117 .542 .981 
116 .611 .976 
115 .677 .971 
114 .738 .966 
113 .793 .959 



144 .509 .986 

143 .587 .982 

142 .66? .978 

141 .751 .973 

140 .793 .968 

139 .845 .962 

138 .887 .956 



84 


.909 


.930 


95 


.888 


.939 


112 


.842 


.953 


137 


.921 


.950 


83 


.938 


.920 


94 


.921 


.930 


1 1 1 


.882 


.945 


136 


.946 


.944 


82 


.959 


.910 


93 


.946 


.921 


1 10 


.915 


.938 


135 


.965 


.937 


81 


.975 


.899 


92 


.964 


.912 


1^9 


.941 


.930 


134 


.978 


.930 


80 


.985 


.888 


91 


.977 


.902 


108 


.960 


.922 


1 J>3 


.986 


.923 


.520 106 


.033 


.999 


OQ 


.936 


.893 


107 


.974 


.914 


.850 160 


.053 


.999 


103 


.086 


.998 


.530 116 


.040 


.999 


106 


.963 


.906 


158 


.1 5-^ 


.998 


101 


.146 


.997 


1 13 


.101 


.998 


105 


.990 


.897 


157 


.187 


.997 


100 


.186 


.995 


1 12 


.132 


.997 


.-'OO 136 


.046 


.999 


156 


.253 


.995 


99 


.233 


.994 


1 11 


.169 


.996 


134 


.093 


.998 


155 


.32f^ 


.994 


98 


.286 


.992 


110 


.213 


.995 


132 


.lo5 


.997 


154 


.41 1 


.991 


97 


.345 


.989 


109 


.264 


.993 


131 


.211 


.995 


153 


.490 


.988 


96 


.409 


.986 


108 


.321 


.991 


130 


.265 


.994 


152 


.58U 


.985 


95 


.476 


.983 


1C7 


.383 


.988 


1?9 


.325 


.992 


151 


.666 


.980 



94 
93 



.546 .978 

.615 .973 

92 .682 .967 

91 .744 .960 

90 .801 .953 

89 .850 .945 

88 .890 .936 



106 .449 .985 

105 .517 .981 

104 .586 .976 

103 .653 .971 

102 .716 .965 

101 .774 .959 

100 .826 .952 



128 .391 .989 

127 .460 .986 

.531 .982 

.601 .978 

124 .669 .973 

123 .732 .968 

1?2 .789 .962 



1?6 
125 



150 .741 .976 

149 .605 .971 

la8 .859 .965 

147 .90? .959 

146 .954 .953 

145 .957 .947 

m4 ,9Tf .941 



67 .923 .927 

86 .948 .917 

85 .966 .907 

84 .979 .897 

83 .988 .886 

,540 109 .040 .999 

106 .100 .998 



99 .869 .944 
98 .905 .936 
97 .934 .927 
96 .955 .916 
95 .971 .909 
94 .932 .900 
93 .989 .891 



121 .338 .956 

120 .379 .949 

119 .913 .942 

118 .939 .935 

117 .959 .928 

116 .973 .920 

115 .983 .912 



143 .984 .934 

.900 168 .049 .999 

166 .1 56 .998 

165 .204 .997 

164 .288 .995 

1&3 .333 .993 

162 .484 .990 



177 



FINITE QUEUING TABLES 



POPULATION 180 



190 



.900 


161 


.585 


.987 


.018 


4 


.662 


.984 


.038 


9 


.406 


.993 


.058 


14 


.275 


.996 




160 


.680 


.983 




3 


.989 


.873 




8 


.641 


.981 




13 


.42? 


.991 




159 


.764 


.978 


.019 


6 


.1Q0 


.999 




7 


.896 


.939 




12 


.61? 


.980 




158 


.833 


.973 




5 


.397 


.995 


.O40 


12 


.093 


.999 




1 1 


.817 


.955 




157 


.887 


.968 




4 


.740 


.977 




1 1 


.173 


.998 




10 


.96? 


.900 




156 


.927 


.962 


.020 


7 


.103 


.999 




10 


.302 


.996 


.060 


17 


.074 


.999 




155 


.955 


.956 




6 


.228 


.998 




9 


.493 


.989 




15 


.210 


.997 




154 


.974 


.950 




5 


.459 


.993 




8 


.742 


.970 




14 


.350 


.994 




153 


.985 


.944 




4 


.815 


.967 




7 


.955 


.909 




13 


.493 


.987 


.950 


174 


.1 13 


.999 


.021 


7 


.127 


.999 


.042 


13 


.066 


.999 




12 


.690 


.973 




173 


.206 


.998 




6 


.270 


.997 




1 1 


.222 


.997 




1 1 


.881 


.939 




172 


.327 


.996 




5 


.524 


.991 




10 


.373 


.994 




10 


.983 


.874 




171 


.464 


.993 




4 


.881 


.952 




9 


.586 


.984 


.062 


17 


.095 


.999 




170 


.600 


.990 


.022 


7 


.153 


.999 




8 


.834 


.955 




16 


.160 


.998 




169 


.723 


.986 




6 


.316 


.996 




7 


.965 


.874 




15 


.256 


.996 




168 


.821 


.981 




5 


.591 


.987 


.044 


13 


.090 


.999 




14 


.391 


.992 




167 


.892 


.976 




4 


.933 


.931 




12 


.163 


.99P 




13 


.567 


.983 




166 


.939 


.970 


.023 


8 


.085 


.999 




1 1 


.280 


.996 




12 


.766 


.963 




165 


.968 


.965 




7 


.184 


.996 




10 


.453 


.991 




1 1 


.930 


.920 




164 


.984 


.959 




6 


.365 


.995 




9 


.681 


.976 


.064 


18 


.071 


.999 












5 


.660 


.983 




8 


.908 


.933 




16 


.196 


.997 


POPULATION 


190 




4 


.968 


.904 


.046 


14 


.064 


.999 




15 


.307 


.994 










.024 


8 


.103 


.999 




12 


.208 


.997 




14 


.456 


.989 


.002 


1 


.378 


.999 




7 


.217 


.998 




1 1 


.345 


.994 




13 


.64? 


.977 


.003 


1 


.565 


.996 




6 


.418 


.994 




10 


.538 


.986 




12 


.834 


.950 


.004 


2 


.207 


.999 




5 


.728 


.977 




9 


.773 


.965 




1 1 


.963 


.898 




1 


.748 


.989 




4 


.988 


.873 




8 


.958 


.906 


.066 


18 


.090 


.999 


,005 


2 


.302 


.999 


.025 


8 


.125 


.999 


.048 


14 


.086 


.999 




17 


.150 


.998 




1 


.91 1 


.963 




7 


.254 


.997 




13 


.153 


.998 




16 


.238 


.996 


.006 


2 


.408 


.997 




6 


.474 


.992 




12 


.260 


.996 




15 


.363 


.993 


.007 


3 


.176 


.999 




5 


.793 


.968 




1 1 


.417 


.992 




14 


.526 


.985 




2 


.521 


.995 


.026 


8 


.149 


.999 




10 


.626 


.980 




13 


.716 


.969 


.008 


3 


.239 


.999 




7 


.294 


.997 




9 


.853 


.949 




12 


.891 


.935 




2 


.640 


.991 




6 


.533 


.989 




8 


.984 


.874 




1 1 


.98-^ 


.874 


.009 


3 


.310 


.998 




5 


.853 


.956 


.050 


15 


.062 


.999 


.068 


19 


.067 


.999 




2 


.760 


.982 


.023 


9 


.102 


.999 




13 


.194 


.998 




17 


.184 


.997 


.010 


4 


.146 


.999 




8 


.206 


.996 




12 


.319 


.995 




16 


.285 


.995 




3 


.389 


.997 




7 


.383 


.994 




1 1 


.495 


.988 




15 


.424 


.990 




2 


.870 


.965 




6 


.655 


.982 




10 


.715 


.971 




14 


.597 


.980 


.01 1 


4 


.191 


.999 




5 


.944 


.921 




9 


.917 


.928 




13 


.786 


.959 




3 


.475 


.995 


.030 


9 


.144 


.999 


.052 


15 


.082 


.999 




12 


.954 


.917 




2 


.953 


.929 




8 


.274 


.997 




14 


.144 


.998 


.070 


19 


.085 


.999 


.012 


4 


.243 


.998 




7 


.484 


.991 




13 


.242 


.997 




18 


. 140 


.998 




3 


.565 


.992 




6 


.774 


.969 




12 


.385 


.993 




17 


.22? 


.997 


.013 


5 


.120 


.999 




5 


.987 


.873 




1 1 


.577 


.983 




16 


.337 


.993 




4 


.301 


.998 


.032 


10 


.100 


.999 




10 


.797 


.960 




15 


.488 


.987 




3 


.659 


.987 




9 


.194 


.998 




9 


.960 


.902 




14 


.669 


.974 


.014 


5 


.154 


.999 




8 


.353 


.995 


.054 


16 


.059 


.999 




13 


.848 


.946 




4 


.364 


.996 




7 


.593 


.985 




14 


.182 


.998 




12 


.964 


.896 




3 


.752 


.979 




6 


.878 


.947 




13 


.296 


.995 


.075 


21 


.053 


.999 


.015 


5 


.193 


.999 


.034 


10 


.137 


.999 




12 


.456 


.990 




19 


.146 


.998 




4 


.433 


.995 




9 


.255 


.997 




1 1 


.661 


.976 




18 


.227 


.996 




3 


.840 


.966 




8 


.442 


.992 




10 


.869 


.944 




17 


.3 59 


.993 


.016 


6 


.099 


.999 




7 


.704 


.976 




9 


.984 


.874 




16 


.486 


.987 




5 


.237 


.998 




6 


.950 


.915 


.056 


16 


.078 


.999 




15 


.659 


.974 




4 


.507 


.993 


.036 


1 1 


.097 


.999 




15 


.136 


.998 




14 


.85? 


.949 




3 


.913 


.945 




10 


.183 


.998 




14 


.225 


.997 




13 


.953 


.904 


.017 


6 


.126 


.999 




9 


.326 


.995 




13 


.356 


.993 


.080 


22 


.057 


.999 




5 


.286 


.997 




8 


.539 


.987 




12 


.533 


.985 




20 


.150 


.998 




4 


.583 


.989 




7 


.808 


.961 




1 1 


.742 


.967 




19 


.231 


.996 




3 


.964 


.913 




6 


.986 


.874 




10 


.924 


.924 




18 


.341 


.993 


.018 


6 


.156 


.999 


.038 


12 


.068 


.999 


.058 


17 


.057 


.999 




17 


.483 


.987 




5 


.339 


.996 




10 


.238 


.997 




15 


.170 


.998 




16 


.649 


.975 



178 



FINITE QUEUING TABLES 

X M D F X M 







POPULATION 190 



190 



.080 15 .817 .952 

14 .941 .91 1 

.085 23 .060 .999 

21 .155 .998 

20 .234 .996 

19 .342 .993 

18 .479 .986 



17 .640 .975 

16 .803 .954 

15 .929 .917 

14 .987 .865 

,090 24 .064 .999 

22 .159 .998 

21 .237 ,996 



20 .343 .992 

19 .476 .986 

18 .631 .975 

17 .790 .956 

16 .917 .922 

15 .982 .875 

.095 25 .067 .999 



.115 25 .342 .992 .145 
24 .458 .986 
23 .592 .977 
22 .731 .963 
21 .856 .940 
20 .943 .908 
19 .985 .868 



.120 31 .051 .999 

29 .119 .998 

28 .174 .997 

27 .247 .995 

26 .341 .992 

25 .455 .986 .150 

24 .585 .978 



23 .721 .964 

22 .844 .943 

21 .934 .913 

20 .981 .875 

.125 32 .053 .999 

30 .121 .998 

29 .176 .997 



36 


.059 


.999 .1 


170 38 


.183 


.996 


34 


.127 


.998 


37 


.247 


.994 


33 


.180 


.997 


36 


.325 


.991 


32 


.249 


.995 


35 


.41 ^ 


.987 


31 


.334 


.991 


34 


.52? 


.981 


30 


.436 


.987 


33 


.653 


.972 


29 


.551 


.979 


32 


.74? 


.959 


28 


.673 


.968 


31 


.839 


.942 


27 


.790 


.952 


30 


.914 


.920 


26 


.886 


.930 


29 


.96? 


.894 


25 


.951 


.902 


28 


.987 


.866 


24 


.984 


.870 .1 


1 80 44 


.045 


.999 


37 


.060 


.999 


42 


.095 


.998 


35 


.128 


.998 


40 


.18^ 


.996 


34 


.181 


.997 


39 


.245 


.994 


33 


.249 


.994 


38 


.321 


.991 


32 


.332 


.991 


37 


.41 1 


.987 


31 


.432 


.987 


36 


.51 1 


.981 


30 


.545 


.980 


35 


.61 8 


.973 


29 


.665 


.969 


34 


.725 


.961 


28 


.780 


.954 


33 


.821 


.945 



100 



105 



23 


.162 


.997 


28 


.248 


.995 


27 


.877 


.933 


22 


.240 


.996 


27 


.340 


.992 


26 


.944 


.906 


21 


.343 


.992 


26 


.451 


.986 


25 


.981 


.875 


20 


.473 


.986 


25 


.578 


.978 


155 39 


.040 


.999 


19 


.623 


.976 


24 


.710 


.965 


36 


.129 


.998 


18 


.777 


.957 


23 


.833 


.945 


35 


.182 


.996 


17 


.904 


.927 


22 


.925 


.917 


34 


.248 


.994 


16 


.975 


.883 


21 


.976 


.882 


33 


.331 


.991 


26 


.069 


.999 .1 


130 33 


.054 


.999 


32 


.429 


.987 


24 


.165 


.997 


31 


.123 


.996 


31 


.539 


.980 


23 


.242 


.995 


30 


.177 


.997 


30 


.657 


.970 


22 


.343 


.992 


29 


.248 


.995 


29 


.770 


.955 


21 


.469 


.986 


28 


.339 


.992 


28 


.867 


.935 


20 


.615 


.976 


27 


.447 


.986 


27 


.937 


.910 


19 


.765 


.959 


26 


.571 


.978 


26 


.977 


.881 


18 


.892 


.931 


25 


.701 


.966 .1 


160 40 


.041 


.999 


17 


.968 


.891 


24 


.822 


.947 


37 


.130 


.998 


27 


.072 


.999 


23 


.915 


.921 


36 


.182 


.996 


26 


.1 12 


.998 


22 


.970 


.887 


35 


.248 


.994 


25 


.168 


.997 .1 


135 34 


.056 


.999 


34 


.329 


.991 


24 


.244 


.995 


32 


.124 


.998 


33 


.425 


.987 



,190 



.200 



32 .899 .926 

31 .95? .902 

30 .981 .876 

46 .046 .999 

44 .096 .998 

42 .18? .996 

41 .243 .994 



40 .317 .991 

39 .403 .987 

38 .500 .982 

37 .604 .974 

36 .708 .963 

35 .804 .949 

34 .883 .931 



33 .940 .909 

32 .974 .884 

48 .047 .999 

46 .09-7 .998 

45 .1 54 .997 

44 .18? .996 

43 .241 .994 



110 



23 .343 .992 
22 .466 .986 
21 .607 .977 
20 .753 .960 
19 .880 .934 
18 .960 .897 
29 .047 .999 



31 .178 .997 
30 .249 .995 
29 .337 .991 
28 .443 .986 
27 .564 .979 
26 .691 .967 
25 .811 .949 



32 .533 .950 

31 .648 .970 

30 .761 .957 

29 .858 .938 

28 .930 .914 

27 .972 .886 

165 41 .042 .999 



42 .313 .992 

41 .396 .988 

40 .490 .982 

39 .591 .975 

38 .69? .965 

37 .787 .951 

36 .867 .935 



.115 



27 


.114 


.998 


26 


.170 


.997 


25 


.245 


.995 


24 


.342 


.992 


23 


.462 


.986 


22 


.599 


.977 


21 


.742 


.962 


20 


.867 


.937 


19 


.952 


.903 


18 


.989 


.860 


30 


.049 


.999 


28 


.117 


.998 


27 


.172 


.997 


26 


.246 


.995 



I 140 



24 .906 .924 
23 .964 .893 
"^5 .057 .999 
33 .126 .998 
32 .179 .997 
31 .249 .995 
30 .336 .991 



29 .440 .987 
28 .558 .979 
27 .682 .967 
26 .800 .951 
25 .896 .927 
24 .958 .89b 
23 .988 .864 



170 



38 


.131 


.998 


35 


.927 


.915 


37 


.182 


.996 


34 


.966 


.892 


36 


.247 


.994 


33 


.987 


.867 


35 


.327 


.991 .210 50 


.04« 


.999 


34 


.421 


.987 


48 


.097 


.998 


33 


.528 


.980 


47 


.1 54 


.997 


32 


.641 


.971 


46 


.181 


.996 


31 


.751 


.958 


45 


.259 


.994 


30 


.849 


.940 


44 


.300 


.992 


29 


.922 


.917 


43 


.389 


.988 


28 


.967 


.890 


42 


.481^ 


.983 


27 


.969 


.860 


41 


.578 


.976 


42 


.043 


.999 


40 


.677 


.966 


39 


.132 


.998 


39 


.771 


.954 



179 



FINITE QUEUING TABLES 



M 



D 



,210 38 .852 .939 
37 .915 .920 
36 .957 .899 
35 .982 .876 

.220 52 .049 .999 
50 .098 .998 
49 .134 .997 



48 .180 .996 

47 .236 .994 

46 .304 .992 

45 .383 .988 

44 .471 .983 

43 .566 .977 

42 .662 .968 



41 .755 .956 

40 .836 .942 

39 .902 .925 

38 .948 .905 

37 .976 .883 

,230 54 .049 .999 

52 .098 .998 



51 .133 .997 

50 .178 .996 

49 .233 .994 

48 .299 .992 

47 .376 .988 

46 .461 .984 

45 .554 .977 



44 .648 .969 
43 .739 .958 
42 .821 . .945 
41 .888 .929 
40 .937 .91 1 
39 .969 .890 
38 .987 .869 



X 
.250 

.260 



.270 



45 


.862 


.936 


?90 57 


.490 


.981 


44 


.916 


.920 


56 


.573 


.975 


43 


.954 


.902 


55 


.657 


.968 


42 


.977 


.883 


54 


.737 


.959 


61 


.035 


.999 


53 


.809 


.948 


58 


.097 


.998 


52 


.870 


.935 


57 


.131 


.997 


51 


.918 


.920 


56 


.173 


.996 


50 


.952 


.905 


55 


.224 


.995 


49 


.974 


.888 


54 


.285 


.992 


48 


.988 


.871 


53 


.356 


.989 


500 69 


.035 


.999 


52 


.435 


.985 


66 


.094 


.998 


51 


.520 


.980 


65 


.125 


.997 


50 


.609 


.973 


64 


.164 


.996 


49 


.696 


.964 


63 


.21 1 


.995 


48 


.778 


.953 


62 


.267 


.993 


47 


.848 


.939 


61 


.331 


.990 


46 


.905 


.924 


60 


.402 


.987 


45 


.945 


.907 


59 


.480 


.982 


44 


.972 


.889 


58 


.562 


.976 


43 


.987 


.870 


57 


.644 


.969 


63 


.035 


.999 


56 


.724 


.960 


60 


.096 


.998 


55 


.796 


.950 


59 


.130 


.997 


54 


.858 


.938 


58 


.171 


.996 


53 


.908 


.924 


57 


.221 


.995 


52 


.945 


.909 


56 


.281 


.992 


■^1 


.969 


.893 


55 


.350 


.989 


50 


.934 


.876 


54 


.427 


.985 .310 71 


.035 


.999 


53 


.510 


.980 


68 


.093 


.998 


52 


.597 


.974 


67 


.124 


.997 


51 


.683 


.965 


66 


.162 


.996 


50 


.764 


.955 


65 


.208 


.995 


49 


.835 


.942 


64 


.262 


.993 


48 


.893 


.926 


63 


.324 


.990 



.330 



POPULATION 190 - 190 

F X M D F 

.320 54 .977 .887 

53 .98R .871 

75 .055 .999 

72 .090 .998 

70 .156 .997 

69 .200 .995 

68 .25? .993 



67 .31? .991 

66 .379 .988 

65 .453 .984 

64 .530 .979 

63 .609 .972 

62 .687 .965 

61 .759 .956 



bO .824 .945 

59 .878 .934 

58 .921 .921 

57 .95? .907 

56 .973 .892 

55 .986 .877 

.340 77 .054 .999 



74 .089 .998 

72 .154 .997 

71 .197 .995 

70 .24R .993 

69 .306 .991 

68 .37? .988 

67 .44a .984 



66 .52^^ .979 

65 .598 .973 

64 .675 .966 

63 .747 .958 

62 .81? .948 

61 .868 .936 

60 .91? .924 



.240 



56 .050 .999 

54 .098 .998 

53 .133 .997 

52 .177 .996 

51 .231 .994 

50 .295 .992 

49 .369 .989 



48 


.452 


.984 


47 


.542 


.978 


46 


.635 


.970 


45 


.725 


.960 


44 


.806 


.948 


43 


.875 


.933 


42 


.927 


.916 


41 


.962 


.897 


40 


.982 


.876 


250 59 


.035 


.999 


56 


.097 


.998 


55 


.132 


.997 


54 


.175 


.996 


53 


.228 


.994 


52 


.290 


.992 


51 


.363 


.989 


50 


.444 


.985 


49 


.531 


.979 


48 


.621 


.971 


47 


.710 


.962 


46 


.792 


.950 



.280 



.290 



47 .937 .912 
46 .966 .895 
45 .983 .876 
65 .035 .999 
62 .096 .998 
61 .128 .997 
60 .169 .996 



59 .218 .995 
58 .276 .993 
57 .343 .990 
56 .418 .986 
55 .500 .981 
54 .585 .974 
53 .670 .967 



52 .750 .957 
51 .822 .945 
50 .882 .932 
49 .927 .916 
48 .959 .900 
47 .979 .882 
67 .035 .999 



64 .095 .998 

63 .127 .997 

62 .166 .996 

61 .215 .995 

60 .271 .993 

59 .337 .990 

58 .410 .986 



.320 



62 .395 .987 

61 .471 .983 

60 .551 .977 

59 .632 .970 

58 .711 .962 

57 .784 .952 

56 .847 .940 



55 .898 .927 

54 .937 .913 

53 .964 .898 

52 .981 .882 

73 .035 .999 

70 .092 .998 

69 .122 .997 



68 .159 .996 

67 .204 .995 

66 .257 .993 

65 .318 .991 

64 .387 .987 

63 .462 .983 

62 .540 .978 



61 .621 .971 

60 .699 .963 

59 .771 .954 

58 .835 .943 

57 .888 .931 

56 .929 .917 

55 .958 .902 



.360 



.380 



59 


.945 


.910 


58 


.968 


.896 


57 


.983 


.882 


81 


.053 


.999 


78 


.086 


.998 


76 


.148 


.997 


75 


. 189 


.995 


74 


.258 


.994 


73 


.294 


.992 


72 


.357 


.989 


71 


.427 


.985 


70 


.500 


.981 


69 


.576 


.975 


68 


.65? 


.969 


67 


.724 


.961 


66 


.790 


.952 


65 


.847 


.941 


64 


.895 


.930 


63 


.951 


.918 


62 


.958 


.904 


61 


.976 


.891 


60 


.987 


.877 


85 


.05? 


.999 


82 


.08? 


.998 


80 


.14? 


.997 


79 


.182 


.996 


78 


.229 


.994 


77 


.262 


.992 



180 



FINITE QUEUING TABLES 
X M D F X 



.380 



76 


.343 


.989 


75 


.410 


.986 


74 


.481 


.982 


73 


.555 


.977 


7? 


.630 


.971 


71 


.701 


.964 



70 .768 .955 



.440 



M 



D 



85 .497 .981 
84 .568 .976 
83 .638 .971 
82 .705 .964 
81 .767 .957 
80 .823 .948 
79 .870 .939 



.500 



POPULATION 190 - 190 



96 


.511 


.981 


.560 109 


.39? 


.988 


95 


.579 


.976 


108 


.457 


.985 


94 


.646 


.971 


107 


.523 


.981 


93 


.710 


.965 


106 


.590 


.976 


92 


.769 


.958 


105 


.656 


.971 


91 


.822 


.950 


104 


.717 


.966 


90 


.867 


.942 


103 


.774 


.959 



.400 



.420 



,440 



69 


.827 


.946 


68 


.877 


.935 


67 


.917 


.924 


66 


.947 


.912 


65 


.968 


.899 


64 


.982 


.886 


88 


.043 


.999 


85 


.105 


.998 


84 


.136 


.997 


83 


.174 


.996 


82 


.219 


.994 


81 


.271 


.993 


80 


.329 


.990 


79 


.394 


.987 


78 


.463 


.983 


77 


.535 


.978 


76 


.608 


.973 


75 


.680 


.966 


74 


.746 


.958 


73 


.807 


.950 


72 


.859 


.940 


71 


.901 


.929 


70 


.934 


.918 


69 


.959 


.906 


68 


.975 


.894 


67 


.986 


.881 


92 


.041 


.999 


89 


.100 


.998 


88 


.130 


.997 


87 


.166 


.996 


86 


.209 


.995 


85 


.259 


.993 


84 


.316 


.991 


83 


.378 


.988 


82 


.446 


.984 


81 


.516 


.980 


80 


.588 


.975 


79 


.658 


.969 


78 


.725 


.961 


77 


.787 


.953 


76 


.841 


.944 


75 


.886 


.934 


74 


.922 


.924 


73 


.949 


.913 


72 


.968 


.901 


71 


.981 


.889 


70 


.990 


.877 


96 


.038 


.999 


93 


.095 


.998 


92 


.123 


.997 


91 


.158 


.996 


90 


.200 


.995 


89 


.248 


.993 


88 


.302 


.991 


87 


.363 


.989 


86 


.428 


.985 



78 .908 .929 

77 .938 .919 

76 .960 .908 

75 .976 .896 

74 .986 .885 

.460 100 .036 .999 

97 .089 .996 



95 .150 .997 
94 .190 .995 
93 .237 .994 
92 .289 .992 
91 .348 .989 
90 .411 .986 
89 .479 .982 



83 .548 .978 
87 .618 .973 
86 .685 .967 
85 .748 .960 

84 .805 .952 
83 .854 .943 
82 .895 .934 



81 .927 .924 

80 .952 .914 

79 .969 .903 

78 .982 .892 

77 .989 .881 

.480 104 .034 .999 

101 .084 .998 



99 .142 .997 
98 .181 .996 
97 .225 .994 
96 .276 .992 
95 .333 .990 
94 .395 .987 
93 .461 .984 



92 .529 .979 
91 .598 .975 
90 .665 .969 
89 .729 .962 
88 .787 .955 
87 .838 .947 
86 .881 .93fa 



85 .916 .929 

84 .943 .919 

83 .963 .909 

82 .977 .898 

PI .986 .888 

.500 107 .043 .999 

104 .104 .998 



103 .134 .997 

102 .171 .996 

101 .214 .995 

100 .263 .993 

99 .318 .991 

98 .379 .988 

97 .443 .985 



89 .904 .933 

88 .933 .924 

87 .955 .914 

86 .971 .904 

85 .982 .894 

84 .990 .884 

.520 111 .040 .999 



102 .825 .952 

101 .868 .945 

100 .903 .937 

99 .95? .928 

98 .953 .920 

97 .969 .911 

96 .980 .902 



108 


.097 


.998 


95 


.988 


.893 


107 


.1 26 


.997 


.580 122 


.04 1 


.999 


106 


.161 


.996 


1 19 


.10? 


.998 


105 


.203 


.995 


1 18 


.1 5? 


.997 


104 


.250 


.993 


1 17 


.169 


.996 


103 


.304 


.991 


1 16 


.21? 


.995 


102 


.363 


.989 


1 15 


.261 


.993 


101 


.426 


.986 


1 14 


.315 


.991 


100 


.492 


.982 


1 13 


.375 


.989 


99 


.560 


.978 


1 12 


.459 


.986 


98 


.627 


.973 


1 1 1 


.505 


.982 


97 


.692 


.967 


1 10 


.57? 


.978 


96 


.752 


.961 


109 


.658 


.973 


95 


.806 


.953 


108 


.700 


.968 


94 


.853 


.946 


107 


.758 


.962 


93 


.892 


.937 


106 


.810 


.955 


92 


.924 


.929 


105 


.855 


.948 


91 


.948 


.919 


104 


.89^ 


.940 


90 


.966 


.910 


103 


.923 


.932 


89 


.978 


.900 


102 


.947 


.924 


88 


.987 


.890 


101 


.964 


.916 


540 1 1 5 


.036 


.999 


100 


.977 


.907 


1 12 


.090 


.998 


99 


.986 


.898 


1 10 


.152 


.997 


.600 126 


.057 


.999 


109 


.191 


.995 


123 


.09^ 


.998 


108 


.237 


.994 


121 


.157 


.997 


107 


.289 


.992 


120 


.199 


.995 


106 


.347 


.990 


1 19 


.246 


.994 


105 


.409 


.987 


1 18 


.300 


.992 


104 


.474 


.983 


1 17 


.358 


.990 


103 


.542 


.979 


1 16 


.421 


.987 


102 


.609 


.975 


1 15 


.487 


.983 


101 


.674 


.969 


1 14 


.554 


.980 


100 


.735 


.963 


1 13 


.620 


.975 


99 


.790 


.956 


1 12 


.684 


.970 


98 


.839 


.949 


1 1 1 


.747 


.964 


97 


.880 


.941 


1 10 


.796 


.958 


96 


.914 


.933 


109 


.84-' 


.951 


95 


.940 


.924 


108 


.883 


.944 


94 


.960 


.915 


107 


.915 


.936 


93 


.974 


.906 


106 


.940 


.928 


92 


.984 


.896 


105 


.959 


.920 


560 119 


.033 


.999 


104 


.973 


.912 


1 16 


.084 


.998 


103 


.983 


.903 


1 14 


.142 


.997 


102 


.990 


.895 


113 


.180 


.996 


.650 135 


.058 


.999 


1 12 


.224 


.994 


132 


.098 


.998 


1 1 1 


.275 


.993 


131 


.129 


.997 


110 


.331 


.991 


129 


.210 


.995 



181 



FINITE QUEUING TABLES 
X M D F X 



POPULATION 190 - 200 
X M D F 



.650 128 .260 .994 

127 .316 .992 

126 .377 .989 

125 .442 .986 

124 .509 .983 

123 .576 .979 

122 .642 .975 



121 .704 .970 

120 .762 .964 

119 .813 .958 

118 .857 .951 

117 .894 .945 

116 .923 .937 

1 15 .946 .930 



114 .964 .922 

113 .976 .914 

112 .985 .907 

.700 144 .037 .999 

141 .100 .998 

140 .132 .997 

138 .218 .995 



137 .272 .994 

136 .331 .992 

135 .395 .989 

134 .462 .986 

133 .531 .983 

132 .600 .979 

131 .666 .974 



130 .727 .969 

129 .783 .964 

128 .832 .958 

127 .873 .952 

126 .907 .945 

125 .934 .938 

124 .954 .931 



123 


.970 


.924 


122 


.980 


.917 


121 


.988 


.910 


750 152 


.049 


.999 


150 


.098 


.998 


148 


.175 


.997 


147 


.225 


.995 


146 


.282 


.994 


145 


.345 


.992 


144 


.413 


.989 


143 


.485 


.986 


142 


.556 


.983 


141 


.627 


.979 



.800 154 .359 .992 

153 .433 .989 

152 .510 .986 

151 .586 .983 

150 .659 .979 

149 .727 .974 

1U8 .787 .969 



147 .839 .964 

146 .881 .958 

145 .916 .953 

144 .942 .947 

143 .961 .940 

142 .975 .934 

141 .984 .927 



.850 



169 


.051 


.999 


167 


.117 


.998 


166 


.166 


.997 


165 


.225 


.996 


164 


.295 


.995 


163 


.373 


.992 


162 


.456 


.990 


161 


.541 


.987 


160 


.623 


.983 


159 


.700 


.979 


158 


.769 


.974 


157 


.828 


.969 


156 


.876 


.964 


155 


.914 


.959 



154 .942 .953 

153 .962 .947 

152 .976 .941 

151 .986 .935 

.900 177 .054 .999 

175 .144 .998 

174 .?11 .997 



.950 



140 .693 .974 



173 


.293 


.995 


172 


.386 


.993 


171 


.485 


.991 


170 


.583 


.987 


169 


.676 


.984 


168 


.758 


.979 


167 


.827 


.975 


166 


.881 


.969 


165 


.922 


.964 


164 


.951 


.959 


163 


.970 


.953 


162 


.983 


.947 


184 


.086 


.999 


183 


.163 


.996 



POPULATION 


200 


.002 


1 


.397 


.999 


.003 


1 


.594 


.996 


.004 


2 


.226 


.999 




1 


.785 


.987 


.005 


2 


.329 


.998 




1 


.946 


.949 


.006 


2 


.443 


.997 


.007 


3 


.198 


.999 




2 


.565 


.994 


.008 


3 


.268 


.999 




2 


.692 


.988 


.009 


4 


.125 


.999 




3 


.347 


.997 




2 


.815 


.976 


.010 


4 


.169 


.999 




3 


.434 


.996 




2 


.920 


.950 




1 


.920 


.950 


.01 1 


4 


.221 


.999 




3 


.527 


.993 




2 


.982 


.899 




1 


.982 


.899 


.012 


4 


.279 


.998 




3 


.625 


.989 


.01 3 


5 


.143 


.999 




4 


.344 


.997 




3 


.724 


.983 


.014 


5 


.183 


.999 




4 


.415 


.996 




3 


.819 


.971 


.01 5 


5 


.228 


.998 




4 


.492 


.993 




3 


.902 


.951 


.016 


6 


.122 


.999 




5 


.279 


.998 




4 


.572 


.990 




3 


.960 


.920 


.017 


6 


.153 


.999 




5 


.334 


.997 



.018 



,oi9 



4 .655 .986 



.989 .878 

.188 .999 

.395 .995 

.738 .979 

.103 .999 

.228 .998 

.4o0 .994 



.023 



.024 



.025 



.026 



8 .108 .999 
7 ,225 .998 



.028 



.030 



.032 



.034 



.036 



.038 



6 


.431 


.994 


5 


.744 


.976 


8 


.1 51 


.999 


7 


.265 


.997 


6 


.491 


.992 


5 


.81 ' 


.966 


8 


.158 


.999 


7 


.30° 


.996 


6 


.55^ 


.989 


5 


.67^ 


.953 


9 


.091 


.999 



8 .187 .998 



7 


.35^=; 


.995 


6 


.618 


.985 


5 


.92^ 


.935 


9 


.1 5? 


.999 


8 


.255 


.997 


7 


.458 


.992 


6 


.746 


.974 


5 


.981 


.887 


10 


.09^ 


.999 


9 


.184 


.998 


8 


.356 


.996 


7 


.571 


.987 


6 


.86? 


.953 


10 


.1 5? 


.999 


9 


.246 


.997 


8 


.42q 


.993 


7 


.689 


.978 


6 


.944 


.921 


1 1 


.094 


.999 


10 


.179 


.998 


9 


.319 


.996 


8 


.551 


.988 


7 


.801 


.964 


6 


.985 


.879 


1 1 


.1 5'^ 


.999 


10 


.256 


.997 


9 


.40? 


.993 


8 


.658 


.982 


7 


.89"=. 


.942 


12 


.094 


.999 


1 1 


.174 


.998 


10 


.30 3 


.996 


9 


.495 


.990 


8 


.74'=> 


.971 


7 


.957 


.910 



139 .754 .969 

138 .808 .964 

137 .855 .958 

136 .893 .952 

135 .923 .946 

134 .9'i7 .939 

133 .964 .933 



182 .269 .997 4 .817 .968 .040 

181 .397 .995 .020 7 .128 .999 

190 .532 .992 6 .273 .997 

179 .660 .988 5 .528 .991 

178 .769 .984 4 .886 .952 

177 .854 .980 .021 7 .157 .999 

176 .913 .974 6 .322 .997 .042 



13 .06'^ .999 

11 .226 .997 

10 .379 .994 

9 .594 .984 

8 .84? .955 

7 .987 .872 

13 .093 .999 



132 .977 .926 

131 .985 .919 

.800 161 .043 .999 

158 .129 .998 

157 .174 .997 

156 .228 .996 

155 .290 .994 



175 .952 .969 
174 .975 .964 
173 .988 .958 



.022 



.600 .988 

.940 .929 

.088 .999 

.189 .998 

.374 .995 

.672 .983 

.974 .900 



.044 



12 .168 .998 

11 .287 .996 
10 .463 .991 

9 .694 ,976 

8 .91 P .931 

14 .068 .999 

12 .21'7 .997 



182 



,04a 



.046 



,048 



,050 



,052 



.054 



,056 



,058 



.060 



,062 



QUEUING TABLES 














POPULATION 


200 - 


- 200 


M 


D 


F X 


M 


D 


F 


X M 


D 


F 


X M 


D 


F 


1 1 


.357 


.994 .062 


13 


.693 


.973 .090 22 


.237 


.996 


.120 26 


.436 


.985 


10 


.554 


.986 


12 


.875 


.942 


21 


.340 


.993 


25 


.615 


.976 


9 


.790 


.963 


1 1 


.979 


.883 


20 


.469 


.987 


24 


.747 


.961 


a 


.966 


.901 .064 


19 


.063 


.999 


19 


.619 


.977 


23 


.863 


.940 


14 


.092 


.999 


17 


.174 


.998 


IS 


.775 


.959 


22 


.94-^ 


.910 


1 3 


.162 


.998 


16 


.271 


.996 


17 


.904 


.929 


21 


.984 


.873 


12 


.273 


.996 


15 


.406 


.991 


16 


.976 


.886 


. 1 25 33 


.064 


.999 


1 1 


.435 


.991 


14 


.578 


.982 .095 26 


.070 


.999 


31 


.141 


.998 


10 


.648 


.979 


13 


.768 


.963 


24 


.167 


.997 


30 


.200 


.996 


9 


.872 


.946 


12 


.926 


.923 


23 


.244 


.996 


29 


.278 


.994 


8 


.989 


.867 .066 


19 


.081 


.999 


22 


.346 


.992 


28 


.374 


.990 


15 


.067 


.999 


18 


.134 


.998 


21 


.472 


.987 


27 


.487 


.985 


1 3 


.207 


.997 


17 


.213 


.997 


20 


.619 


.977 


26 


.61 4 


.976 


12 


.337 


.994 


16 


.325 


.994 


19 


.770 


.960 


25 


.74^ 


.962 


1 1 


.518 


.987 


15 


.473 


.988 


18 


.896 


.931 


24 


.656 


.941 


10 


.740 


.969 


14 


.654 


.976 


17 


.971 


.891 


23 


.958 


.913 


9 


.934 


.922 


13 


.337 


.951 


00 27 


.075 


.999 


22 


.981 


.878 


15 


.090 


.999 


12 


.961 


.902 


26 


.1 16 


.999 


. 1 30 35 


.04 (J 


.999 


1 4 


.157 


.998 .068 


20 


.061 


.999 


25 


.173 


.997 


32 


.145 


.998 


1 3 


.260 


.996 


13 


.166 


.998 


24 


.251 


.995 


31 


.205 


.996 


12 


.409 


.992 


17 


.258 


.996 


23 


.352 


.992 


30 


.28? 


.994 


1 1 


.606 


.982 


16 


.383 


.992 


22 


.476 


.986 


29 


.377 


.990 


10 


.825 


.956 


15 


.544 


.984 


21 


.618 


.976 


28 


.489 


.984 


9 


.972 


.894 


14 


.728 


.966 


20 


.765 


.960 


27 


.61 3 


.975 


16 


.066 


.999 


13 


.893 


.935 


19 


.889 


.933 


26 


.759 


.962 


14 


.198 


.997 


12 


.981 


.879 


18 


.965 


.896 


-rS 


.851 


.942 


13 


.319 


.995 .070 


20 


.078 


.999 


05 29 


.051 


.999 


24 


.952 


.915 


12 


.486 


.989 


19 


.129 


.998 


27 


.121 


.998 


23 


.978 


.882 


1 1 


.695 


.974 


18 


.203 


.997 


26 


.179 


.997 


.135 36 


.046 


.999 


10 


.895 


.937 


17 


.308 


.994 


25 


.257 


.995 


34 


.104 


.998 


16 


.088 


.999 


16 


.447 


.989 


24 


.357 


.992 


33 


.149 


.997 


15 


.151 


.998 


15 


.617 


.979 


23 


.479 


.986 


32 


.209 


.996 


1 4 


.247 


.996 


14 


.797 


.956 


22 


.618 


.976 


31 


.286 


.994 


1 3 


.385 


.993 


13 


.936 


.917 


21 


.760 


.960 


30 


.380 


.990 


12 


.568 


.984 .075 


21 


.085 


.999 


20 


.882 


.935 


29 


.490 


.984 


1 1 


.779 


.963 


20 


.137 


.998 


19 


.960 


.900 


28 


.612 


.975 


10 


.945 


.915 


19 


.212 


.997 


10 30 


.054 


.999 


27 


.735 


.962 


17 


.065 


.999 


18 


.317 


.994 


28 


.126 


.998 


26 


.845 


.943 


15 


.190 


.998 


17 


.453 


.989 


27 


.185 


.997 


25 


.927 


.918 


14 


.302 


.995 


16 


.618 


.978 


26 


.263 


.995 


24 


.974 


.886 


13 


.457 


.990 


15 


.791 


.958 


25 


.362 


.991 


.140 37 


.049 


.999 


12 


.652 


.977 


14 


.928 


.921 


24 


.481 


.985 


35 


.107 


.998 


1 1 


.853 


.949 


13 


.989 


.865 


23 


.617 


.976 


34 


.153 


.997 


10 


.976 


.888 .080 


23 


.056 


.999 


22 


.756 


.961 


33 


.214 


.996 


17 


.086 


.999 


?1 


.145 


.998 


21 


.875 


.937 


32 


.290 


.993 


16 


.145 


.998 


20 


.221 


.996 


20 


.955 


.903 


31 


.383 


.990 


15 


.235 


.997 


19 


.325 


.993 


19 


.990 


.863 


30 


.491 


.984 


14 


.363 


.993 


18 


.459 


.986 .115 31 


.057 


.999 


29 


.610 


.975 


13 


.534 


.986 


17 


.619 


.978 


29 


.131 


.998 


28 


.731 


.962 


12 


.735 


.969 


16 


.786 


.958 


28 


.190 


.997 


27 


.859 


.944 


1 1 


.912 


.930 


15 


.920 


.924 


27 


.268 


.994 


26 


.925 


.920 


18 


.064 


.999 


14 


.985 


.873 


26 


.366 


.991 


25 


.971 


.890 


16 


.181 


.998 .085 


24 


.061 


.999 


25 


.484 


.985 


.145 38 


.051 


.999 


15 


.286 


.995 


22 


.153 


.998 


24 


.616 


.976 


36 


.111 


.998 


14 


.430 


.990 


21 


.229 


.996 


23 


.751 


.961 


35 


.157 


.997 


1 3 


.613 


.980 


20 


.333 


.993 


22 


.869 


.938 


34 


.217 


.996 


12 


.810 


.957 


19 


.464 


.988 


21 


.949 


.907 


33 


.293 


.993 


1 1 


.954 


.908 


13 


.619 


.977 


20 


.987 


.868 


32 


.386 


.989 


18 


.083 


.999 


17 


.780 


.959 .120 32 


.061 


.999 


31 


.492 


.984 


17 


.139 


.998 


16 


.912 


.927 


30 


.136 


.998 


30 


.609 


.975 


16 


.224 


.997 


15 


.980 


.880 


29 


.196 


.996 


?9 


.727 


.963 


15 


.343 


.994 .090 


25 


.066 


.999 


28 


.273 


.994 


28 


.834 


.945 


14 


.502 


.987 


23 


.160 


.998 


27 


.370 


.991 


27 


.916 


.922 



183 



FINITE QUEUING TABLES 
X M D F X 



M 



M 



D 



POPULATION 200 



M 



200 



.145 26 .967 .893 .170 

.150 39 .053 .999 

37 .1 la .998 

36 .161 .997 .180 

35 .221 .995 

34 .297 .993 

33 .388 .989 



32 .891 .930 

31 .947 .907 

•^0 .979 .881 

46 .045 .999 

44 .094 .998 

42 .180 .996 

41 .240 .995 



.220 



51 .150 .997 

50 .198 .996 

49 .257 .994 

48 .326 .991 

47 .406 .987 

46 .494 .982 

45 .587 .975 



.260 



59 .16"^ .997 

58 .21 1 .995 

57 .26R .993 

56 .334 .990 

55 .409 .987 

54 .490 .982 

53 .576 .976 



32 .493 .984 

31 .608 .975 

30 .724 .963 

29 .829 .946 

28 .911 .924 

27 .963 .896 

26 .988 .866 



40 


.313 


.992 


44 


.681 


.966 


52 


.66? 


.968 


39 


.399 


.988 


43 


.770 


.955 


51 


.74U 


.959 


38 


.495 


.983 


42 


.847 


.941 


50 


.818 


.947 


37 


.599 


.975 


41 


.908 


.924 


49 


.880 


.933 


36 


.704 


.965 


40 


.951 


.905 


48 


.927 


.918 


35 


.801 


.951 


39 


.977 


.885 


47 


.959 


.901 


34 


.882 


.933 .230 57 


.042 


.999 


46 


.980 


.883 



155 



40 .056 .999 

38 .117 .998 

37 .164 .997 

36 .225 .995 

35 .300 .993 

34 .390 .989 

33 .494 .983 



il90 



33 .939 .91 1 
32 .974 .887 
48 .049 .999 
46 .099 .998 
45 .137 .997 
44 .185 .996 
43 .245 .994 



54 .114 .998 

53 .153 .997 

52 .202 .996 

51 .260 .994 

50 .329 .991 

49 .407 .987 

48 .493 .982 



.270 66 .035 .999 

63 .094 .998 

61 .165 .996 

60 .213 .995 

59 .27n .993 

58 .355 .990 

57 .409 .987 



160 



32 .606 .975 

31 .720 .963 

30 .824 .947 

29 .906 .925 

28 .959 .899 

27 .986 .870 

41 .058 .999 



39 .120 .998 

38 .168 .997 

37 .228 .995 

36 .303 .993 

35 .392 .989 

34 ,494 .983 

33 .605 .975 



.200 



42 .317 .992 

41 .401 .988 

40 .495 .983 

39 .596 .975 

38 .698 .965 

37 .793 .952 

36 .872 .935 



35 .931 .915 
34 .969 .892 
33 .988 .868 
50 .052 .999 
48 .103 .998 
47 .141 .997 
46 .190 .996 



.240 



47 


.584 


.976 


45 


.676 


.967 


45 


.763 


.956 


44 


.839 


.943 


43 


.901 


.927 


42 


.945 


.909 


41 


.973 


.890 


40 


.988 


.869 


59 


.044 


.999 


56 


.118 


.998 


55 


.157 


.997 


54 


.205 


.995 


53 


.263 


.993 


52 


.331 


.991 



,280 



56 .489 .982 

55 .573 .976 

54 .657 .969 

53 .73R .959 

52 .81 1 .948 

51 .873 .935 

50 .921 .921 



49 .955 .905 

48 .977 .888 

47 .989 .870 

68 .037 .999 

65 .096 .998 

64 .12R .997 

63 .168 .996 



165 



32 .717 .964 

31 .819 .948 

30 .901 .927 

29 .955 .902 

28 .984 .874 

43 .040 .999 

40 .123 .998 



45 .249 .994 
44 .321 .991 
43 .403 .988 
42 .495 .982 
41 .593 .975 
40 .692 .966 
39 .785 .953 



51 .408 .987 

50 .492 .982 

49 .581 .976 

48 .671 .967 

47 .756 .957 

46 .832 .944 

45 .894 .929 



62 .215 .995 

61 .271 .993 

60 .356 .990 

.409 .987 

.487 .982 

57 .570 .976 

56 .65^ .969 



59 

58 



39 .171 .997 

38 .231 .995 

37 .306 .992 

36 .394 .989 

35 .495 .983 

34 .604 .975 

33 .714 .964 



.210 



33 .864 .937 
37 .924 .919 
36 .963 .897 
35 .985 .874 
53 .038 .999 
50 .107 .996 
49 .146 .997 



.250 



44 
43 
42 



.939 .912 

.969 .894 

.986 .874 

61 .046 .999 

59 .089 .998 

57 .160 .997 

56 .208 .995 



55 .75"^ .960 

54 .805 .949 

53 .866 .937 

52 .915 .923 

51 .950 .908 

50 .973 .891 

49 .967 .874 



.170 



32 .814 .949 

31 .896 .929 

30 .951 .905 

29 .982 .877 

44 .042 .999 

41 .126 .998 

40 .174 .997 



48 .194 .996 

47 .253 .994 

46 .324 .991 

45 .405 .987 

44 .495 .982 

43 .590 .975 

42 .687 .966 



55 .265 .993 

54 .332 .991 

'='3 .408 .987 

52 .491 .982 

51 .578 .976 

50 .666 .968 

49 .750 .958 



.290 70 .053 .999 

67 .098 .998 

66 . 1 30 .997 

65 .170 .996 

64 .217 .995 

63 .273 .993 

b2 .357 .990 



39 .234 .995 



41 .777 .954 



48 .825 .946 



61 .408 .987 



38 


.308 


.992 


40 


.855 


.939 


47 


.887 


.931 


60 


.486 


.982 


37 


.396 


.988 


39 


.916 


.922 


45 


.933 


.915 


59 


.567 


.977 


36 


.495 


.983 


38 


.957 


.902 


45 


.964 


.898 


58 


.649 


.969 


35 


.602 


.975 


37 


.981 


.880 


44 


.983 


.879 


57 


.727 


.961 


34 


.710 


.964 


.220 55 


.040 


.999 


.'60 63 


.048 


.999 


56 


.799 


.951 


33 


.810 


.949 


52 


.111 


.998 


61 


.092 


.998 


55 


.860 


.939 



184 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION 200 - 200 

F X M D F 



,290 



.300 



,310 



,320 



,330 



5a .909 .925 

53 .945 .91 1 

52 .970 .895 

51 .985 .879 

72 .039 .999 

69 .100 .998 

68 .132 .997 



67 .172 .996 
66 .219 .995 
65 .274 .993 
64 .338 .990 
63 .408 .987 
62 .484 .982 
61 .564 .977 



60 .644 .970 

59 .722 .962 

58 .793 .952 

57 .854 .940 

56 .904 .927 

55 .941 .913 

54 .966 .898 



53 .982 .882 

74 .040 .999 

71 .102 .998 

70 .134 .997 

69 .173 .996 

68 .220 .995 

67 .275 .993 



66 .338 .990 

65 .408 .987 

64 .483 .982 

63 .561 .977 

62 .640 .970 

61 .717 .962 

60 .787 .953 



59 .848 .942 

58 .898 .929 

57 .936 .916 

56 .963 .901 

55 .980 .886 

54 .990 .871 

76 .041 .999 



73 .104 .998 

72 .136 .997 

71 .175 .996 

70 .222 .995 

69 .276 .993 

68 .338 .990 

67 .407 .987 



66 .481 .982 

65 .559 .977 

64 .637 .971 

63 .712 .963 

62 .782 .954 

61 .842 .943 

60 .893 .931 



59 .931 .918 

58 .959 .904 

57 .977 .890 

56 .988 .874 

78 .042 .999 

75 .105 .998 

74 .137 .997 



.330 



.340 



,360 



.380 



73 .176 .996 
72 .223 .994 
71 .277 .993 
70 .338 .990 
69 .406 .987 
68 .479 .982 
67 .556 .977 



66 .633 .971 
65 .707 .963 
64 .776 .954 
63 .837 .944 
62 .837 .933 
61 .927 .920 
60 .955 .907 



59 .975 .893 
58 .987 .878 
BO .043 .999 
77 .106 .998 
76 .138 .997 
75 .178 .996 
74 .224 .994 



73 .278 .992 
72 .338 .990 
71 .406 .987 
70 .478 .983 
69 .553 .978 
68 .629 .971 
67 .703 .964 



66 .771 .955 
65 .832 .945 
64 .882 .934 
63 .922 .922 
62 .952 .909 
61 .972 .896 
60 .985 .882 



84 


.045 


.999 


82 


.082 


.998 


80 


.141 


.997 


79 


.179 


.996 


78 


.225 


.994 


77 


.278 


.992 


76 


.338 


.990 


75 


.404 


.987 


74 


.474 


.983 


73 


.548 


.978 


72 


.622 


.972 


71 


.694 


.965 


70 


.761 


.957 


69 


.821 


.948 


63 


.872 


.937 


67 


.913 


.926 


66 


.944 


.914 


65 


.966 


.901 


64 


.981 


.888 


63 


.990 


.875 


89 


.033 


.999 


86 


.084 


.998 


84 


.142 


.997 


83 


.181 


.996 


82 


.226 


.994 


81 


.278 


.992 


80 


.337 


.990 


79 


.402 


.987 



,380 



.400 



.420 



78 


.471 


.983 


.440 88 


.596 


.975 


77 


.542 


.978 


87 


.664 


.969 


76 


.615 


.973 


86 


.728 


.963 


75 


.686 


.966 


85 


.786 


.955 


74 


.752 


.959 


84 


.838 


.947 


73 


.812 


.950 


63 


.881 


.938 


72 


.863 


.940 


82 


.917 


.928 


71 


.905 


.930 


81 


.944 


.918 


70 


.937 


.918 


80 


.964 


.908 


69 


.961 


.906 


79 


.978 


.897 


68 


.977 


.894 


78 


.987 


.886 


67 


.987 


.881 


.460 105 


.035 


.999 


93 


.034 


.999 


102 


.086 


.998 


90 


.085 


.998 


100 


.14-^ 


.997 


88 


.143 


.997 


99 


.181 


.996 


87 


.182 


.996 


98 


.225 


.994 


86 


.226 


.994 


97 


.274 


.993 


85 


.278 


.992 


96 


.330 


.990 


84 


.336 


.990 


95 


.391 


.988 


83 


.399 


.987 


94 


.455 


.984 


82 


.467 


.983 


93 


.522 


.980 


81 


.537 


.979 


92 


.590 


.976 


80 


.608 


.973 


91 


.657 


.970 


79 


.578 


.967 


90 


.720 


.964 


78 


.743 


.960 


89 


.779 


.957 


77 


.803 


.952 


88 


.830 


.949 


76 


.854 


.943 


87 


.874 


.940 


75 


.897 


.933 


86 


.91 


.931 


74 


.930 


.922 


85 


.939 


.922 


73 


.955 


.91 1 


84 


.960 


.912 


72 


.972 


.899 


83 


.975 


.901 


71 


.984 


.887 


82 


.985 


.891 


97 


.035 


.999 


.480 109 


.035 


.999 


94 


.086 


.993 


106 


.086 


.998 


Q2 


.144 


.997 


104 


.143 


.997 


91 


.182 


.996 


103 


.180 


.996 


90 


.226 


.994 


102 


.223 


.994 


89 


.277 


.992 


101 


.272 


.993 


88 


.334 


.990 


100 


.327 


.991 


87 


.396 


.987 


99 


.387 


.988 


86 


.463 


.984 


98 


.451 


.985 


85 


.532 


.979 


97 


.517 


.981 



84 .602 .974 

83 .671 .968 

82 .735 .961 

81 .794 .953 

80 .846 .945 

79 .889 .935 

73 .923 .925 



77 
76 
75 
74 



.949 .915 

•968 .904 

.981 .892 

.989 .881 



.440 101 .035 .999 
98 .086 .998 
96 .144 .997 



95 .182 .996 

94 .226 .994 

93 .276 .993 

92 .332 .990 

91 .394 .987 

90 .459 .984 

89 .527 .980 



96 .585 .976 

95 .651 .971 

94 .714 .965 

93 .772 .958 

92 .823 .951 

91 .860 .943 

90 .904 .934 



89 .953 .925 

88 .955 .915 

87 .971 .905 

66 .982 .895 

85 .990 .885 

.500 113 .035 .999 

1 10 .085 .998 



108 .141 .997 

107 .178 .996 

106 .221 .995 

105 .270 .993 

104 .324 .991 

103 .384 .988 

102 .447 .985 



185 



FINITE QUEUING TABLES 



POPULATION 200 



200 



M 



D 



,500 101 .513 .981 

100 .579 .977 

99 .645 .972 

98 .707 .966 

97 .765 .959 

96 .817 .952 

95 .862 .945 



94 .899 .936 

93 .929 .928 

92 .951 .918 

91 .968 .909 

90 .980 .899 

89 .988 .890 

,520 117 .034 .999 



114 .084 .998 

1 12 .140 .997 

111 .176 .996 

110 .219 .995 

109 .267 .993 

108 .321 .991 

107 .380 .988 



.560 



106 


.443 


.985 


105 


.508 


.982 


104 


.574 


.977 


103 


.639 


.973 


102 


.701 


.967 


101 


.759 


.961 


100 


.81 1 


.954 


99 


.856 


.946 


98 


.894 


.939 


97 


.924 


.930 


96 


.948 


.921 


95 


.965 


.912 


94 


.978 


.903 


93 


.986 


.894 


540 121 


.033 


.999 


1 18 


.082 


.998 


116 


.138 


.997 


115 


.174 


.996 


1 14 


.216 


.995 


1 13 


.264 


.993 


1 12 


.318 


.991 


1 1 1 


.376 


.989 


1 10 


.438 


.986 


109 


.503 


.982 


108 


.569 


.978 


107 


.633 


.973 


106 


.696 


.968 


105 


.753 


.962 


104 


.805 


.955 


103 


.851 


.948 


102 


.889 


.941 


101 


.920 


.933 


100 


.944 


.924 


99 


.963 


.916 


98 


.976 


.907 


97 


.985 


.898 


560 124 


.044 


.999 


121 


.105 


.998 


120 


.135 


.997 


1 19 


.171 


.996 


1 18 


.213 


.995 


117 


.261 


.993 



,580 



.650 



1 16 


.314 


.991 


.650 139 


.091 


.998 


.750 138 


.98-' 


.920 


1 15 


.372 


.989 


137 


.153 


.997 


.800 169 


.047 


.999 


1 14 


.434 


.986 


136 


.194 


.996 


166 


.1 5S 


.998 


113 


.498 


.983 


135 


.241 


.994 


165 


.181 


.997 


1 12 


.564 


.979 


134 


.293 


.993 


164 


.234 


.996 


1 11 


.628 


.974 


133 


.351 


.991 


lb3 


.296 


.994 


1 10 


.690 


.969 


132 


.412 


.988 


162 


.36^ 


.992 


109 


.748 


.963 


131 


.477 


.985 


161 


.436 


.990 


108 


.800 


.957 


130 


.543 


.982 


160 


.510 


.987 


107 


.846 


.950 


129 


.608 


.978 


159 


.584 


.983 


106 


.885 


.943 


128 


.671 


.973 


158 


.656 


.980 


105 


.916 


.935 


127 


.730 


.966 


157 


.722 


.975 


104 


.941 


.927 


1?6 


.783 


.963 


156 


.781 


.971 


103 


.960 


.919 


125 


.830 


.957 


155 


.853 


.966 


102 


.974 


.910 


124 


.871 


.950 


154 


.876 


.960 


101 


.983 


.901 


123 


.904 


.944 


153 


.910 


.955 


100 


.990 


.893 


122 


.931 


.937 


152 


.937 


.949 


128 


.043 


.999 


121 


.952 


.930 


151 


.957 


.943 


125 


.103 


.998 


120 


.967 


.922 


150 


.97? 


.937 


124 


.132 


.997 


119 


.978 


.915 


149 


.9&:> 


.931 


123 


.168 


.996 


118 


.986 


.907 


148 


.969 


.925 


122 


.210 


.995 


.700 151 


.041 


.999 


.850 178 


.045 


.999 


121 


.257 


.994 


148 


.106 


.998 


175 


.147 


.998 


120 


.310 


.992 


147 


.139 


.997 


174 


.201 


.997 


1 19 


.368 


.989 


146 


.179 


.996 


173 


.265 


.995 


118 


.429 


.987 


145 


.225 


.995 


172 


.35<^ 


.994 


1 17 


.494 


.983 


144 


.278 


.994 


171 


.417 


.991 


116 


.559 


.979 


143 


.336 


.992 


170 


.499 


.989 


115 


.623 


.975 


142 


.399 


.989 


169 


.581 


.986 


1 14 


.685 


.970 


141 


.464 


.987 


168 


.659 


.982 


1 13 


.743 


.964 


140 


.532 


.983 


167 


.751 


.978 


112 


.796 


.958 


1'?9 


.598 


.980 


166 


.794 


.973 


1 11 


.842 


.952 


138 


.663 


.975 


163 


.847 


.968 


1 10 


.881 


.945 


137 


.723 


.971 


lt.4 


.690 


.963 


109 


.913 


.937 


136 


.778 


.965 


163 


.924 


.958 


108 


.938 


.929 


135 


.826 


.960 


162 


.94q 


.952 


107 


.958 


.921 


134 


.368 


.954 


161 


.967 


.947 


106 


.972 


.913 


133 


.902 


.948 


160 


.979 


.941 


105 


.982 


.905 


132 


.929 


.941 


159 


.987 


.935 


104 


.989 


.896 


131 


.950 


.935 


.900 186 


.060 


.999 


132 


.041 


.999 


130 


.966 


.928 


184 


.150 


.998 


129 


.100 


.998 


129 


.978 


.921 


183 


.21fl 


.997 


128 


.129 


.997 


128 


.986 


.914 


182 


.29=5 


.995 


126 


.206 


.995 


.750 160 


.045 


.999 


181 


.389 


.993 


125 


.253 


.994 


157 


.121 


.998 


180 


.486 


.991 


124 


.306 


.992 


156 


.160 


.997 


179 


.58? 


.988 


123 


.363 


.990 


155 


.206 


.996 


178 


.67? 


.984 


122 


.425 


.987 


154 


.259 


.995 


177 


.75^ 


.980 


121 


.489 


.984 


153 


.318 


.993 


176 


.821 


.976 


120 


.554 


.980 


152 


.383 


.991 


175 


.876 


.971 


1 19 


.619 


.976 


151 


.451 


.988 


174 


.917 


.966 


1 18 


.681 


.971 


150 


.521 


.985 


173 


.947 


.961 


1 17 


.739 


.965 


149 


.591 


.981 


172 


.967 


.955 


116 


.791 


.960 


148 


.658 


.977 


171 


.981 


.950 


115 


.838 


.953 


147 


.720 


.973 


170 


.989 


.944 


1 14 


.877 


.946 


146 


.777 


.968 


.950 194 


.060 


.999 


1 13 


.910 


.939 


145 


.827 


.963 


192 


.219 


.998 


1 12 


.936 


.932 


144 


.869 


.957 


191 


.356 


.996 


1 1 1 


.956 


.924 


143 


.904 


.952 


190 


.466 


.994 


1 10 


.970 


.916 


142 


.931 


.945 


189 


.596 


.991 


109 


.981 


.908 


141 


.952 


.939 


188 


.713 


.987 


108 


.988 


.900 


140 


.968 


.933 


167 


.809 


.983 


142 


.035 


.999 


139 


.979 


.926 


186 


.881 


.978 



186 



FINITE QUEUING TABLES 
X M D F X 

.950 185 .930 .973 .021 
18U .962 .968 
183 .980 .963 .022 



POPULATION 200 - 210 
F X M D F 



POPULATION 


210 


.002 


1 


.417 


.999 


.003 


1 


.624 


.995 


.ooa 


2 


.246 


.999 




1 


.822 


.983 


.005 


2 


.357 


.998 




1 


.972 


.928 


.006 


3 


.155 


.999 




2 


.480 


.996 


.007 


3 


.222 


.999 




2 


.610 


.993 


.008 


3 


.299 


.998 




2 


.743 


.985 


.009 


a 


.144 


.999 




3 


.386 


.997 




2 


.868 


.968 


.010 


a 


.194 


.999 




3 


.481 


.995 




2 


.959 


.929 


.01 1 


n 


.252 


.998 




3 


.581 


.992 


.012 


5 


.129 


.999 




4 


.318 


.998 




3 


.686 


.986 


.013 


5 


.169 


.999 




a 


.390 


.996 




3 


.789 


.977 


.014 


5 


.214 


.999 




u 


.469 


.994 




3 


.881 


.959 


.015 


6 


.115 


.999 




5 


.266 


.998 




4 


.553 


.992 




3 


.950 


.930 


.016 


6 


.146 


.999 




5 


.323 


.997 




a 


.640 


.987 




3 


.986 


.887 


.017 


6 


.183 


.999 




5 


.386 


.996 




4 


.727 


.981 


.018 


7 


.101 


.999 




6 


.225 


.998 




5 


.454 


.994 




a 


.812 


.970 


.019 


7 


.127 


.999 




6 


.271 


.998 




5 


.526 


.992 




a 


.886 


.954 


.020 


7 


.157 


.999 




6 


.322 


.997 




5 


.601 


.988 




4 


.943 


.930 


.021 


7 


.191 


.999 




6 


.378 


.995 



.023 



.024 



.025 



.026 



.028 



.030 



.032 



.034 



.036 



.038 



.040 



5 


.678 


.983 


4 


.977 


.899 


8 


.111 


.999 


7 


.229 


.996 


6 


.438 


.994 


5 


.753 


.976 


8 


.136 


.999 


7 


.272 


.997 


6 


.501 


.992 


5 


.825 


.965 


8 


.164 


.999 


7 


.318 


.996 


6 


.568 


.989 


5 


.387 


.951 


9 


.096 


.999 


8 


.196 


.998 


7 


.368 


.995 


6 


.636 


.985 


5 


.936 


.931 


9 


.1 17 


.999 


8 


.231 


.998 


7 


.422 


.994 


6 


.704 


.979 


5 


.969 


.906 


10 


.084 


.999 


8 


.312 


.996 


7 


.538 


.989 


6 


.833 


.962 



10 .122 .999 
9 .230 .998 
8 .406 .994 
7 .661 .982 
6 .931 .931 

11 .088 .999 
10 .169 .996 



9 .304 .996 

8 .511 .990 
7 .783 .968 
6 .982 .888 

11 .124 .999 

10 .227 .998 

9 .391 .994 



8 .624 .983 

7 .886 .947 
12 .091 .999 
11 .170 .998 
10 .297 .996 

9 .487 .990 

8 .737 .973 



7 .955 .914 
12 .126 .999 
11 .224 .997 
10 .376 .994 

9 .591 .985 

8 .841 .957 
7 .988 .874 



13 .093 .999 

12 .169 .996 

11 .288 .996 

10 .465 .991 

9 .697 .976 

8 .921 .932 



.042 12 .220 .997 

11 .362 .994 

10 .561 .986 

9 .798 .963 

8 .970 .900 

,044 14 .095 .999 

13 .167 .998 



12 .280 .996 

1 1 .444 .991 
10 .660 .979 

9 .8b3 .944 

.046 15 .071 .999 

13 .216 .997 

12 .349 .994 



1 1 .534 .987 
10 .757 .968 

9 .944 .919 

15 .096 .999 

14 .165 .998 

13 .272 .996 

12 .425 .992 



.048 



.050 



.052 



.054 



.056 



.058 



.060 



1 1 


.627 


.981 


10 


.844 


.953 


9 


.979 


.889 


16 


.072 


.999 


14 


.21 1 


.997 


13 


.336 


.994 


12 


.509 


.988 


1 1 


.720 


.972 


10 


.913 


.933 


16 


.096 


.999 


15 


.163 


.998 


14 


.264 


.996 


13 


.408 


.992 



12 .596 .983 



1 1 


.806 


.960 


10 


.959 


.908 


17 


.072 


.999 


15 


.206 


.997 


1 4 


.324 


.995 


13 


.486 


.989 


12 


.6o5 


.975 


1 1 


.880 


.943 


10 


.984 


.879 


17 


.096 


.999 


16 


.160 


.99P 


15 


.256 


.996 


14 


.391 


.992 


13 


.568 


.984 


12 


.770 


.965 


1 1 


.935 


.922 


18 


.073 


.999 


16 


.201 


.997 


15 


.313 


.995 


14 


.464 


.989 


13 


.652 


.978 



.042 14 .069 .999 



12 .845 .951 

11 .970 .898 

18 .095 .999 

17 .157 .998 

16 .248 .996 

15 .376 .993 

14 .542 .985 



.062 



.060 13 .755 .969 

12 .906 .934 

11 .98^? .871 

19 .OT^ .999 

17 .196 .997 

16 .30? .995 

15 .445 .990 



14 .623 .980 

13 .811 .957 

12 .951^ .912 

19 .094 .999 

18 .154 .998 

17 .24'^ .996 

16 .361 .993 



.064 



.066 



.068 



.070 



.075 



.080 



.085 



15 .51° .986 
14 .70? .972 
13 .576 .943 
12 .977 .889 
20 .073 .999 
18 .191 .997 
17 .291 .995 



16 .426 .991 

15 .595 .981 

14 .77Q .962 

13 .927 .924 

21 .056 .999 

19 .15n .998 

IB .25^ .996 



17 .347 .993 

16 .496 .987 

15 .67? .975 

14 .845 .950 

13 .961 .904 

21 .07^ .999 

19 .18=. .997 



18 .281 .995 
17 .409 .991 
16 .569 .983 
15 .746 .966 
14 .900 .934 
13 .98? .882 
22 .C81 .999 



21 .129 .998 

20 .199 .997 

19 .296 .995 

18 .424 .990 

17 .560 .982 

16 .750 .965 

15 .e9s .934 



14 


.97° 


.886 


24 


.055 


.999 


22 


. 140 


.998 


21 


.21? 


.997 


20 


.310 


.994 


19 


.45-7 


.989 


18 


.E90 


.981 


17 


.754 


.964 


16 


.895 


.935 


15 


.97S 


.889 


25 


.061 


.999 


23 


.150 


.998 


22 


.224 


.996 


21 


,3^u 


.994 



187 



FINITE QUEUING TABLES 



POPULATION 210 



210 



.085 



.090 



,095 



100 



105 



1 10 



115 



20 


.450 


.989 


15 ?2 


.954 


.906 


45 36 


.190 


.996 


70 42 


.166 


.997 


19 


.599 


.979 


21 


.983 


.868 


35 


.258 


.995 


41 


.22-^ 


.995 


18 


.757 


.963 


20 34 


.047 


.999 


34 


.341 


.992 


40 


.29? 


.993 


17 


.893 


.935 


31 


.154 


.998 


33 


.438 


.987 


39 


.275 


.990 


16 


.972 


.892 


30 


.218 


.996 


32 


.548 


.980 


38 


.470 


.985 


26 


.068 


.999 


29 


.299 


.994 


31 


.664 


.971 


37 


.573 


.978 


24 


.161 


.998 


28 


.399 


,990 


30 


.776 


.957 


36 


.679 


.968 


23 


.236 


.996 


?7 


.516 


.983 


29 


.872 


.938 


35 


.78^^ 


.955 


22 


.336 


.993 


?6 


.644 


.974 


28 


.940 


.913 


34 


.666 


.939 


21 


.461 


.988 


25 


.771 


.959 


27 


.978 


.885 


33 


.950 


.913 


20 


.607 


.979 


24 


.379 


.937 


50 41 


.048 


.999 


32 


.9o9 


.894 


19 


.760 


.962 


23 


.952 


.907 


39 


.101 


.996 


31 


.989 


.868 


18 


.891 


.935 


22 


.987 


.872 


37 


.197 


.996 


80 48 


.046 


.999 


17 


.969 


.895 


25 35 


.050 


.999 


36 


.265 


.994 


45 


.1 5n 


.998 


27 


.074 


.999 


33 


.113 


.998 


35 


.348 


.991 


44 


.177 


.997 


25 


.171 


.997 


32 


.162 


.997 


34 


.445 


.987 


43 


.255 


.995 


24 


.248 


.996 


31 


.226 


.996 


33 


.554 


.98C 


42 


.305 


.992 


23 


.348 


.992 


30 


.308 


.993 


32 


.668 


.970 


41 


.387 


.989 


22 


.472 


.987 


29 


.408 


.989 


31 


.777 


.956 


40 


.480 


.984 


21 


.615 


.978 


28 


.523 


.983 


30 


.871 


.938 


39 


.581 


.977 


20 


.762 


.962 


27 


.649 


.973 


29 


.938 


.91 ti 


38 


.684 


.968 


19 


.888 


.936 


26 


.773 


.958 


28 


.976 


.887 


37 


.781 


.955 


18 


.966 


.898 


25 


.878 


.937 


55 42 


.051 


.999 


36 


.864 


.939 


29 


.051 


.999 


24 


.949 


.909 


40 


.106 


.998 


35 


.926 


.919 


27 


.122 


.998 


23 


.935 


.875 


39 


.149 


.997 


34 


.966 


.897 


26 


.181 


.997 


30 36 


.054 


.999 


38 


.204 


.996 


33 


.987 


.872 


25 


.259 


.995 


34 


.1 19 


.998 


37 


.272 


.994 


90 50 


.051 


.999 


24 


.359 


.992 


33 


.169 


.997 


36 


.355 


.991 


48 


.102 


.993 


23 


.482 


.986 


32 


.234 


.995 


35 


.452 


.986 


47 


.140 


.997 


22 


.622 


.977 


31 


.316 


.993 


34 


.559 


.979 


46 


.187 


.996 


21 


.765 


.961 


30 


.416 


.989 


33 


.671 


.970 


45 


.246 


.994 


20 


.886 


.936 


29 


.530 


.982 


32 


.778 


.956 


44 


.317 


.992 


19 


.963 


.900 


28 


.653 


.972 


31 


.869 


.938 


43 


.399 


.988 


30 


.056 


.999 


27 


.774 


.958 


30 


.936 


.915 


42 


.490 


.983 


28 


.131 


.998 


26 


.876 


.937 


29 


.975 


.889 


41 


.589 


.976 


27 


.190 


.997 


25 


.947 


.910 


60 43 


.054 


.999 


40 


.688 


.967 


26 


.270 


.995 


24 


.983 


.877 


41 


.111 


.998 


39 


.78^ 


.955 


25 


.370 


.99 1 


35 37 


.058 


.999 


40 


.155 


.997 


38 


.86? 


.939 


24 


.491 


.985 


35 


.125 


.996 


39 


.210 


.996 


37 


.923 


.921 


23 


.628 


.976 


34 


.176 


.997 


38 


.279 


.994 


36 


.963 


.899 


22 


.767 


.960 


33 


.242 


.995 


37 


.362 


.990 


35 


.985 


.876 


21 


.884 


.936 


32 


.325 


.992 


36 


.458 


.986 .200 53 


.059 


.999 


20 


.960 


.902 


31 


.424 


.988 


35 


.564 


.979 


50 


.110 


.998 


31 


.061 


.999 


30 


.536 


.982 


34 


.674 


.969 


49 


.149 


.997 


29 


.139 


.998 


29 


.657 


.972 


33 


.779 


.956 


48 


.197 


.996 


28 


.200 


.997 


28 


.775 


.957 


32 


.868 


.938 


47 


.257 


.994 


27 


.280 


.994 


27 


.875 


.937 


31 


.934 


.916 


46 


.320 


.991 


26 


.380 


.991 


26 


.944 


.911 


30 


.973 


.890 


45 


.409 


.988 


25 


.500 


.985 


25 


.981 


.880 .165 44 


.057 


.999 


44 


.500 


.983 


24 


.634 


.975 .140 38 


.062 


.999 


42 


.1 16 


.996 


43 


.596 


.976 


23 


.768 


.960 


36 


.131 


.998 


41 


.160 


.997 


42 


.692 


.966 


22 


.883 


.936 


35 


.183 


.997 


40 


.216 


.996 


41 


.787 


.954 


21 


.957 


.904 


34 


.250 


.995 


39 


.286 


.993 


40 


.860 


.940 


20 


.990 


.865 


33 


.333 


.992 


38 


.3fa9 


.990 


39 


.920 


.922 


32 


.066 


.999 


32 


.431 


.988 


37 


.464 


.985 


38 


.960 


.902 


30 


.146 


.998 


31 


.543 


.981 


36 


.568 


.978 


37 


.983 


.880 


29 


.209 


.996 


30 


.661 


.971 


35 


.676 


.969 .210 55 


.043 


.999 


28 


.289 


.994 


29 


.776 


.957 


34 


.779 


.956 


52 


.117 


.998 


27 


.390 


.990 


28 


.873 


.938 


33 


.867 


.938 


51 


.157 


.997 


26 


.508 


.984 


27 


.942 


.912 


32 


.932 


.917 


50 


.207 


.996 


25 


.639 


.974 


26 


.980 


.882 


31 


.971 


.892 


49 


.26R 


.994 


24 


.770 


.959 .145 40 


.044 


.999 .170 46 


.041 


.999 


48 


.358 


.991 


23 


.881 


.936 


37 


.137 


.998 


43 


.121 


.998 


47 


.419 


.987 



188 



FINITE QUEUING TABLES 
X M D F X 



M 



D 



POPULATION 210 - 210 
F X M D F 



,210 



,220 



,230 



,240 



.250 



46 


.508 


.982 


as 


.602 


.975 


44 


.696 


.966 


43 


.783 


.954 


4 2 


.859 


.940 


41 


.917 


.923 


40 


.957 


.904 


39 


.981 


.883 


57 


.047 


.999 


55 


.092 


.998 


53 


.166 


.997 


52 


.217 


.995 


51 


.278 


.993 


50 


.348 


.990 


49 


.429 


.986 


48 


.516 


.981 


47 


.608 


.974 


46 


.699 


.965 


45 


.784 


.954 


44 


.857 


.940 


43 


.914 


.924 


42 


.954 


.906 


41 


.978 


.886 


59 


.051 


.999 


57 


.098 


.998 


55 


.174 


.996 


54 


.226 


.995 


53 


.287 


.993 


52 


.358 


.990 


51 


.438 


.986 


50 


.524 


.981 


49 


.614 


.974 


48 


.702 


.965 


47 


.785 


.954 


46 


.856 


.941 


45 


.912 


.925 


44 


.952 


.908 


43 


.976 


.889 


42 


.990 


.869 


62 


.039 


.999 


59 


.104 


.998 


58 


.139 


.997 


57 


.182 


.996 


56 


.235 


.995 


55 


.296 


.992 


54 


.367 


.989 


53 


.446 


.985 


52 


.531 


.980 


51 


.619 


.973 


50 


.705 


.964 


49 


.786 


.954 


48 


.855 


.941 


47 


.910 


.926 


46 


.949 


.909 


45 


.974 


.89 1 


44 


.988 


.872 


64 


.043 


.999 


61 


.110 


.998 


60 


.146 


.997 


59 


.190 


.996 


58 


.243 


.994 


57 


.305 


.992 


56 


.376 


.989 



.250 



,260 



,270 



,280 



,290 



55 .454 .985 
54 .538 .979 
53 .624 .973 
52 .708 .964 
51 .786 .954 
50 .854 .941 
49 .908 .927 



48 .947 .911 

47 .972 .894 

46 .987 .875 

66 .046 .999 

63 .116 .998 

62 .153 .997 

61 .198 .996 



60 .251 .994 
59 .313 .991 
58 .384 .988 
57 .461 .984 
56 .544 .979 
55 .628 .972 
54 .711 .964 



53 .787 .953 
52 .853 .941 
51 .906 .928 
50 .944 .912 
49 .970 .896 
48 .986 .878 
68 .049 .999 



66 .092 .996 
64 .160 .997 
63 .205 .995 
62 .259 .994 
61 .322 .991 
60 .392 .988 
59 .469 .984 



58 .550 .978 

57 .633 .972 

56 .713 .963 

55 .788 .953 

54 .852 .942 

53 .904 .928 

52 .942 .914 



51 .968 .896 
50 .984 .881 
71 .038 .999 
68 .097 .998 
66 .166 .996 
65 .213 .995 
64 .267 .993 



63 .329 .991 
62 .399 .987 
61 .475 .983 
60 .556 .978 
59 .637 .971 
58 .716 .963 
57 .788 .953 



56 .851 .942 
55 .902 .929 
54 .940 .915 
53 .967 .900 
52 .983 .883 
73 .041 ,999 
70 .102 .998 



,290 



i-^00 



.310 



.^20 



69 


.134 


.997 


68 


.173 


.996 


67 


.220 


.995 


66 


.274 


.993 


65 


.337 


.990 


64 


.406 


.987 


63 


.482 


.983 


62 


.561 


.978 


61 


.641 


.971 


60 


.718 


.963 


59 


.789 


.953 


58 


.851 


.942 


57 


.901 


.930 


56 


.939 


.916 



55 .965 .901 

54 .981 .886 

75 .043 .999 

72 .107 .998 

7 1 .139 .997 

70 .179 .996 

69 .226 .995 



68 .281 .993 

67 .344 .990 

66 .413 .987 

65 .488 .982 

64 .566 .977 

63 .645 .971 

62 .720 .963 



61 .790 .953 

60 .350 .942 

59 .899 .930 

58 .937 .917 

57 .963 .903 

56 .980 .888 

77 .046 .999 



74 .111 .998 

73 .145 .997 

72 .185 .996 

71 .233 .994 

70 .288 .992 

69 .351 .990 

68 .420 .986 



67 .494 .982 

66 .571 .977 

65 .648 .970 

64 .722 .962 

63 .790 .953 

62 .850 .943 

61 .898 .931 



60 .935 .918 

59 .962 .904 

58 .979 .890 

57 .989 .875 

80 .035 .999 

77 .088 .998 

75 .150 .997 



74 .191 .996 

73 .239 .994 

72 .295 .992 

71 .353 .989 

70 .426 .986 

69 .500 .982 

68 .576 .976 



,320 



,330 



,340 



,360 



67 .65? .970 

66 .724 .962 

65 .791 .953 

64 .849 .943 

63 .897 ,932 

fe2 .954 .919 

61 .960 .906 



60 


.97 8 


.892 


59 


.980 


.877 


82 


.03-7 


.999 


79 


.09? 


.998 


77 


.155 


.997 


76 


.197 


.995 


75 


.246 


.994 


74 


.301 


.992 


73 


.364 


.989 


72 


.453 


.986 


71 


.505 


.981 


70 


.550 


.976 


69 


.65"=^ 


.970 


68 


.726 


.96? 


67 


.79? 


.953 


66 


.84Q 


.943 


65 


.896 


.932 


64 


.95^ 


.920 


b3 


.959 


.907 


62 


.976 


.894 


ol 


.987 


.880 


84 


.059 


.999 


81 


.096 


.998 


79 


.160 


.997 


78 


.202 


.995 


77 


.25? 


.994 


76 


.300 


.991 


75 


.370 


.989 



74 .45B .985 

73 .51 1 .981 

72 .585 .976 

71 .650 .969 

70 .729 .962 

69 .793 .953 

68 .849 .943 



67 .895 .933 

66 .951 .921 

65 .957 .908 

64 .975 .895 

63 .987 .882 

88 .043 .999 

85 .10^ .998 



84 .154 .997 

83 .170 .996 

82 .213 .995 

81 .263 .993 

60 .320 .991 

79 .38? .988 

78 .450 .985 



77 .521 .980 

76 .59^ .975 

75 .665 .969 

74 .753 .962 

73 .79"=; .953 

72 .849 .944 

71 .894 .934 



189 



FINITE QUEUING TABLES 



POPULATION 210 



210 



M 



D 



M 



D 



M 



D 



M 



D 



,360 



,380 



70 .929 .922 

69 .955 .911 

68 .973 .898 

67 .985 .886 

93 .035 .999 

90 .085 .998 

88 .142 .997 



.420 80 .968 .906 

79 .981 .895 

78 .989 .884 

.440 105 .044 .999 

102 .102 .998 

101 .131 .997 

100 .165 .996 



.480 



95 .393 .93P 

94 .924 .930 

93 .948 .921 

92 .965 .912 

91 .978 .902 

90 .987 .892 

,500 118 .038 .999 



.540 110 .771 .961 

109 .82^ .955 

108 .86? .948 

107 .897 .940 

106 .926 .932 

105 .94R .924 

104 .965 .916 



87 .180 .996 

86 .224 .995 

85 .274 .993 

84 .331 .990 

83 .393 .988 

82 .460 .984 

81 .530 .980 



80 .601 .975 

79 .671 .968 

78 .736 .961 

77 .797 .953 

76 .849 .944 

75 .893 .935 

74 .927 .924 



73 .953 .913 

72 .971 .901 

71 .983 .889 

,400 97 .038 .999 

94 .091 .998 

92 .150 .997 

91 .189 .996 



90 .234 .994 

89 .285 .992 

88 .342 -990 

87 .404 .987 

86 .470 .984 

85 .539 .979 

84 .609 .974 



83 .676 .968 

82 .740 .961 

81 .799 .953 

80 .849 .945 

79 .892 .935 

78 .926 .925 

77 .951 .915 



76 .969 .904 

75 .982 .892 

74 .990 .881 

,420 101 .041 .999 

98 .096 .998 

97 .124 .997 

95 .197 .995 



94 .243 .994 
93 .295 .992 
92 .352 .990 
91 .414 .987 
90 .480 .983 
89 .548 .979 
88 .616 .974 



87 .682 .968 

86 .744 .961 

85 .801 .954 

84 .850 .945 

83 .892 .936 

82 .925 .927 

81 .950 .916 



82 
.460 110 



99 .205 .995 
98 .252 .994 
97 .304 .992 
96 .362 .989 
95 .424 .986 
94 .489 .983 
93 .556 .978 



92 .623 .973 
91 .688 .968 
90 .748 .961 
89 .803 .954 
88 .851 .946 
87 .892 .937 
86 .924 .928 



85 .949 .918 

84 .967 .908 

83 .980 .898 

938 .887 

034 .999 

107 .083 .998 

105 .137 .997 



104 .172 .996 .520 

103 .213 .995 

102 .260 .993 

101 .313 .991 

100 .371 .989 

99 .433 .986 

98 .498 .982 



97 .564 .978 
96 .630 .973 
95 .693 .967 
94 .753 .961 
93 .806 .954 
92 .853 .946 
91 .892 .936 



90 .924 .929 

89 .948 .919 

88 .966 .910 

87 .979 .900 

86 .987 .890 

.480 114 .036 .999 

1 1 1 .087 .998 



109 .143 .997 

108 .179 .996 .540 

107 .221 .995 

106 .269 .993 

105 .322 .991 

104 .380 .989 

103 .442 .986 



102 .506 .982 

101 .572 .978 

100 .636 .973 

99 .699 .967 

98 .757 .961 

97 .809 .954 

96 .855 .946 



115 


.090 


.998 


103 


.977 


.908 


1 13 


.148 


.997 


102 


.98^ 


.899 


112 


.185 


.996 


.560 130 


.043 


.999 


1 1 1 


.228 


.994 


127 


.101 


.998 


110 


.276 


.993 


126 


.129 


.997 


109 


.330 


.991 


124 


.20? 


.995 


108 


.388 


.988 


123 


.247 


.994 


107 


.450 


.985 


122 


.290 


.992 


106 


.514 


.982 


121 


.353 


.990 


105 


.579 


.977 


120 


.41 3 


.988 


104 


.643 


.973 


1 19 


.475 


.984 


103 


.704 


.967 


1 18 


.558 


.981 


102 


.761 


.961 


1 17 


.60? 


.977 


101 


.812 


.95" 


1 16 


.664 


.972 


100 


.857 


.947 


1 15 


.72? 


.967 


99 


.894 


.939 


1 14 


.776 


.961 


98 


.924 


.931 


1 13 


.824 


.955 


97 


.948 


.922 


1 12 


.865 


.948 


96 


.965 


.913 


1 1 1 


.900 


.941 


95 


.978 


.904 


1 10 


.927 


.933 


94 


.986 


.895 


109 


.949 


.925 


122 


.040 


.999 


108 


.966 


.917 


1 19 


.094 


.998 


107 


.977 


.909 


1 17 


.153 


.997 


106 


.986 


.901 


1 16 


.191 


.996 


.580 134 


.044 


.999 


115 


.235 


.994 


1 j>l 


.103 


.998 


1 14 


.284 


.993 


130 


.1 J? 


.997 


1 13 


.338 


.991 


129 


.167 


.996 


112 


.397 


.988 


128 


.207 


.995 


1 1 1 


.459 


.985 


127 


.25^ 


.994 


110 


.522 


.981 


126 


.305 


.992 


109 


.587 


.977 


125 


.3ol 


.990 


108 


.650 


.972 


124 


.4^0 


.987 


107 


.710 


.967 


123 


.483 


.984 


106 


.766 


.961 


y^2 


.54*1 


.981 


105 


.816 


.954 


ui 


.61'^ 


.977 


104 


.859 


.947 


120 


.671 


.972 


103 


.896 


.940 


1 19 


.72« 


.967 


102 


.925 


.932 


1 IB 


.781 


.961 


101 


.948 


.923 


1 17 


.828 


.955 


100 


.965 


.915 


1 16 


.868 


.948 


99 


.977 


.906 


1 15 


.90? 


.941 


98 


.986 


.897 


1 14 


.920 


.934 


126 


.042 


.999 


1 13 


.95^ 


.926 


123 


.097 


.998 


1 12 


.96ft 


.919 


1?1 


.158 


.997 


1 1 1 


.978 


.91 1 


120 


.197 


.996 


1 10 


.986 


.903 


1 19 


.241 


.994 


.600 138 


.045 


.999 


1 18 


.291 


.992 


135 


.106 


.998 


1 17 


.346 


.990 


134 


.1 56 


.997 


1 16 


.405 


.988 


133 


.171 


.996 


1 15 


.467 


.985 


132 


.21? 


.995 


1 14 


.530 


.981 


131 


.259 


.994 


1 13 


.594 


.977 


130 


.31 1 


.992 


1 12 


.657 


.972 


129 


.36 


.990 


1 1 1 


.716 


.967 


128 


.428 


.987 



190 



FINITE QUEUING TABLES 

X M D F X ^' 



POPULATION 210 - 220 
F X M D F 



,600 127 .491 .984 

126 .554 .981 

125 .617 .976 

124 .678 .972 

123 .735 .967 

122 .787 .961 

121 .833 .955 



.750 162 .238 .995 

161 .293 .994 

160 .354 .992 

159 .419 .990 

158 .487 .987 

157 .555 .984 

156 .622 .980 



.900 188 .580 .988 .016 6 .174 .999 

187 .669 .985 5 .371 ,996 

186 .748 .981 4 .700 ,983 

185 .816 .977 .017 6 .217 .998 

184 .870 .972 5 .441 ,995 

183 .912 .967 4 .790 ,973 

182 .943 .962 .018 7 .12u ,999 



120 .872 .949 

119 .905 .942 

118 .931 .935 

117 .952 .927 

116 .967 .920 

115 .978 .912 

114 .986 .904 



155 .686 .976 

154 .745 .972 

153 .798 .967 

152 .843 .962 

151 .882 .956 

150 .913 .951 

149 .938 .945 



1R1 


.964 


.957 


6 


.265 


.998 


180 


.979 


.952 


5 


.516 


.992 


179 


.988 


.947 


4 


.878 


.958 


950 203 


.099 


.999 


.019 7 


.155 


.999 


202 


.177 


.998 


6 


.31° 


.997 


201 


.280 


.997 


5 


.595 


.989 


200 


.402 


.995 


4 


.940 


.934 



.650 148 .046 .999 

145 .110 .998 

144 .142 .997 

143 .180 .996 

142 .223 .995 

141 .272 .994 

140 .326 .992 



148 .957 .939 

147 .971 .933 

146 .981 .927 

145 .988 .920 

.800 177 .052 .999 

175 .104 .99b 

173 .187 .997 



199 .531 .992 

198 .653 .989 

197 .759 .985 

196 .843 .981 

195 .903 .977 

^o^. ,944 ,972 

193 ,970 .967 



.020 



.021 



7 .190 .999 

6 .376 .996 

5 .676 .984 
4 .970 ,901 

8 .111 ,999 

7 .230 ,998 

6 .439 ,994 



139 


.385 


,990 


172 


.240 


.996 




192 


.984 


.962 




5 


.755 


.976 


138 


.447 


.987 


171 


.301 


.994 










.022 


8 


.1 37 


.999 


137 


.51 1 


.984 


170 


.367 


.992 












7 


.274 


.997 


136 


.575 


.980 


169 


.438 


.990 












6 


.50=; 


.992 


135 


.638 


.976 


168 


.51 1 


.987 












5 


.850 


.965 


134 


.697 


.972 


167 


.583 


.984 










.023 


8 


.167 


.999 


133 


.753 


.967 


166 


.653 


.980 












7 


.323 


.996 


132 


.803 


.961 


165 


.718 


.976 


POPULATION 


220 




6 


.575 


.989 


131 


.846 


.956 


164 


.776 


.972 












5 


»B9'^ 


.950 


130 


.883 


.949 


163 


.827 


.967 


.002 


1 


.437 


.998 


.024 


9 


.099 


.999 


129 


.914 


,943 


162 


.870 


.962 


.003 


1 


.653 


.995 




8 


.201 


.998 


128 


.938 


,936 


161 


.905